{"id":11463,"date":"2021-10-12T21:05:00","date_gmt":"2021-10-12T17:35:00","guid":{"rendered":"https:\/\/cfd-mrk.ir\/?page_id=11463"},"modified":"2021-10-13T10:08:24","modified_gmt":"2021-10-13T06:38:24","slug":"direct-and-iterative-methods","status":"publish","type":"page","link":"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/direct-and-iterative-methods\/","title":{"rendered":"\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0648 \u062a\u06a9\u0631\u0627\u0631\u06cc"},"content":{"rendered":"<h2 style=\"text-align: right;\"><span style=\"color: #000000;\"><strong>\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0648 \u062a\u06a9\u0631\u0627\u0631\u06cc \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a<\/strong><\/span><\/h2>\n<h2 style=\"text-align: left;\"><span style=\"color: #000000;\"><strong>Direct and Iterative Methods for solving system of equations <\/strong><\/span><\/h2>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u062d\u0644 \u0639\u062f\u062f\u06cc \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0647 \u0631\u0648\u0634 \u0636\u0645\u0646\u06cc\u060c \u0644\u0627\u0632\u0645\u0633\u062a \u06a9\u0647 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a {b}={x}[A]\u060c \u062f\u0631 \u0647\u0631 \u06af\u0627\u0645 \u0632\u0645\u0627\u0646\u06cc \u06cc\u0627 \u062a\u06a9\u0631\u0627\u0631 \u062d\u0644 \u0634\u0648\u062f. \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u062a\u0639\u062f\u062f\u06cc \u0628\u0631\u0627\u06cc \u062d\u0644 \u0627\u06cc\u0646 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u06a9\u0647 \u06a9\u0644\u0627\u064b \u0628\u0647 \u062f\u0648 \u062f\u0633\u062a\u0647 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0648 \u062a\u06a9\u0631\u0627\u0631\u06cc \u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648\u0634\u200c\u0647\u0627 \u0628\u0637\u0648\u0631 \u0645\u062e\u062a\u0635\u0631 \u062a\u0648\u0636\u06cc\u062d \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/span><\/p>\n<h3 style=\"text-align: right;\"><span style=\"color: #800000;\"><strong>\u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u062f\u0631 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0648 \u062a\u06a9\u0631\u0627\u0631\u06cc<\/strong><\/span><\/h3>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u0631\u0648\u0634 \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0628\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u0645\u0639\u06a9\u0648\u0633 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0636\u0631\u0627\u0626\u0628\u060c <sup>1<\/sup><sup>&#8211;<\/sup>[A]\u060c \u0645\u062c\u0647\u0648\u0644\u0627\u062a \u0628\u0635\u0648\u0631\u062a {x}=<span style=\"color: #ffffff;\"><sup>1<\/sup><\/span>[A]<sup>-1<\/sup>{b}\u0628\u0647 \u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u0646\u062f. \u0644\u0627\u0632\u0645 \u0628\u0647 \u06cc\u0627\u062f\u0622\u0648\u0631\u06cc \u0627\u0633\u062a \u06a9\u0647 \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u0645\u0639\u06a9\u0648\u0633 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0636\u0631\u0627\u0626\u0628\u060c \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0632\u06cc\u0627\u062f\u06cc \u0644\u0627\u0632\u0645 \u062f\u0627\u0631\u062f. \u0631\u0648\u0634\u0647\u0627\u06cc\u06cc \u0646\u0638\u06cc\u0631 \u0642\u0627\u0646\u0648\u0646 \u06a9\u0631\u0627\u0645\u0631(Cramer\u2019s Rule)\u060c \u062d\u0630\u0641\u06cc \u06af\u0627\u0648\u0633(Gaussian Elimination)\u060c \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062a\u0648\u0645\u0627\u0633(Thomas Algorithm) \u0648 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u0633\u062a\u0642\u06cc\u0645 \u067e\u06cc\u0634\u0631\u0641\u062a\u0647 (Advanced-Direct Methods) \u062c\u0632\u0621 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0628\u0634\u0645\u0627\u0631 \u0645\u06cc\u200c\u0631\u0648\u062f.<\/span><\/p>\n<h4><\/h4>\n<h4 style=\"text-align: right;\"><span style=\"color: #ff0000;\"><strong>\u0642\u0627\u0646\u0648\u0646 \u06a9\u0631\u0627\u0645\u0631 (Cramer\u2019s Rule)<\/strong><\/span><\/h4>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0642\u0627\u0646\u0648\u0646 \u06a9\u0631\u0627\u0645\u0631 \u06cc\u06a9\u06cc \u0627\u0632 \u0627\u0628\u062a\u062f\u0627\u06cc\u06cc\u200c\u062a\u0631\u06cc\u0646 \u0631\u0648\u0634\u0647\u0627\u06cc \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0627\u0633\u062a \u0648 \u0634\u062f\u06cc\u062f\u0627\u064b \u0632\u0645\u0627\u0646\u0628\u0631 \u0628\u0648\u062f\u0647 \u0648 \u062a\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u062d\u0644 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u06a9\u0648\u0686\u06a9 \u0645\u0646\u0627\u0633\u0628 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u062a\u0642\u0631\u06cc\u0628\u0627\u064b \u062a\u0639\u062f\u0627\u062f \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0628\u0631\u0627\u06cc \u062d\u0644 \u06cc\u06a9 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a n \u0645\u062c\u0647\u0648\u0644\u06cc\u060c !(n+1)\u00a0 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0628\u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0628\u0631\u0627\u06cc \u062d\u0644 \u06cc\u06a9 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0647 10 \u0645\u062c\u0647\u0648\u0644\u06cc \u0628\u06cc\u0634 \u0627\u0632 39 \u0645\u06cc\u0644\u06cc\u0648\u0646 \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0627\u0633\u062a \u062a\u0627 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0630\u06a9\u0648\u0631 \u062d\u0644 \u0634\u0648\u062f. \u0647\u0645\u0686\u0646\u06cc\u0646\u060c \u0628\u0631\u0627\u06cc \u062d\u0644 \u06cc\u06a9 \u062f\u0627\u0645\u0646\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0628\u0627 11*11 \u06af\u0631\u0647 \u0645\u062a\u0634\u06a9\u0644 \u0627\u0632 81 \u0645\u062c\u0647\u0648\u0644\u060c !82 \u0645\u0639\u0627\u062f\u0644 \u00a0\u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0627\u0633\u062a \u06a9\u0647 \u0627\u0646\u062c\u0627\u0645 \u0627\u06cc\u0646 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06cc\u06a9 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631 \u0628\u0627 \u0633\u0631\u0639\u062a \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc 100 \u0645\u06cc\u0644\u06cc\u0648\u0646 \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u062f\u0631 \u062b\u0627\u0646\u06cc\u0647\u060c \u0645\u06cc\u0644\u06cc\u0627\u0631\u062f\u0647\u0627 \u0645\u06cc\u0644\u06cc\u0627\u0631\u062f \u0633\u0627\u0644 \u0628\u0637\u0648\u0644 \u062e\u0648\u0627\u0647\u062f \u0627\u0646\u062c\u0627\u0645\u06cc\u062f [1]. \u0628\u0637\u0648\u0631 \u062e\u0644\u0627\u0635\u0647 \u0631\u0648\u0634 \u06a9\u0644\u06cc \u062d\u0644 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (1) \u0628\u0635\u0648\u0631\u062a \u0631\u0648\u0627\u0628\u0637 \u0627\u0634\u0627\u0631\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (2) \u0645\u06cc \u0628\u0627\u0634\u062f.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11470 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Cramer-Rule.png\" alt=\"\u0642\u0627\u0646\u0648\u0646 \u06a9\u0631\u0627\u0645\u0631\" width=\"1043\" height=\"338\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Cramer-Rule.png 1043w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Cramer-Rule-300x97.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Cramer-Rule-1024x332.png 1024w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Cramer-Rule-768x249.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Cramer-Rule-360x117.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Cramer-Rule-600x194.png 600w\" sizes=\"auto, (max-width: 1043px) 100vw, 1043px\" \/><\/p>\n<h4><\/h4>\n<h4 style=\"text-align: right;\"><span style=\"color: #ff0000;\"><strong>\u0631\u0648\u0634 \u062d\u0630\u0641\u06cc \u06af\u0648\u0633 (Gaussian Elimination Method)<\/strong><\/span><\/h4>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0631\u0648\u0634 \u062d\u0630\u0641\u06cc \u06af\u0648\u0633 \u0631\u0648\u0634\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0645\u0646\u0627\u0633\u0628 \u0648 \u06a9\u0627\u0631\u0627 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0636\u0645\u0646\u06cc \u0633\u06cc\u0633\u062a\u0645 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062c\u0628\u0631\u06cc\u060c \u0628\u0648\u06cc\u0698\u0647 \u0628\u0631\u0627\u06cc \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0633\u0647 \u0642\u0637\u0631\u06cc\u060c \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u062a\u0642\u0631\u06cc\u0628\u0627\u064b <strong>n<sup>3<\/sup>\/3<\/strong> \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0628\u0631\u0627\u06cc \u062d\u0644 \u06cc\u06a9 \u062f\u0633\u062a\u06af\u0627\u0647 n \u0645\u062c\u0647\u0648\u0644\u06cc \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0627\u0633\u062a. \u062f\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0631\u0648\u0634 \u06a9\u0631\u0627\u0645\u0631\u060c \u0628\u0631\u0627\u06cc \u062d\u0644 \u06cc\u06a9 \u062f\u0627\u0645\u0646\u0647 \u0639\u062f\u062f\u06cc \u0628\u0627 11*11 \u06af\u0631\u0647 \u0645\u062a\u0634\u06a9\u0644 \u0627\u0632 81 \u0645\u062c\u0647\u0648\u0644\u060c \u062a\u0646\u0647\u0627 \u062f\u0631 \u062d\u062f\u0648\u062f \u06a9\u0645\u062a\u0631 \u0627\u0632 180.000 \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0628\u0648\u062f\u0647 \u06a9\u0647 \u0628\u0647 \u0647\u06cc\u0686 \u0639\u0646\u0648\u0627\u0646 \u0642\u0627\u0628\u0644 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0631\u0648\u0634 \u06a9\u0631\u0627\u0645\u0631 \u0646\u0645\u06cc\u200c\u0628\u0627\u0634\u062f [1]. <\/span><span style=\"color: #000000;\">\u0628\u0627\u06cc\u062f \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a \u06a9\u0647 \u062e\u0637\u0627\u0647\u0627\u06cc \u06af\u0631\u062f \u0633\u0627\u0632\u06cc \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647 \u0628\u0648\u062f\u0647 \u0648 \u062f\u0631 \u067e\u0627\u0631\u0647\u200c\u0627\u06cc \u0627\u0648\u0642\u0627\u062a \u062f\u0631 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0627 \u062a\u0639\u062f\u0627\u062f \u0645\u062c\u0647\u0648\u0644\u0627\u062a \u0632\u06cc\u0627\u062f\u060c \u0645\u0648\u062c\u0628 \u0627\u0632 \u06a9\u0627\u0631 \u0627\u0641\u062a\u0627\u062f\u0646 \u0641\u0631\u0622\u06cc\u0646\u062f \u062d\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0648\u0627\u0642\u0639 \u062f\u0642\u062a \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0647 \u0646\u0648\u0639 \u0633\u06cc\u0633\u062a\u0645 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0633\u062a\u06af\u06cc \u062f\u0627\u0631\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0648\u0634\u060c \u0628\u0627 \u062c\u0627\u0628\u062c\u0627 \u06a9\u0631\u062f\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a\u060c \u0645\u0627\u062a\u0631\u06cc\u0633 \u0636\u0631\u0627\u0626\u0628 \u0628\u0647 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627\u0644\u0627 \u0645\u062b\u0644\u062b\u06cc \u0648 \u06cc\u0627 \u067e\u0627\u06cc\u06cc\u0646 \u0645\u062b\u0644\u062b\u06cc \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f. <\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (3) \u0631\u0627 \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f. <\/span><span style=\"color: #000000;\">\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u0627\u0634\u0627\u0631\u0647 \u0634\u062f\u060c \u062f\u0631 \u0631\u0648\u0634 \u062d\u0630\u0641\u06cc \u06af\u0648\u0633 \u0633\u0639\u06cc \u0628\u0631 \u0627\u06cc\u0646\u0633\u062a \u06a9\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0636\u0631\u0627\u0626\u0628 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0647 (3) \u0628\u0647 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627\u0644\u0627 \u0645\u062b\u0644\u062b\u06cc \u062a\u0628\u062f\u06cc\u0644 \u06af\u0631\u062f\u062f (\u0645\u0639\u0627\u062f\u0644\u0647 4). \u0627\u06cc\u0646\u06a9\u0627\u0631 \u0645\u0633\u062a\u0644\u0632\u0645 \u062d\u0630\u0641 \u062a\u0639\u062f\u0627\u062f\u06cc \u0627\u0632 \u0645\u062c\u0647\u0648\u0644\u200c\u0647\u0627 \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06cc\u06a9 \u0633\u0631\u06cc \u0639\u0645\u0644\u06cc\u0627\u062a \u062c\u0628\u0631\u06cc \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0628\u0627 \u062a\u0628\u062f\u06cc\u0644 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (3) \u0628\u0647 \u06cc\u06a9 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0627\u0644\u0627 \u0645\u062b\u0644\u062b\u06cc\u060c \u062a\u0646\u0647\u0627 \u06cc\u06a9 \u0645\u062c\u0647\u0648\u0644 \u062f\u0631 \u0622\u062e\u0631\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 \u0648 \u062f\u0648 \u0645\u062c\u0647\u0648\u0644 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 \u06cc\u06a9\u06cc \u0628\u0647 \u0622\u062e\u0631 \u0648 \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u0645\u0634\u0627\u0628\u0647 \u062a\u0627 \u0645\u0639\u0627\u062f\u0644\u0647 \u0627\u0648\u0644 \u0627\u062f\u0627\u0645\u0647 \u06cc\u0627\u0641\u062a\u0647 \u0648 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0647 (3) \u0628\u0647 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0647 \u0628\u0627\u0644\u0627 \u0645\u062b\u0644\u062b\u06cc (4) \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n<h6 style=\"text-align: center;\"><span style=\"color: #ccffff;\">\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0648 \u062a\u06a9\u0631\u0627\u0631\u06cc<\/span><\/h6>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (4)\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u067e\u0627\u0633\u062e\u200c\u0647\u0627 \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646\u06cc \u0628\u0631\u06af\u0634\u062a\u06cc (Back Substitution) \u0628\u062f\u0633\u062a \u0622\u0648\u0631\u062f. \u0628\u0631\u0627\u06cc \u062f\u0631\u06a9 \u0628\u0647\u062a\u0631\u060c \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0627 \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0639\u062f\u062f\u06cc (\u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a 5) \u062a\u0648\u0636\u06cc\u062d \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a. \u062f\u0631 \u0631\u0648\u0634 \u062d\u0630\u0641\u06cc \u06af\u0648\u0633\u060c \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0628\u0631\u0627\u06cc \u0631\u0633\u06cc\u062f\u0646 \u0628\u0647 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627\u0644\u0627 \u0645\u062b\u0644\u062b\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0628\u0646\u0627 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u062f\u0631 \u062a\u0628\u062f\u06cc\u0644 \u0628\u0627\u0644\u0627 \u0645\u062b\u0644\u062b\u06cc\u060c \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 \u0627\u0648\u0644 \u062a\u0627 \u0645\u0639\u0627\u062f\u0644\u0647 \u0645\u0627 \u0642\u0628\u0644 \u0622\u062e\u0631 \u0628\u0639\u0646\u0648\u0627\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0628\u0646\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0647\u0645\u06cc\u0646 \u062e\u0627\u0637\u0631 \u0628\u0627 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0646 \u0627\u0648\u0644\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 \u0627\u0632 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (\u0627\u0644\u0641-5) \u0628\u0639\u0646\u0648\u0627\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 \u0645\u0628\u0646\u0627\u060c \u0645\u062c\u0647\u0648\u0644 u<sub>1<\/sub> \u0627\u0632 \u062f\u0648 \u0645\u0639\u0627\u062f\u0644\u0647 \u0628\u0639\u062f\u06cc (\u0645\u0639\u0627\u062f\u0644\u0647 6) \u062d\u0630\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647\u060c \u0628\u0627 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 \u062f\u0648\u0645 \u0627\u0632 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (6) \u0628\u0639\u0646\u0648\u0627\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 \u0645\u0628\u0646\u0627\u060c u<sub>2<\/sub> \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 \u0622\u062e\u0631 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (6)\u00a0 \u062d\u0630\u0641 \u0634\u062f\u0647 \u0648 \u0628\u0647 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (7) \u0645\u06cc\u200c\u0631\u0633\u06cc\u0645.<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11477 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Gaussian-Elimination.png\" alt=\"\u0631\u0648\u0634 \u062d\u0630\u0641\u06cc \u06af\u0648\u0633\" width=\"1056\" height=\"659\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Gaussian-Elimination.png 1056w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Gaussian-Elimination-300x187.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Gaussian-Elimination-1024x639.png 1024w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Gaussian-Elimination-768x479.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Gaussian-Elimination-360x225.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Gaussian-Elimination-600x374.png 600w\" sizes=\"auto, (max-width: 1056px) 100vw, 1056px\" \/>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0645\u0639\u0627\u062f\u0644\u0647 \u0633\u0648\u0645 \u062f\u0631 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (7)\u060c \u0645\u0642\u062f\u0627\u0631 u<sub>3<\/sub>=3 \u0628\u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f. \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634 \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u0628\u0631\u06af\u0634\u062a\u06cc\u060c \u0628\u0627 \u0642\u0631\u0627\u0631 \u062f\u0627\u062f\u0646 \u0645\u0642\u062f\u0627\u0631 \u06a9\u0645\u06cc\u062a u<sub>3<\/sub> \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 \u062f\u0648\u0645 \u0627\u0632 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (7)\u060c \u0645\u0642\u062f\u0627\u0631 u<sub>2<\/sub>=2 \u0648 \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0628\u0627 \u0642\u0631\u0627\u0631 \u062f\u0627\u062f\u0646 \u06a9\u0645\u06cc\u062a\u0647\u0627\u06cc u<sub>2<\/sub> \u0648 u<sub>3<\/sub> \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 \u0627\u0648\u0644\u060c u<sub>1<\/sub>=1 \u0631\u0627 \u0628\u0647 \u062f\u0633\u062a \u0622\u0648\u0631\u06cc\u062f.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h4 style=\"text-align: right;\"><span style=\"color: #ff0000;\"><strong>\u0631\u0648\u0634 \u062a\u0648\u0645\u0627\u0633 (<span style=\"color: #ff0000;\">Thomas Algorithm<\/span>)<\/strong><\/span><\/h4>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0631\u0648\u0634 \u062a\u0648\u0645\u0627\u0633 \u062f\u0631 \u0648\u0627\u0642\u0639 \u062d\u0627\u0644\u062a \u0627\u0635\u0644\u0627\u062d \u0634\u062f\u0647\u200c\u0627\u06cc \u0627\u0632 \u0631\u0648\u0634 \u062d\u0630\u0641\u06cc \u06af\u0648\u0633 \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0633\u0627\u0644 1949 \u062a\u0648\u0633\u0637 \u062a\u0648\u0645\u0627\u0633 \u0627\u0631\u0627\u0626\u0647 \u0634\u062f. \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0648\u06cc\u0698\u0647 \u062d\u0644 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0633\u0647 \u0642\u0637\u0631\u06cc \u0628\u0648\u062f\u0647 \u06a9\u0647 \u0628\u0647 \u0631\u0627\u062d\u062a\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0635\u0641\u0631\u0647\u0627\u06cc \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0636\u0631\u0627\u0626\u0628\u060c \u0622\u0646\u0631\u0627 \u0628\u0635\u0648\u0631\u062a \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627\u0644\u0627 \u0645\u062b\u0644\u062b\u06cc \u0633\u0627\u062f\u0647 \u06a9\u0631\u062f. \u0628\u0631\u0627\u06cc \u062f\u0631\u06a9 \u0628\u0647\u062a\u0631\u060c \u0628\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0633\u0647 \u0642\u0637\u0631\u06cc \u0636\u0631\u0627\u0626\u0628 \u0645\u0639\u0627\u062f\u0644\u0647 (8) \u062a\u0648\u062c\u0647 \u0634\u0648\u062f. <\/span><span style=\"color: #000000;\">\u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0627\u0628\u0637 (9) \u0648 (10) \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0645\u0639\u0627\u062f\u0644\u0647 (8) \u0631\u0627 \u0628\u0635\u0648\u0631\u062a \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627\u0644\u0627 \u0645\u062b\u0644\u062b\u06cc \u062a\u0628\u062f\u06cc\u0644 \u06a9\u0631\u062f\u0647 \u0648 \u0628\u0627 \u0628\u06a9\u0627\u0631\u06af\u06cc\u0631\u06cc \u0631\u0648\u0634 \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646\u06cc \u0628\u0631\u06af\u0634\u062a\u06cc (\u0631\u0627\u0628\u0637\u0647 11) \u0645\u062c\u0647\u0648\u0644\u0627\u062a \u0631\u0627 \u0645\u0634\u062e\u0635 \u0648 \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (\u0627\u0644\u0641-12) \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0631\u0627 \u062d\u0644 \u0646\u0645\u0648\u062f.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11482 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Thomas-Algorithm.png\" alt=\"\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062a\u0648\u0645\u0627\u0633\" width=\"1042\" height=\"816\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Thomas-Algorithm.png 1042w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Thomas-Algorithm-300x235.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Thomas-Algorithm-1024x802.png 1024w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Thomas-Algorithm-768x601.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Thomas-Algorithm-345x270.png 345w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Thomas-Algorithm-600x470.png 600w\" sizes=\"auto, (max-width: 1042px) 100vw, 1042px\" \/><\/p>\n<h4 style=\"text-align: right;\"><span style=\"color: #ff0000;\"><strong>\u0633\u0627\u06cc\u0631 \u0631\u0648\u0634\u200c\u0647\u0627<\/strong><\/span><\/h4>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u06cc\u0627\u062f \u0634\u062f\u0647 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062f\u06cc\u06af\u0631\u06cc \u0646\u06cc\u0632 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u0633\u0631\u06cc\u0639\u062a\u0631 \u0647\u0633\u062a\u0646\u062f. \u0627\u0645\u0627 \u0628\u0627\u06cc\u062f \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a \u06a9\u0647 \u0647\u06cc\u0686 \u06cc\u06a9 \u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648\u0634\u200c\u0647\u0627\u060c \u06cc\u06a9 \u0631\u0648\u0634 \u06a9\u0644\u06cc \u0648 \u062c\u0627\u0645\u0639 \u0646\u06cc\u0633\u062a. \u0628\u0631\u062e\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648\u0634\u200c\u0647\u0627 \u062a\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062c\u0628\u0631\u06cc \u062e\u0627\u0635\u06cc \u06a9\u0627\u0631\u0628\u0631\u062f \u062f\u0627\u0631\u062f \u06a9\u0647 \u0627\u0632 \u0627\u0646\u0648\u0627\u0639 \u062e\u0627\u0635\u06cc \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062a\u0641\u0627\u0636\u0644 \u0645\u062d\u062f\u0648\u062f \u0646\u0627\u0634\u06cc \u0634\u062f\u0647 \u0627\u0633\u062a. \u0647\u0645\u0686\u0646\u06cc\u0646\u060c \u0627\u06a9\u062b\u0631 \u0627\u06cc\u0646 \u0645\u062a\u062f\u0647\u0627 \u062a\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u06a9\u0648\u0686\u06a9 \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0633\u062a\u060c \u0686\u0631\u0627 \u06a9\u0647 \u0628\u062f\u0644\u06cc\u0644 \u0627\u0641\u0632\u0627\u06cc\u0634 \u062e\u0637\u0627\u06cc \u06af\u0631\u062f \u0633\u0627\u0632\u06cc\u060c \u0646\u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0631\u0627 \u062d\u0644 \u06a9\u0631\u062f.<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"> \u0628\u0647 \u0647\u0631 \u062d\u0627\u0644\u060c \u0627\u0646\u0648\u0627\u0639 \u0645\u062a\u0639\u062f\u062f\u06cc \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0633\u0631\u06cc\u0639 \u0648 \u067e\u06cc\u0634\u0631\u0641\u062a\u0647 \u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 \u06a9\u0647 \u0627\u0632 \u062c\u0645\u0644\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0627\u0646\u062a\u0634\u0627\u0631 \u0628\u0631\u062f\u0627\u0631 \u062e\u0637\u0627 (Error Vector Propagation (EVP))\u060c \u0631\u0648\u0634\u0647 (Roache)\u060c \u06a9\u0627\u0647\u0634 \u0632\u0648\u062c-\u0641\u0631\u062f (Odd-Even Reduction) \u0628\u0648\u0646\u0645\u0646 (Buneman) \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0631\u0648\u0634 \u062a\u0628\u062f\u06cc\u0644 \u0633\u0631\u06cc \u0641\u0648\u0631\u06cc\u0647 \u0647\u0627\u06a9\u0646\u06cc (Hockney) \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0647 \u067e\u0648\u0627\u0633\u0648\u0646 \u0627\u0634\u0627\u0631\u0647 \u06a9\u0631\u062f. \u06cc\u06a9\u06cc \u062f\u06cc\u06af\u0631 \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u0633\u062a\u0642\u06cc\u0645 \u067e\u06cc\u0634\u0631\u0641\u062a\u0647\u060c \u0631\u0648\u0634 \u0645\u0627\u062a\u0631\u06cc\u0633 \u067e\u0631\u0627\u06a9\u0646\u062f\u0647 (Spares Matrix Method ) \u0627\u0633\u062a. \u0627\u0644\u0628\u062a\u0647 \u0639\u0644\u06cc \u0631\u063a\u0645 \u0639\u0645\u0648\u0645\u06cc\u062a\u0634\u060c \u0646\u06cc\u0627\u0632\u0645\u0646\u062f \u062d\u0627\u0641\u0638\u0647 \u0631\u0627\u06cc\u0627\u0646\u0647\u200c\u0627\u06cc \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647\u06cc \u0645\u06cc\u200c\u0628\u0627\u0634\u062f \u0648 \u0639\u0645\u0644\u0627\u064b \u0627\u0632 \u0628\u0631\u062e\u06cc \u0627\u0632 \u0631\u0648\u0634\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631\u06cc \u062f\u0627\u0631\u0627\u06cc \u06a9\u0627\u0631\u0627\u06cc\u06cc \u06a9\u0645\u062a\u0631\u06cc \u0627\u0633\u062a[2].<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: right;\"><span style=\"color: #800000;\"><strong>\u062d\u0644 \u062a\u06a9\u0631\u0627\u0631\u06cc \u062f\u0631 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0648 \u062a\u06a9\u0631\u0627\u0631\u06cc<\/strong><\/span><\/h3>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631\u06cc \u06cc\u0627 \u0647\u0645\u0627\u0646 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062e\u0644\u0627\u0635\u06cc (Relaxation) \u06a9\u0647 \u0633\u0627\u0628\u0642\u0627\u064b \u0628\u0627 \u0639\u0646\u0648\u0627\u0646 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062e\u0644\u0627\u0635\u06cc \u0628\u0627\u0642\u06cc\u0645\u0627\u0646\u062f\u0647 (Residual Relaxation) \u0646\u06cc\u0632 \u0634\u0646\u0627\u062e\u062a\u0647 \u0645\u06cc\u200c\u0634\u062f \u0628\u0647 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc\u06cc \u06af\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646\u0647\u0627 \u0645\u062c\u0647\u0648\u0644\u0627\u062a \u06cc\u06a9 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0633\u0639\u06cc \u0648 \u062e\u0637\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0647\u062f\u0641 \u0627\u0632 \u0628\u06a9\u0627\u0631\u06af\u06cc\u0631\u06cc \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0631\u0633\u06cc\u062f\u0646 \u0628\u0647 \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u0633\u0631\u06cc\u0639\u062a\u0631 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0686\u0631\u0627 \u06a9\u0647 \u0647\u0631 \u0686\u0647 \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u0633\u0631\u06cc\u0639\u062a\u0631 \u0628\u0627\u0634\u062f \u062a\u0639\u062f\u0627\u062f \u0639\u0645\u0644\u06cc\u0627\u062a \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u06a9\u0645\u062a\u0631\u06cc \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0627\u0633\u062a \u0648 \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647 \u0645\u0648\u062c\u0628 \u062a\u0648\u0644\u06cc\u062f \u062e\u0637\u0627\u06cc \u0647\u0645\u06af\u0631\u0627\u0626\u06cc \u06a9\u0645\u062a\u0631\u06cc \u062f\u0631 \u062c\u0648\u0627\u0628\u200c\u0647\u0627\u06cc \u0646\u0647\u0627\u06cc\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f. \u0644\u0627\u0632\u0645 \u0628\u0647 \u062a\u0648\u0636\u06cc\u062d \u0627\u0633\u062a \u06a9\u0647 \u0647\u0631 \u0686\u0647 \u0628\u062a\u0648\u0627\u0646 \u0627\u0632 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u062c\u062f\u06cc\u062f \u0628\u06cc\u0634\u062a\u0631\u06cc \u062f\u0631 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f\u060c \u0627\u06cc\u0646 \u0631\u0648\u0634\u200c\u0647\u0627 \u0633\u0631\u06cc\u0639\u062a\u0631 \u0647\u0645\u06af\u0631\u0627 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u062f\u06cc\u0647\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0647\u0631 \u0686\u0647 \u06af\u0633\u0633\u062a\u0647\u200c\u0633\u0627\u0632\u06cc \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062d\u0627\u06a9\u0645 \u062f\u0631 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u0641\u0627\u0636\u0644 \u0645\u062d\u062f\u0648\u062f\u060c \u062d\u062c\u0645 \u0645\u062d\u062f\u0648\u062f \u0648 \u0627\u0644\u0645\u0627\u0646 \u0645\u062d\u062f\u0648\u062f \u062f\u0631 \u0641\u0648\u0627\u0635\u0644 \u06a9\u0648\u0686\u06a9\u062a\u0631\u06cc (\u062a\u0639\u062f\u0627\u062f \u0627\u0644\u0645\u0627\u0646\u0647\u0627\u06cc \u0628\u06cc\u0634\u062a\u0631 \u0648 \u06a9\u0648\u0686\u06a9\u062a\u0631\u06cc \u062f\u0631 \u06cc\u06a9 \u062f\u0627\u0645\u0646\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc) \u0627\u0646\u062c\u0627\u0645 \u0634\u0648\u062f\u060c \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0636\u0631\u0627\u0626\u0628 \u0628\u0637\u0648\u0631 \u0686\u0634\u0645\u06af\u06cc\u0631\u06cc \u0628\u0632\u0631\u06af \u0645\u06cc\u200c\u0634\u0648\u062f \u0627\u0645\u0627 \u062f\u0631 \u0639\u0648\u0636 \u0686\u06af\u0627\u0644\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 (\u0646\u0633\u0628\u062a \u062a\u0639\u062f\u0627\u062f \u0622\u0631\u0627\u06cc\u0647\u200c\u0647\u0627\u06cc \u063a\u06cc\u0631 \u0635\u0641\u0631 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0647 \u06a9\u0644 \u062a\u0639\u062f\u0627\u062f \u0622\u0631\u0627\u06cc\u0647\u200c\u0647\u0627\u06cc \u0622\u0646) \u0628\u0637\u0648\u0631 \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647\u06cc \u06a9\u0645\u062a\u0631 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0686\u0646\u06cc\u0646 \u0634\u0631\u0627\u0626\u0637\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u0633\u062a\u0642\u06cc\u0645 \u0628\u0631\u0627\u06cc \u062d\u0644 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0633\u06cc\u0627\u0631 \u0628\u0632\u0631\u06af \u06a9\u0627\u0631\u0633\u0627\u0632 \u0646\u06cc\u0633\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u0641\u0632\u0627\u06cc\u0634 \u0627\u0646\u062f\u0627\u0632\u0647 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u06a9\u0627\u0647\u0634 \u0686\u06af\u0627\u0644\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633\u060c \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0645\u0639\u0645\u0648\u0644\u200c\u062a\u0631 \u0648 \u0645\u0646\u0627\u0633\u0628\u200c\u062a\u0631 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f.<\/span><\/p>\n<h6 style=\"text-align: center;\"><span style=\"color: #ccffff;\">\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0648 \u062a\u06a9\u0631\u0627\u0631\u06cc<\/span><\/h6>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u06cc \u0627\u0632 \u06cc\u06a9 \u0628\u0631\u0646\u0627\u0645\u0647 \u0631\u0627\u06cc\u0627\u0646\u0647\u200c\u0627\u06cc \u062a\u0641\u0627\u0636\u0644 \u0645\u062d\u062f\u0648\u062f \u06cc\u0627 \u0627\u0644\u0645\u0627\u0646 \u0645\u062d\u062f\u0648\u062f\u060c \u0628\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0636\u0631\u0627\u0626\u0628 \u0646\u0647\u0627\u06cc\u06cc A\u060c \u06a9\u0647 \u062f\u0627\u0631\u0627\u06cc 5 \u062a\u0627 10 \u0645\u062c\u0647\u0648\u0644 \u062f\u0631 \u0647\u0631 \u0631\u062f\u06cc\u0641 (\u0647\u0631 \u0631\u062f\u06cc\u0641 \u0627\u06cc\u0646 \u0645\u0627\u062a\u0631\u06cc\u0633 \u062f\u0631 \u0648\u0627\u0642\u0639 \u0636\u0631\u0627\u06cc\u0628 \u0645\u0639\u0627\u062f\u0644\u0647 \u062c\u0628\u0631\u06cc \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0647\u0631 \u06af\u0631\u0647) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f\u060c \u062a\u0648\u062c\u0647 \u0634\u0648\u062f. \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a\u060c \u062d\u0627\u0641\u0638\u0647 (Storage) \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0628\u0631\u0627\u06cc \u0645\u062f \u0630\u062e\u06cc\u0631\u0647 \u0641\u0634\u0631\u062f\u0647 \u0645\u062d\u0635\u0648\u0631 (Banded Compact Storage Mode ) \u0628\u0631\u0627\u0628\u0631 N*M \u06a9\u0647 N \u0627\u0646\u062f\u0627\u0632\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648 M \u0637\u0648\u0644 \u0628\u0627\u0646\u062f \u06a9\u0644 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0645\u06cc \u0628\u0627\u0634\u062f\u060c \u0627\u0633\u062a. \u062f\u0631 \u0627\u06cc\u0646 \u062d\u0627\u0644\u062a \u062a\u0639\u062f\u0627\u062f \u06a9\u0644 \u0622\u0631\u0627\u06cc\u0647\u200c\u0647\u0627\u06cc \u063a\u06cc\u0631 \u0635\u0641\u0631 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627 \u0641\u0631\u0636 5 \u0645\u062c\u0647\u0648\u0644 \u062f\u0631 \u0647\u0631 \u0631\u062f\u06cc\u0641 \u0645\u0639\u0627\u062f\u0644 5N \u0627\u0633\u062a. \u0647\u0645\u0686\u0646\u06cc\u0646 \u0686\u06af\u0627\u0644\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 \u0641\u0634\u0631\u062f\u0647 \u0645\u062d\u0635\u0648\u0631 (Banded Compact Matrix Density) (\u0646\u0633\u0628\u062a \u062a\u0639\u062f\u0627\u062f \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u063a\u06cc\u0631 \u0635\u0641\u0631 \u0628\u0647 \u062a\u0639\u062f\u0627\u062f \u06a9\u0644 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627)\u060c \u0628\u0631\u0627\u0628\u0631 \u0628\u0627 (5N\/NM)=(5\/M) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u06cc\u0646 \u062a\u0648\u0636\u06cc\u062d\u0627\u062a\u060c \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u0646\u062f\u0631\u062c \u062f\u0631 \u062c\u062f\u0648\u0644 (1) \u0628\u0631\u0627\u06cc \u0647\u0631 \u0633\u06cc\u0633\u062a\u0645 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062c\u0628\u0631\u06cc \u0635\u0627\u062f\u0642 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.<\/span><\/p>\n<h6><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11488 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Coefficient-Matrix.png\" alt=\"\u0645\u0627\u062a\u0631\u06cc\u0633 \u0636\u0631\u0627\u06cc\u0628\" width=\"433\" height=\"343\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Coefficient-Matrix.png 433w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Coefficient-Matrix-300x238.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Coefficient-Matrix-341x270.png 341w\" sizes=\"auto, (max-width: 433px) 100vw, 433px\" \/><\/h6>\n<h6 style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>\u0645\u0627\u062a\u0631\u06cc\u0633 \u0636\u0631\u0627\u06cc\u0628 A \u0627\u06cc\u062c\u0627\u062f \u0634\u062f\u0647 \u062f\u0631 \u0633\u06cc\u0633\u062a\u0645 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062c\u0628\u0631\u06cc \u0628\u0631\u0627\u06cc 5 \u0645\u062c\u0647\u0648\u0644 \u062f\u0631 \u0647\u0631 \u06af\u0631\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc<\/strong><\/span><\/h6>\n<p>&nbsp;<\/p>\n<h6 style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>\u062c\u062f\u0648\u0644-1: \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u0686\u06af\u0627\u0644\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 \u0641\u0634\u0631\u062f\u0647 \u0645\u062d\u0635\u0648\u0631 \u0648 \u0627\u0646\u062f\u0627\u0632\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0646\u0633\u0628\u062a \u0628\u0647 \u0637\u0648\u0644 \u0628\u0627\u0646\u062f \u0645\u0627\u062a\u0631\u06cc\u0633 (5 \u0645\u062c\u0647\u0648\u0644 \u0628\u0631\u0627\u06cc \u0647\u0631 \u06af\u0631\u0647).<\/strong><\/span><\/h6>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11500 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/table-1-Banded-Compact-Matrix-Density.png\" alt=\"\u0686\u06af\u0627\u0644\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 \u0641\u0634\u0631\u062f\u0647 \u0645\u062d\u0635\u0648\u0631\" width=\"548\" height=\"241\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/table-1-Banded-Compact-Matrix-Density.png 548w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/table-1-Banded-Compact-Matrix-Density-300x132.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/table-1-Banded-Compact-Matrix-Density-360x158.png 360w\" sizes=\"auto, (max-width: 548px) 100vw, 548px\" \/><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0637\u0648\u0631 \u06a9\u0644\u06cc \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u0633\u0647 \u062f\u0633\u062a\u0647 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc (\u0635\u0631\u06cc\u062d) (Point (Explicit) Iterative Method )\u060c \u062e\u0637\u06cc \u0648 \u0628\u0644\u0648\u06a9\u06cc (\u0636\u0645\u0646\u06cc) (Block (Implicit) Iterative Method ) \u062a\u0642\u0633\u06cc\u0645 \u0628\u0646\u062f\u06cc \u0646\u0645\u0648\u062f. \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0628\u0645\u0631\u0627\u062a\u0628 \u0633\u0627\u062f\u0647\u200c\u062a\u0631 \u0627\u0632 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u0648 \u0628\u0644\u0648\u06a9\u06cc \u0628\u0648\u062f\u0647 \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0627\u0632 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0633\u0627\u062f\u0647 \u0648 \u0645\u0634\u0627\u0628\u0647 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0647 \u062f\u0631 \u062a\u0645\u0627\u0645 \u0646\u0642\u0627\u0637 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u062f\u0647 \u0648 \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0645\u062c\u0647\u0648\u0644 \u0628\u0627 \u062c\u0627\u0631\u0648\u0628 \u06a9\u0631\u062f\u0646 \u0645\u062f\u0627\u0648\u0645 \u062f\u0627\u0645\u0646\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0648 \u062a\u06a9\u0631\u0627\u0631 \u062d\u0644 \u0628\u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f. \u062f\u0631 \u062d\u0627\u0644\u06cc\u06a9\u0647\u060c \u062f\u0631 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u0644\u0627\u0632\u0645 \u0627\u0633\u062a \u06cc\u06a9 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0631\u0627\u06cc \u06af\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0647\u0631 \u0645\u0633\u06cc\u0631 (i \u0648 j) \u062d\u0644 \u0634\u0648\u062f. <\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0628\u0644\u0648\u06a9\u06cc \u062f\u0627\u0645\u0646\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0628\u0647 \u0632\u06cc\u0631 \u062f\u0627\u0645\u0646\u0647\u200c\u0647\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc (\u0628\u0644\u0648\u06a9\u200c\u0647\u0627) \u062a\u0642\u0633\u06cc\u0645 \u0634\u062f\u0647 \u0648 \u062f\u0631 \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0627\u06cc\u0646 \u0632\u06cc\u0631 \u062f\u0627\u0645\u0646\u0647\u200c\u0647\u0627\u060c \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u0633\u062a\u0642\u06cc\u0645 (\u0645\u0627\u0646\u0646\u062f \u0631\u0648\u0634\u0647\u0627\u06cc \u062d\u0630\u0641\u06cc) \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0633\u0626\u0644\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u0645\u0627 \u0628\u0627\u06cc\u062f \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a \u06a9\u0647 \u06cc\u06a9 \u0631\u0648\u0646\u062f \u062a\u06a9\u0631\u0627\u0631 \u0628\u0631\u0627\u06cc \u062a\u0645\u0627\u0645 \u062f\u0627\u0645\u0646\u0647 \u0639\u062f\u062f\u06cc \u0648 \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u062d\u0627\u06a9\u0645 \u0627\u0633\u062a. \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0631\u0648\u0634\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0648 \u0628\u0644\u0648\u06a9\u06cc \u062a\u0648\u0636\u06cc\u062d \u062f\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h4 style=\"text-align: right;\"><strong><span style=\"color: #ff0000;\">\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc<\/span><\/strong><\/h4>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0645\u062a\u0639\u062f\u062f\u06cc \u0627\u0631\u0627\u0626\u0647 \u0648 \u062a\u0648\u0633\u0639\u0647 \u06cc\u0627\u0641\u062a\u0647 \u0627\u0633\u062a. \u0645\u0647\u0645\u062a\u0631\u06cc\u0646 \u0627\u06cc\u0646 \u0631\u0648\u0634\u200c\u0647\u0627 \u0634\u0627\u0645\u0644 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc (Point Jacobi Method)\u060c \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 (Gauss-Seidel) \u0648 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u062e\u0644\u0627\u0635\u06cc (Point Relaxation Methods (Successive\/Systematic (Over) Relaxation \u2013 SOR)) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f \u06a9\u0647 \u0630\u06cc\u0644\u0627\u064b \u0645\u0648\u0631\u062f \u0628\u0631\u0631\u0633\u06cc \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h5 style=\"text-align: right;\"><span style=\"color: #ff6600;\"><strong>\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc <span style=\"color: #ff6600;\">(Point Jacobi Method)<\/span><\/strong><\/span><\/h5>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc \u0627\u0628\u062a\u062f\u0627 \u062f\u0631 \u0647\u0631 \u0645\u0639\u0627\u062f\u0644\u0647\u060c \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u0642\u0637\u0631 \u0627\u0635\u0644\u06cc \u0628\u0631\u0627\u0633\u0627\u0633 \u0633\u0627\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u0628\u0635\u0648\u0631\u062a \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u06cc \u062d\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0633\u067e\u0633 \u0628\u0627 \u06cc\u06a9 \u062d\u062f\u0633 \u0627\u0648\u0644\u06cc\u0647\u060c \u0645\u0642\u062f\u0627\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0627 \u06a9\u0645\u062a\u0631 \u0634\u062f\u0646 \u0628\u0627\u0642\u06cc\u0645\u0627\u0646\u062f\u0647 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u06cc\u06a9 \u0645\u0642\u062f\u0627\u0631 \u0645\u0634\u062e\u0635\u060c \u0645\u0642\u0627\u062f\u06cc\u0631 \u0646\u0647\u0627\u06cc\u06cc \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u0628\u0639\u0646\u0648\u0627\u0646 \u067e\u0627\u0633\u062e \u0633\u06cc\u0633\u062a\u0645 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644 \u0628\u0647 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (13) \u062a\u0648\u062c\u0647 \u0634\u0648\u062f. \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0647\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 \u0645\u062a\u0646\u0627\u0638\u0631 \u0628\u0627 \u0645\u062c\u0647\u0648\u0644 \u0642\u0637\u0631 \u0627\u0635\u0644\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633\u060c \u0628\u0627\u0632\u0646\u0648\u06cc\u0633\u06cc \u0634\u062f\u0647 (\u0645\u0639\u0627\u062f\u0644\u0627\u062a 14) \u0648 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062d\u062f\u0633 \u0627\u0648\u0644\u06cc\u0647 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11491 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Jacobi-Method.png\" alt=\"\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc\" width=\"1121\" height=\"507\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Jacobi-Method.png 1121w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Jacobi-Method-300x136.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Jacobi-Method-1024x463.png 1024w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Jacobi-Method-768x347.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Jacobi-Method-360x163.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Jacobi-Method-600x271.png 600w\" sizes=\"auto, (max-width: 1121px) 100vw, 1121px\" \/><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0627 \u0628\u0627\u0632\u0646\u0648\u06cc\u0633\u06cc \u0631\u0648\u0627\u0628\u0637 (14)\u060c \u0641\u0631\u0645 \u06a9\u0644\u06cc \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc \u0628\u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0647 (15) \u0628\u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f. \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc \u0631\u0627 \u0628\u0647 \u0634\u06a9\u0644 \u0628\u0631\u062f\u0627\u0631\u06cc \u0646\u06cc\u0632 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f. \u0628\u0627 \u0641\u0631\u0636 \u0631\u0627\u0628\u0637\u0647 (16)\u060c \u0641\u0631\u0645 \u0628\u0631\u062f\u0627\u0631\u06cc \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0647 (17) \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (16) \u062a\u0645\u0627\u0645 \u0627\u0644\u0645\u0627\u0646\u0647\u0627\u06cc \u0642\u0637\u0631\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 A \u062f\u0631 \u0645\u0627\u062a\u0631\u06cc\u0633 D \u0648 \u062a\u0645\u0627\u0645 \u0627\u0644\u0645\u0627\u0646\u0647\u0627\u06cc \u063a\u06cc\u0631 \u0642\u0637\u0631\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 A\u00a0 \u062f\u0631 \u0645\u0627\u062a\u0631\u06cc\u0633 C \u0642\u0631\u0627\u0631 \u062f\u0627\u0631\u062f. \u06cc\u0627\u062f \u0622\u0648\u0631\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u0645\u0639\u06a9\u0648\u0633 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0642\u0637\u0631\u06cc D\u060c D<sup>-1<\/sup>\u060c \u0628\u0647 \u0633\u0627\u062f\u0647\u200c\u06af\u06cc \u0648 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0639\u06a9\u0648\u0633 \u06af\u0631\u0641\u062a\u0646 \u0627\u0632 \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u062a\u0631\u0645 \u0647\u0627\u06cc \u0642\u0637\u0631 \u0627\u0635\u0644\u06cc \u0628\u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f.<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11493 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Vectorized-Point-Jacobi-Method.png\" alt=\"\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc \u0628\u0631\u062f\u0627\u0631\u06cc \u0634\u062f\u0647\" width=\"1110\" height=\"466\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Vectorized-Point-Jacobi-Method.png 1110w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Vectorized-Point-Jacobi-Method-300x126.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Vectorized-Point-Jacobi-Method-1024x430.png 1024w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Vectorized-Point-Jacobi-Method-768x322.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Vectorized-Point-Jacobi-Method-360x151.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Vectorized-Point-Jacobi-Method-600x252.png 600w\" sizes=\"auto, (max-width: 1110px) 100vw, 1110px\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc \u0628\u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647\u200c\u0627\u06cc \u062f\u0631 \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 CFD \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f. \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0645\u0627\u0646\u0646\u062f \u06cc\u06a9 \u0631\u0648\u0634 \u0635\u0631\u06cc\u062d \u062f\u0631 \u062d\u0644 \u0645\u06cc\u062f\u0627\u0646 \u062c\u0631\u06cc\u0627\u0646 \u0645\u0637\u0631\u062d \u0627\u0633\u062a. \u0628\u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u06cc \u0627\u0632 \u06a9\u0627\u0631\u0628\u0631\u062f \u0631\u0648\u0634 \u0645\u0630\u06a9\u0648\u0631\u060c \u0686\u06af\u0648\u0646\u06af\u06cc \u06af\u0633\u0633\u062a\u0647\u200c\u0633\u0627\u0632\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u0627\u067e\u0644\u0627\u0633 (18) \u0631\u0627 \u0628\u0647 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f. <\/span><span style=\"color: #000000;\">\u0628\u0631\u0627\u06cc \u062d\u0644 \u0639\u062f\u062f\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 (18) \u0647\u0645\u0648\u0627\u0631\u0647 5 \u06af\u0631\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u062f\u0631\u06af\u06cc\u0631 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f (\u0634\u06a9\u0644 2). \u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc\u060c \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 <strong><em>\u03c6<sup>k+1<\/sup><sub>i,j<\/sub><\/em><\/strong> \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0633\u0627\u06cc\u0631 \u0646\u0642\u0627\u0637 \u062f\u0631\u06af\u06cc\u0631 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 \u062f\u0631 \u062a\u06a9\u0631\u0627\u0631 k\u060c \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f (\u0634\u06a9\u0644 2).<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11494 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-2.png\" alt=\"\u0622\u0631\u0627\u06cc\u0634 \u06af\u0631\u0647 \u0647\u0627 \u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc\" width=\"406\" height=\"335\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-2.png 406w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-2-300x248.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-2-327x270.png 327w\" sizes=\"auto, (max-width: 406px) 100vw, 406px\" \/><\/p>\n<h6 style=\"text-align: center;\"><strong><span style=\"color: #000000;\">\u0634\u06a9\u0644-2 \u0648\u0636\u0639\u06cc\u062a \u0645\u06a9\u0627\u0646\u06cc \u0648 \u062a\u06a9\u0631\u0627\u0631 \u067e\u0646\u062c \u06af\u0631\u0647 \u062f\u0631\u06af\u06cc\u0631 \u062f\u0631 \u062d\u0644 \u0639\u062f\u062f\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u0627\u067e\u0644\u0627\u0633 \u0628\u0647 \u0631\u0648\u0634 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc.<\/span><\/strong><\/h6>\n<p>&nbsp;<\/p>\n<h5 style=\"text-align: right;\"><span style=\"color: #ff6600;\"><strong>\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 (Gauss-Seidel)<\/strong><\/span><\/h5>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0631\u0648\u0634\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u0634\u0628\u0627\u0647\u062a \u0628\u0633\u06cc\u0627\u0631\u06cc \u0628\u0647 \u0631\u0648\u0634\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc \u062f\u0627\u0631\u062f \u0648 \u062f\u0631 \u062d\u0642\u06cc\u0642\u06cc\u062a \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u06af\u0641\u062a \u06a9\u0647 \u0641\u0631\u0645 \u0627\u0635\u0644\u0627\u062d \u0634\u062f\u0647 \u0631\u0648\u0634 \u0645\u0630\u06a9\u0648\u0631 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0639\u0644\u062a \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u0633\u0631\u06cc\u0639\u062a\u0631 \u0631\u0648\u0634 \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u0646\u0633\u0628\u062a \u0628\u0647 \u0631\u0648\u0634 \u0698\u0627\u06a9\u0648\u0628\u06cc (\u062a\u0642\u0631\u06cc\u0628\u0627\u064b \u062f\u0648 \u0628\u0631\u0627\u0628\u0631 \u0633\u0631\u06cc\u0639\u062a\u0631) \u0627\u06cc\u0646\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644\u060c \u062f\u0631 \u062a\u06a9\u0631\u0627\u0631 \u00a0\u0627\u0632 \u0646\u0642\u0627\u0637\u06cc \u06a9\u0647 \u0642\u0628\u0644\u0627\u064b \u062f\u0631 \u0647\u0645\u06cc\u0646 \u062a\u06a9\u0631\u0627\u0631 \u062a\u0635\u062d\u06cc\u062d \u0634\u062f\u0647 \u0646\u06cc\u0632 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062d\u0644 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (13) \u0628\u0627 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (19) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0628\u0627 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0631\u0627\u0628\u0637\u0647 (19) \u0628\u0627 \u0645\u0639\u0627\u062f\u0644\u0647 (14) \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0645\u0634\u0627\u0647\u062f\u0647 \u0646\u0645\u0648\u062f \u06a9\u0647 \u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644\u060c \u0628\u0645\u0631\u0627\u062a\u0628 \u0627\u0632 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u062c\u062f\u06cc\u062f\u062a\u0631 \u0628\u06cc\u0634\u062a\u0631\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a \u0648 \u0627\u06cc\u0646 \u0645\u0647\u0645 \u0628\u0627\u0639\u062b \u0634\u062f\u0647 \u06a9\u0647 \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u0628\u0637\u0648\u0631 \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647\u06cc \u0627\u0632 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647 \u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc \u0633\u0631\u06cc\u0639\u062a\u0631 \u0628\u0627\u0634\u062f.<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647 \u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u0631\u0627 \u0628\u0647 \u0634\u06a9\u0644 \u0628\u0631\u062f\u0627\u0631\u06cc \u0646\u06cc\u0632 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f. \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0631\u0627\u0628\u0637\u0647 (20)\u060c \u0641\u0631\u0645 \u0628\u0631\u062f\u0627\u0631\u06cc \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0647 (21) \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0631\u0627\u0628\u0637\u0647 (20) \u062a\u0645\u0627\u0645 \u0627\u0644\u0645\u0627\u0646\u0647\u0627\u06cc \u0642\u0637\u0631\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 A\u00a0 \u062f\u0631 \u0645\u0627\u062a\u0631\u06cc\u0633 D\u060c \u062a\u0645\u0627\u0645 \u0627\u0644\u0645\u0627\u0646\u0647\u0627\u06cc \u063a\u06cc\u0631 \u0642\u0637\u0631\u06cc \u0628\u0627\u0644\u0627\u06cc \u0642\u0637\u0631 \u0627\u0635\u0644\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 A\u00a0 \u062f\u0631 \u0645\u0627\u062a\u0631\u06cc\u0633 L \u0648 \u062a\u0645\u0627\u0645 \u0627\u0644\u0645\u0627\u0646\u0647\u0627\u06cc \u063a\u06cc\u0631 \u0642\u0637\u0631\u06cc \u0628\u0627\u0644\u0627\u06cc \u0642\u0637\u0631 \u0627\u0635\u0644\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 A\u00a0 \u062f\u0631 \u0645\u0627\u062a\u0631\u06cc\u0633 U \u0642\u0631\u0627\u0631 \u062f\u0627\u0631\u062f. \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0641\u0631\u0645\u0648\u0644\u0627\u0633\u06cc\u0648\u0646 \u06a9\u0644\u06cc \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u0628\u0635\u0648\u0631\u062a \u0631\u0627\u0628\u0637\u0647 (22) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11496 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Gauss-Seidel-Method.png\" alt=\"\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644\" width=\"1110\" height=\"810\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Gauss-Seidel-Method.png 1110w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Gauss-Seidel-Method-300x219.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Gauss-Seidel-Method-1024x747.png 1024w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Gauss-Seidel-Method-768x560.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Gauss-Seidel-Method-360x263.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Gauss-Seidel-Method-600x438.png 600w\" sizes=\"auto, (max-width: 1110px) 100vw, 1110px\" \/><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0647\u0645\u0627\u0646\u0646\u062f \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc\u060c \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u0646\u06cc\u0632 \u062f\u0631 \u0627\u0628\u0639\u0627\u062f \u0648\u0633\u06cc\u0639\u06cc \u062f\u0631 \u0645\u0633\u0627\u0626\u0644 CFD \u06a9\u0627\u0631\u0628\u0631\u062f \u062f\u0627\u0631\u062f. \u062f\u0631 \u0631\u0627\u0628\u0637\u0647 (23) \u0686\u06af\u0648\u0646\u06af\u06cc \u06af\u0633\u0633\u062a\u0647\u200c\u0633\u0627\u0632\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u0627\u067e\u0644\u0627\u0633 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0628\u0647 \u062a\u0641\u0627\u0648\u062a \u0641\u0631\u0645\u0648\u0644\u0627\u0633\u06cc\u0648\u0646 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0627 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc (\u0645\u0639\u0627\u062f\u0644\u0647 18) \u062a\u0648\u062c\u0647 \u0634\u0648\u062f. <\/span><span style=\"color: #000000;\">\u0628\u0631\u0627\u06cc \u062d\u0644 \u0639\u062f\u062f\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0641\u0648\u0642 \u0647\u0645\u0648\u0627\u0631\u0647 5 \u06af\u0631\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u062f\u0631\u06af\u06cc\u0631 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644\u060c \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 <strong><em>\u03c6<sup>k+1<\/sup><sub>i,j<\/sub><\/em><\/strong> \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0633\u0627\u06cc\u0631 \u0646\u0642\u0627\u0637 \u062f\u0631\u06af\u06cc\u0631 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 \u062f\u0631 \u062a\u06a9\u0631\u0627\u0631 k+1 \u0648 k\u060c \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f (\u0634\u06a9\u0644 3).<\/span><\/p>\n<h6><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11497 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-3-Point-Gauss-Seidel-Method.png\" alt=\"\u0648\u0636\u0639\u06cc\u062a \u06af\u0631\u0647\u200c\u0647\u0627 \u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647 \u0698\u0627\u06a9\u0648\u0628\u06cc\" width=\"379\" height=\"325\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-3-Point-Gauss-Seidel-Method.png 379w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-3-Point-Gauss-Seidel-Method-300x257.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-3-Point-Gauss-Seidel-Method-315x270.png 315w\" sizes=\"auto, (max-width: 379px) 100vw, 379px\" \/><\/h6>\n<h6 style=\"text-align: center;\"><strong><span style=\"color: #000000;\">\u0634\u06a9\u0644-3: \u0648\u0636\u0639\u06cc\u062a \u0645\u06a9\u0627\u0646\u06cc \u0648 \u062a\u06a9\u0631\u0627\u0631 \u067e\u0646\u062c \u06af\u0631\u0647 \u062f\u0631\u06af\u06cc\u0631 \u062f\u0631 \u062d\u0644 \u0639\u062f\u062f\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u0627\u067e\u0644\u0627\u0633 \u0628\u0647 \u0631\u0648\u0634 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644.<\/span><\/strong><\/h6>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0644\u0627\u0632\u0645 \u0628\u0647 \u062a\u0648\u0636\u06cc\u062d \u0627\u0633\u062a \u06a9\u0647 \u0634\u0631\u0637 \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u0648 \u067e\u0627\u06cc\u062f\u0627\u0631\u06cc \u062f\u0631 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc \u0648 \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u06cc\u06a9\u0633\u0627\u0646 \u0627\u0633\u062a. \u0634\u0631\u0637 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u067e\u0627\u06cc\u062f\u0631\u0627\u06cc \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u0630\u06a9\u0648\u0631 \u0627\u06cc\u0646\u0633\u062a \u06a9\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0636\u0631\u0627\u0626\u0628 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u063a\u0627\u0644\u0628 \u0642\u0637\u0631\u06cc \u0628\u0627\u0634\u062f. \u0628\u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631\u060c \u062f\u0631 \u062a\u0645\u0627\u0645\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627\u06cc \u0636\u0631\u0627\u0626\u0628 \u0644\u0627\u0632\u0645\u0633\u062a \u06a9\u0647 \u0642\u062f\u0631 \u0645\u0637\u0644\u0642 \u0645\u0642\u062f\u0627\u0631 \u0645\u062a\u063a\u06cc\u0631 \u0642\u0637\u0631 \u0627\u0635\u0644\u06cc \u0627\u0632 \u0642\u062f\u0631 \u0645\u0637\u0644\u0642 \u0645\u062c\u0645\u0648\u0639 \u0633\u0627\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u062f\u0631 \u0622\u0646 \u0631\u062f\u06cc\u0641 \u0628\u0632\u0631\u06af\u062a\u0631 \u0648 \u06cc\u0627 \u0627\u06cc\u0646\u06a9\u0647 \u0645\u0633\u0627\u0648\u06cc \u0628\u0627\u0634\u062f (\u0631\u0627\u0628\u0637\u0647 24). \u062f\u0631 \u063a\u06cc\u0631 \u0627\u06cc\u0646\u0635\u0648\u0631\u062a\u060c \u0628\u0627\u06cc\u062f \u0628\u0627 \u062c\u0627\u0628\u062c\u0627\u06cc\u06cc \u0631\u062f\u06cc\u0641\u200c\u0647\u0627 \u0627\u06cc\u0646 \u0634\u0631\u0637 \u0631\u0627 \u0627\u0631\u0636\u0627\u0621 \u0646\u0645\u0648\u062f.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h5 style=\"text-align: right;\"><span style=\"color: #ff6600;\"><strong>\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u062e\u0644\u0627\u0635\u06cc<\/strong><\/span><\/h5>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u062e\u0644\u0627\u0635\u06cc\u060c \u062a\u0635\u062d\u06cc\u062d\u0627\u062a \u0627\u0646\u062c\u0627\u0645 \u0634\u062f\u0647 \u0631\u0648\u06cc \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647 \u062a\u0648\u0633\u0637 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u062f\u0631 \u062a\u06a9\u0631\u0627\u0631 k+1\u060c \u0631\u0627 \u0628\u0647\u0628\u0648\u062f \u0645\u06cc\u200c\u0628\u062e\u0634\u062f. \u0627\u06cc\u0646 \u0645\u0647\u0645 \u0628\u0627 \u0645\u062a\u0648\u0633\u0637 \u06af\u06cc\u0631\u06cc \u0648\u0632\u0646\u06cc \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u062f\u0631 \u062a\u06a9\u0631\u0627\u0631\u0647\u0627\u06cc k \u0648 k+1 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f (\u0645\u0639\u0627\u062f\u0644\u0647 25) \u0648 \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0645\u0642\u062f\u0627\u0631 \u062a\u0635\u062d\u06cc\u062d \u0634\u062f\u0647 \u0645\u062a\u063a\u06cc\u0631 \u062f\u0631 \u0627\u06cc\u0646 \u062a\u06a9\u0631\u0627\u0631\u060c \u0628\u0631\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0628\u0639\u062f\u06cc \u062f\u0631 \u0631\u0648\u0634 \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11502 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Relaxation-Methods.png\" alt=\"\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647 \u062e\u0644\u0627\u0635\u06cc\" width=\"1089\" height=\"106\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Relaxation-Methods.png 1089w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Relaxation-Methods-300x29.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Relaxation-Methods-1024x100.png 1024w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Relaxation-Methods-768x75.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Relaxation-Methods-360x35.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Point-Relaxation-Methods-600x58.png 600w\" sizes=\"auto, (max-width: 1089px) 100vw, 1089px\" \/><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u06a9\u0647 \u062f\u0631 \u0622\u0646\u060c<strong> <em>x<sub> i<\/sub><sup> [k+1]<\/sup><\/em> <\/strong>\u0645\u0642\u062f\u0627\u0631 \u0628\u062f\u0633\u062a \u0622\u0645\u062f\u0647 \u0627\u0632 \u062a\u06a9\u0631\u0627\u0631 k+1 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634 \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u0648 <em>\u03bb<\/em> \u0636\u0631\u06cc\u0628 \u062e\u0644\u0627\u0635\u06cc \u0645\u06cc\u200c\u0628\u0627\u0634\u062f \u06a9\u0647 \u0628\u0627\u06cc\u062f \u0645\u0634\u062e\u0635 \u0634\u0648\u062f. \u0628\u0633\u062a\u0647 \u0628\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062e\u062a\u0644\u0641 <em>\u03bb<\/em>\u060c \u0645\u0627\u0647\u06cc\u062a \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0628\u0635\u0648\u0631\u062a\u200c\u0647\u0627\u06cc \u0632\u06cc\u0631 \u062a\u063a\u06cc\u06cc\u0631 \u0645\u06cc\u200c\u06a9\u0646\u062f:<\/span><\/p>\n<ul>\n<li style=\"text-align: right;\"><strong><span style=\"color: #000000;\">\u0627\u06af\u0631 \u03bb=0 \u0628\u0627\u0634\u062f. \u0631\u0648\u0634 \u0645\u0630\u06a9\u0648\u0631 \u0628\u0647 \u06cc\u06a9 \u0631\u0648\u0634 \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/strong><\/li>\n<li style=\"text-align: right;\"><strong><span style=\"color: #000000;\">\u0627\u06af\u0631 0&lt;\u03bb&lt;1 \u0628\u0627\u0634\u062f. \u0627\u06cc\u0646 \u0631\u0648\u0634 \u06cc\u06a9 \u0631\u0648\u0634 \u0632\u06cc\u0631 \u062e\u0644\u0627\u0635\u06cc (Under Relaxation) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u062d\u0627\u0644\u062a \u0645\u0642\u062f\u0627\u0631 \u062a\u0635\u062d\u06cc\u062d \u0634\u062f\u0647 \u0646\u0647\u0627\u06cc\u06cc \u0647\u0631 \u0645\u062a\u063a\u06cc\u0631 \u0628\u0627 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u06af\u06cc\u0631\u06cc \u0648\u0632\u0646\u06cc \u0622\u0646 \u0645\u062a\u063a\u06cc\u0631 \u062f\u0631 \u062a\u06a9\u0631\u0627\u0631 \u0641\u0639\u0644\u06cc \u0648 \u062a\u06a9\u0631\u0627\u0631 \u0642\u0628\u0644\u06cc \u0628\u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f. \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0631\u0627\u06cc \u0647\u0645\u06af\u0631\u0627 \u06a9\u0631\u062f\u0646 \u06cc\u06a9 \u0641\u0631\u0622\u06cc\u0646\u062f \u063a\u06cc\u0631 \u0647\u0645\u06af\u0631\u0627 \u0634\u0648\u0646\u062f\u0647\u060c \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0647\u0645\u0686\u0646\u06cc\u0646\u060c \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0627\u0639\u062b \u0627\u0641\u0632\u0627\u06cc\u0634 \u0633\u0631\u0639\u062a \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u062f\u0631 \u0645\u0633\u0627\u0626\u0644\u06cc \u06a9\u0647 \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u0622\u0646\u0647\u0627 \u062f\u0627\u0631\u0627\u06cc \u0646\u0648\u0633\u0627\u0646 \u062d\u0648\u0644 \u06cc\u06a9 \u062d\u0644 \u0647\u0645\u06af\u0631\u0627 \u0634\u062f\u0647 \u0627\u0633\u062a\u060c \u0646\u06cc\u0632 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/strong><\/li>\n<li style=\"text-align: right;\"><strong><span style=\"color: #000000;\">\u0627\u06af\u0631 1&lt;\u03bb&lt;2 \u0628\u0627\u0634\u062f. \u0627\u06cc\u0646 \u0631\u0648\u0634 \u06cc\u06a9 \u0631\u0648\u0634 \u0641\u0648\u0642 \u062e\u0644\u0627\u0635\u06cc (Over Relaxation) \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u062d\u0627\u0644\u062a \u0645\u0642\u062f\u0627\u0631 \u062a\u0635\u062d\u06cc\u062d \u0634\u062f\u0647 \u0646\u0647\u0627\u06cc\u06cc \u0647\u0631 \u0645\u062a\u063a\u06cc\u0631 \u0628\u0627 \u0628\u0631\u0648\u0646\u06cc\u0627\u0628\u06cc \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634 \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u0628\u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f. \u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0646\u06cc\u0632 \u0628\u0631\u0627\u06cc \u0627\u0641\u0632\u0627\u06cc\u0634 \u0646\u0631\u062e \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u0645\u0627 \u0628\u0627\u06cc\u062f \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0645\u0642\u0627\u062f\u06cc\u0631 2&lt;\u03bb \u0641\u0631\u0622\u06cc\u0646\u062f \u062d\u0644 \u062f\u0686\u0627\u0631 \u0648\u0627\u06af\u0631\u0627\u06cc\u06cc \u062e\u0648\u0627\u0647\u062f \u0634\u062f.<\/span><\/strong><\/li>\n<li style=\"text-align: right;\"><strong><span style=\"color: #000000;\">\u0627\u0646\u062a\u062e\u0627\u0628 \u0645\u0642\u062f\u0627\u0631 \u0628\u0647\u06cc\u0646\u0647 \u03bb \u06a9\u0627\u0631 \u0622\u0633\u0627\u0646\u06cc \u0646\u06cc\u0633\u062a. \u0686\u0631\u0627\u06a9\u0647 \u0645\u0642\u062f\u0627\u0631 \u0628\u0647\u06cc\u0646\u0647 \u0627\u06cc\u0646 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u0628\u0647 \u0645\u0634\u062e\u0635\u0627\u062a \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0633\u062a\u06af\u06cc \u062f\u0627\u0634\u062a\u0647 \u0648 \u0628\u0631\u0627\u06cc \u0627\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641 \u0645\u0633\u0627\u0626\u0644 \u062f\u0627\u0631\u0627\u06cc \u062f\u0627\u0645\u0646\u0647 \u0628\u0647\u06cc\u0646\u0647 \u0645\u062a\u0641\u0627\u0648\u062a\u06cc \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u062a\u0639\u06cc\u06cc\u0646 \u0645\u0642\u062f\u0627\u0631 \u0628\u0647\u06cc\u0646\u0647 \u03bb \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634\u0647\u0627\u06cc \u0633\u0639\u06cc \u0648 \u062e\u0637\u0627 \u0627\u0645\u06a9\u0627\u0646\u200c\u067e\u0630\u06cc\u0631 \u0627\u0633\u062a. \u0647\u0645\u0686\u0646\u06cc\u0646\u060c \u062f\u0631 \u0631\u0648\u0634\u0647\u0627 \u0648 \u062d\u0644\u06af\u0631\u0647\u0627\u06cc \u06a9\u0648\u067e\u0644 \u0634\u062f\u0647 \u06a9\u0647 \u0633\u06cc\u0633\u062a\u0645 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0632 \u0645\u0634\u062e\u0635\u0647\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0628\u0631\u062e\u0648\u0631\u062f\u0627\u0631 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f\u060c \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062e\u062a\u0644\u0641\u06cc \u0628\u0631\u0627\u06cc \u03bb \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f.<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647\u200c\u0627\u06cc \u0627\u0632 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631\u06cc \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u062e\u0644\u0627\u0635\u06cc \u0646\u06cc\u0632 \u062f\u0631 \u0645\u0633\u0627\u0626\u0644 CFD \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0645\u0639\u0627\u062f\u0644\u0647 (\u0627\u0644\u0641-26) \u0628\u06cc\u0627\u0646\u06af\u0631 \u0686\u06af\u0648\u0646\u06af\u06cc \u06af\u0633\u0633\u062a\u0647\u200c\u0633\u0627\u0632\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u0627\u067e\u0644\u0627\u0633 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0631\u0648\u0634 \u0645\u0630\u06a9\u0648\u0631 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0628\u0631\u0627\u06cc \u062d\u0644 \u0639\u062f\u062f\u06cc \u0645\u0639\u0627\u062f\u0644\u0647\u00a0 \u06af\u0633\u0633\u062a\u0647 \u0634\u062f\u0647\u060c \u0647\u0645\u0648\u0627\u0631\u0647 5 \u06af\u0631\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u062f\u0631\u06af\u06cc\u0631 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f (\u0634\u06a9\u0644-4).<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11503 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-4-Point-Relaxation-Methods.png\" alt=\"\u0648\u0636\u0639\u06cc\u062a \u06af\u0631\u0647 \u0647\u0627 \u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647 \u062e\u0644\u0627\u0635\u06cc\" width=\"1092\" height=\"521\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-4-Point-Relaxation-Methods.png 1092w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-4-Point-Relaxation-Methods-300x143.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-4-Point-Relaxation-Methods-1024x489.png 1024w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-4-Point-Relaxation-Methods-768x366.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-4-Point-Relaxation-Methods-360x172.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/fig-4-Point-Relaxation-Methods-600x286.png 600w\" sizes=\"auto, (max-width: 1092px) 100vw, 1092px\" \/><\/p>\n<h6 style=\"text-align: center;\"><strong>\u0634\u06a9\u0644-4: \u0648\u0636\u0639\u06cc\u062a \u0645\u06a9\u0627\u0646\u06cc \u0648 \u062a\u06a9\u0631\u0627\u0631 \u067e\u0646\u062c \u06af\u0631\u0647 \u062f\u0631\u06af\u06cc\u0631 \u062f\u0631 \u062d\u0644 \u0639\u062f\u062f\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u0627\u067e\u0644\u0627\u0633 \u0628\u0647 \u0631\u0648\u0634 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u062e\u0644\u0627\u0635\u06cc.<\/strong><\/h6>\n<p>&nbsp;<\/p>\n<h4 style=\"text-align: right;\"><span style=\"color: #ff0000;\"><strong>\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc<\/strong><\/span><\/h4>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0633\u062a\u0647 \u0628\u0647 \u0631\u0648\u0634 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647\u060c \u062f\u0631 \u0631\u0648\u0634\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u0628\u0631 \u062e\u0644\u0627\u0641 \u0631\u0648\u0634 \u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc ( \u06a9\u0647 \u0647\u0645\u0648\u0627\u0631\u0647 \u062f\u0631 \u0647\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 \u062a\u0646\u0647\u0627 \u06cc\u06a9 \u0645\u062c\u0647\u0648\u0644 \u062f\u0631 \u0622\u062e\u0631\u06cc\u0646 \u062a\u06a9\u0631\u0627\u0631 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f. \u0628\u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 \u0645\u062a\u063a\u06cc\u0631 <strong><em>x<sup>k+1<\/sup><sub>i,j<\/sub><\/em><\/strong> \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (15)) \u062f\u0648 \u06cc\u0627 \u0633\u0647 \u0645\u062a\u063a\u06cc\u0631 \u062d\u0627\u0636\u0631 \u0627\u0633\u062a. \u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631\u060c \u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u062d\u0631\u06a9\u062a \u0646\u0642\u0637\u0647 \u0628\u0647 \u0646\u0642\u0637\u0647 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f \u062f\u0631 \u062d\u0627\u0644\u06cc\u06a9\u0647 \u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0631\u0648\u06cc \u06cc\u06a9 \u062e\u0637 \u062d\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f (\u0634\u06a9\u0644 5). \u0631\u0648\u0634\u200c\u0647\u0627\u06cc\u06cc \u0646\u0638\u06cc\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc\u060c \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u0648 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u062e\u0644\u0627\u0635\u06cc \u0627\u0632 \u0645\u0647\u0645\u062a\u0631\u06cc\u0646 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u0628\u0634\u0645\u0627\u0631 \u0645\u06cc\u200c\u0631\u0648\u062f \u06a9\u0647 \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0628\u0647 \u062c\u0632\u0626\u06cc\u0627\u062a \u0622\u0646\u0647\u0627 \u067e\u0631\u062f\u0627\u062e\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n<p style=\"text-align: right;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11506 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Iterative-Method-Nodes-Layout.png\" alt=\"\u0648\u0636\u0639\u06cc\u062a \u0646\u0642\u0627\u0637 \u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc\" width=\"767\" height=\"287\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Iterative-Method-Nodes-Layout.png 767w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Iterative-Method-Nodes-Layout-300x112.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Iterative-Method-Nodes-Layout-360x135.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Iterative-Method-Nodes-Layout-600x225.png 600w\" sizes=\"auto, (max-width: 767px) 100vw, 767px\" \/><\/p>\n<h6 style=\"text-align: center;\"><strong><span style=\"color: #000000;\">\u0634\u06a9\u0644-5: \u0686\u06af\u0648\u0646\u06af\u06cc \u062f\u0631\u06af\u06cc\u0631 \u0628\u0648\u062f\u0646 \u06af\u0631\u0647\u200c\u0647\u0627 \u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc: \u0627\u0644\u0641- \u062f\u0631 \u062c\u0647\u062a i\u061b \u0628- \u062f\u0631 \u062c\u0647\u062a j\u061b<\/span><\/strong><\/h6>\n<h6 style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>\u06af\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0631\u0628\u0639: \u0645\u062c\u0647\u0648\u0644\u0627\u062a \u062f\u0631 \u062a\u06a9\u0631\u0627\u0631 k+1\u060c \u06af\u0631\u0647\u200c\u0647\u0627\u06cc \u062f\u0627\u06cc\u0631\u0647: \u0645\u062a\u063a\u06cc\u0631 \u0645\u0639\u0644\u0648\u0645 \u062f\u0631 \u062a\u06a9\u0631\u0627\u0631 k+1 \u0648 \u06af\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u062b\u0644\u062b: \u0645\u062a\u063a\u06cc\u0631 \u0645\u0639\u0644\u0648\u0645 \u062f\u0631 \u062a\u06a9\u0631\u0627\u0631 k \u0645\u06cc\u200c\u0628\u0627\u0634\u062f.<\/strong><\/span><\/h6>\n<h5><\/h5>\n<h5 style=\"text-align: right;\"><span style=\"color: #ff6600;\"><strong>\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc(Line Jacobi Method)<\/strong><\/span><\/h5>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc\u060c \u06cc\u06a9 \u0631\u0648\u0634 \u062d\u0644 \u0634\u0628\u06cc\u0647 \u0631\u0648\u0634 \u0636\u0645\u0646\u06cc \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u06cc\u062f\u0627\u0646 \u0639\u062f\u062f\u06cc \u0628\u0634\u0645\u0627\u0631 \u0645\u06cc\u200c\u0631\u0648\u062f \u06a9\u0647 \u062f\u0631 \u0647\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 \u0628\u06cc\u0634 \u0627\u0632 \u06cc\u06a9 \u0645\u062c\u0647\u0648\u0644 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f. \u0628\u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u06cc \u0627\u0632 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631\u060c \u0686\u06af\u0648\u0646\u06af\u06cc \u06af\u0633\u0633\u062a\u0647\u200c\u0633\u0627\u0632\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u0627\u067e\u0644\u0627\u0633 \u0628\u0627 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0631\u0627 (\u0631\u0648\u0627\u0628\u0637 27 \u0648 28) \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f. \u062f\u0631 \u0631\u0627\u0628\u0637\u0647 (27) \u06a9\u0627\u0631\u0628\u0631\u062f \u0627\u06cc\u0646 \u0631\u0648\u0634 \u062f\u0631 \u062c\u0647\u062a i (\u0634\u06a9\u0644 6-\u0627\u0644\u0641) \u0648 \u062f\u0631 \u0631\u0627\u0628\u0637\u0647 (28) \u06a9\u0627\u0631\u0628\u0631\u062f \u0622\u0646 \u062f\u0631 \u062c\u0647\u062a j (\u0634\u06a9\u0644 6-\u0628) \u062f\u0631 \u06af\u0633\u0633\u062a\u0647\u200c\u0633\u0627\u0632\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u0627\u067e\u0644\u0627\u0633 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0647\u0645\u0686\u0646\u06cc\u0646 \u0646\u0642\u0634 \u06af\u0631\u0647\u200c\u0647\u0627\u06cc \u062f\u0631\u06af\u06cc\u0631 \u0648 \u0645\u0631\u062d\u0644\u0647 \u062a\u06a9\u0631\u0627\u0631 \u0622\u0646\u0647\u0627 \u062f\u0631 \u0634\u06a9\u0644 (6) \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11508 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Jacobi-Method.png\" alt=\"\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc\" width=\"1062\" height=\"526\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Jacobi-Method.png 1062w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Jacobi-Method-300x149.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Jacobi-Method-1024x507.png 1024w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Jacobi-Method-768x380.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Jacobi-Method-360x178.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Jacobi-Method-600x297.png 600w\" sizes=\"auto, (max-width: 1062px) 100vw, 1062px\" \/><\/p>\n<h6 style=\"text-align: center;\"><strong><span style=\"color: #000000;\">\u0634\u06a9\u0644-6: \u0648\u0636\u0639\u06cc\u062a \u0645\u06a9\u0627\u0646\u06cc \u0648 \u062a\u06a9\u0631\u0627\u0631 \u067e\u0646\u062c \u06af\u0631\u0647 \u062f\u0631\u06af\u06cc\u0631 \u062f\u0631 \u062d\u0644 \u0639\u062f\u062f\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u0627\u067e\u0644\u0627\u0633 \u0628\u0647 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc. <\/span><span style=\"color: #000000;\">\u0627\u0644\u0641- \u062f\u0631 \u062c\u0647\u062a i\u060c \u0628- \u062f\u0631 \u062c\u0647\u062a j.<\/span><\/strong><\/h6>\n<ul style=\"text-align: right;\">\n<li><\/li>\n<\/ul>\n<h5 style=\"text-align: right;\"><span style=\"color: #ff6600;\"><strong>\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 <\/strong><\/span><span style=\"color: #ff6600;\"><strong>(Line Gauss-Seidel)<\/strong><\/span><\/h5>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u0641\u0631\u0645 \u0628\u0647\u06cc\u0646\u0647 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u0698\u0627\u06a9\u0648\u0628\u06cc \u0645\u06cc\u200c\u0628\u0627\u0634\u062f \u06a9\u0647 \u0647\u0645\u0627\u0646\u0646\u062f \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc\u060c \u0627\u0632 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u062c\u062f\u06cc\u062f\u062a\u0631\u06cc \u0628\u0647\u0631\u0647 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f. \u0686\u06af\u0648\u0646\u06af\u06cc \u06af\u0633\u0633\u062a\u0647 \u0633\u0627\u0632\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u0627\u067e\u0644\u0627\u0633 \u0628\u0627 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (29) \u0628\u06cc\u0627\u0646 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0647\u0645\u0686\u0646\u06cc\u0646\u060c \u0646\u0642\u0634 \u06af\u0631\u0647\u200c\u0647\u0627\u06cc \u062f\u0631\u06af\u06cc\u0631 \u0648 \u0645\u0631\u062d\u0644\u0647 \u062a\u06a9\u0631\u0627\u0631 \u0622\u0646\u0647\u0627 \u062f\u0631 \u0634\u06a9\u0644 (7) \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11509 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Gauss-sidel-Method.png\" alt=\"\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644\" width=\"1035\" height=\"550\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Gauss-sidel-Method.png 1035w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Gauss-sidel-Method-300x159.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Gauss-sidel-Method-1024x544.png 1024w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Gauss-sidel-Method-768x408.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Gauss-sidel-Method-360x191.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-Gauss-sidel-Method-600x319.png 600w\" sizes=\"auto, (max-width: 1035px) 100vw, 1035px\" \/><\/p>\n<h6 style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>\u0634\u06a9\u0644-7: \u0648\u0636\u0639\u06cc\u062a \u0645\u06a9\u0627\u0646\u06cc \u0648 \u062a\u06a9\u0631\u0627\u0631 \u067e\u0646\u062c \u06af\u0631\u0647 \u062f\u0631\u06af\u06cc\u0631 \u062f\u0631 \u062d\u0644 \u0639\u062f\u062f\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u0627\u067e\u0644\u0627\u0633 \u0628\u0647 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644. \u0627\u0644\u0641- \u062f\u0631 \u062c\u0647\u062a i\u060c \u0628- \u062f\u0631 \u062c\u0647\u062a j.<\/strong><\/span><\/h6>\n<p>&nbsp;<\/p>\n<h5 style=\"text-align: right;\"><span style=\"color: #ff6600;\"><strong>\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u062e\u0644\u0627\u0635\u06cc<\/strong><\/span><\/h5>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0647\u0645\u0627\u0646\u0646\u062f \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u062e\u0644\u0627\u0635\u06cc\u060c \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u062e\u0644\u0627\u0635\u06cc \u062a\u0635\u062d\u06cc\u062d\u0627\u062a \u0627\u0646\u062c\u0627\u0645 \u0634\u062f\u0647 \u0631\u0648\u06cc \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647 \u062a\u0648\u0633\u0637 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u062f\u0631 \u062a\u06a9\u0631\u0627\u0631 k+1\u060c \u0631\u0627 \u0628\u0647\u0628\u0648\u062f \u0645\u06cc\u200c\u0628\u062e\u0634\u062f. \u0627\u06cc\u0646 \u0645\u0647\u0645 \u0628\u0627 \u0645\u062a\u0648\u0633\u0637 \u06af\u06cc\u0631\u06cc \u0648\u0632\u0646\u06cc \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u062f\u0631 \u062a\u06a9\u0631\u0627\u0631\u0647\u0627\u06cc k \u0648 k+1 \u0627\u0646\u062c\u0627\u0645 \u0634\u062f\u0647 \u0648 \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0645\u0642\u062f\u0627\u0631 \u062a\u0635\u062d\u06cc\u062d \u0634\u062f\u0647 \u0645\u062a\u063a\u06cc\u0631 \u062f\u0631 \u0627\u06cc\u0646 \u062a\u06a9\u0631\u0627\u0631\u060c \u0628\u0631\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0628\u0639\u062f\u06cc \u062f\u0631 \u0631\u0648\u0634 \u06af\u0648\u0633-\u0633\u0627\u06cc\u062f\u0644 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f. \u0628\u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0628\u0647 \u0686\u06af\u0648\u0646\u06af\u06cc \u06af\u0633\u0633\u062a\u0647 \u0633\u0627\u0632\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u0627\u067e\u0644\u0627\u0633 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u062a\u0648\u062c\u0647 \u0634\u0648\u062f (\u0645\u0639\u0627\u062f\u0644\u0647 30). \u0647\u0645\u0686\u0646\u06cc\u0646\u060c \u0646\u0642\u0634 \u06af\u0631\u0647\u200c\u0647\u0627\u06cc \u062f\u0631\u06af\u06cc\u0631 \u0648 \u0645\u0631\u062d\u0644\u0647 \u062a\u06a9\u0631\u0627\u0631 \u0622\u0646\u0647\u0627 \u062f\u0631 \u0634\u06a9\u0644 (8) \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11510 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-relaxation-Method.png\" alt=\"\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u062e\u0644\u0627\u0635\u06cc\" width=\"1019\" height=\"527\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-relaxation-Method.png 1019w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-relaxation-Method-300x155.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-relaxation-Method-768x397.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-relaxation-Method-360x186.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Line-relaxation-Method-600x310.png 600w\" sizes=\"auto, (max-width: 1019px) 100vw, 1019px\" \/><\/p>\n<h6 style=\"text-align: center;\"><strong><span style=\"color: #000000;\">\u0634\u06a9\u0644-8: \u0648\u0636\u0639\u06cc\u062a \u0645\u06a9\u0627\u0646\u06cc \u0648 \u062a\u06a9\u0631\u0627\u0631 \u067e\u0646\u062c \u06af\u0631\u0647 \u062f\u0631\u06af\u06cc\u0631 \u062f\u0631 \u062d\u0644 \u0639\u062f\u062f\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u0627\u067e\u0644\u0627\u0633 \u0628\u0647 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u062e\u0644\u0627\u0635\u06cc. <\/span><span style=\"color: #000000;\">\u0627\u0644\u0641- \u062f\u0631 \u062c\u0647\u062a i\u060c \u0628- \u062f\u0631 \u062c\u0647\u062a j.<\/span><\/strong><\/h6>\n<p>&nbsp;<\/p>\n<h4 style=\"text-align: right;\"><span style=\"color: #ff0000;\"><strong>\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0628\u0644\u0648\u06a9\u06cc<\/strong><\/span><\/h4>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0628\u0644\u0648\u06a9\u06cc \u0641\u0636\u0627\u06cc \u062f\u0627\u0645\u0646\u0647 \u0639\u062f\u062f\u06cc \u0628\u0647 \u0632\u06cc\u0631 \u06af\u0631\u0648\u0647\u200c\u0647\u0627\u06cc\u06cc \u0627\u0632 \u06af\u0631\u0647 \u0647\u0627\u06cc \u0639\u062f\u062f\u06cc (\u0628\u0644\u0648\u06a9) \u062a\u0642\u0633\u06cc\u0645 \u0634\u062f\u0647 \u0648 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0627\u06cc\u0646 \u0628\u0644\u0648\u06a9\u0647\u0627 \u0627\u0632 \u0631\u0648\u0634\u0647\u0627\u06cc \u062d\u0630\u0641\u06cc (\u0631\u0648\u0634 \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u0627\u0645\u0627 \u06cc\u06a9 \u0631\u0648\u0646\u062f \u062a\u06a9\u0631\u0627\u0631\u06cc \u0628\u0631 \u06a9\u0644 \u0639\u0645\u0644\u06cc\u0627\u062a\u0647\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u062d\u0627\u06a9\u0645 \u0627\u0633\u062a. \u0628\u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631\u060c \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0628\u0644\u0648\u06a9\u06cc \u0634\u0627\u0645\u0644 \u0647\u0631 \u062f\u0648 \u0631\u0648\u0634 \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0648 \u062a\u06a9\u0631\u0627\u0631 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u062f\u0631 \u0634\u06a9\u0644 (9) \u0631\u0648\u0646\u062f \u06a9\u0644\u06cc \u0627\u0632 \u0686\u06af\u0648\u0646\u06af\u06cc \u0628\u06a9\u0627\u0631\u06af\u06cc\u0631\u06cc \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0631\u0627\u06cc \u062d\u0644 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11511 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Block-Iterative-Method.png\" alt=\"\u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0628\u0644\u0648\u06a9\u06cc\" width=\"852\" height=\"362\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Block-Iterative-Method.png 852w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Block-Iterative-Method-300x127.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Block-Iterative-Method-768x326.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Block-Iterative-Method-360x153.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Block-Iterative-Method-600x255.png 600w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/p>\n<h6 style=\"text-align: center;\"><strong><span style=\"color: #000000;\">\u0634\u06a9\u0644-9: \u0686\u06af\u0648\u0646\u06af\u06cc \u062d\u0644 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0628\u0644\u0648\u06a9\u06cc.<\/span><\/strong><\/h6>\n<p>&nbsp;<\/p>\n<h4 style=\"text-align: right;\"><span style=\"color: #ff0000;\"><strong>\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0627\u06cc. \u062f\u06cc. \u0622\u06cc (Alternative Direction Implicit (ADI))<\/strong><\/span><\/h4>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u062a\u0631\u062a\u06cc\u0628 \u062d\u0631\u06a9\u062a \u0633\u0637\u0631\u06cc \u06cc\u0627 \u0633\u062a\u0648\u0646\u06cc \u0646\u0631\u062e \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u062e\u0644\u0627\u0635\u06cc \u0631\u0627 \u0628\u0647\u0628\u0648\u062f \u0628\u062e\u0634\u06cc\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u06cc\u06a9 \u062d\u0644\u0642\u0647 \u06a9\u0627\u0645\u0644 \u062a\u06a9\u0631\u0627\u0631 \u0631\u0627 \u0628\u0627 \u06cc\u06a9\u0628\u0627\u0631 \u062c\u0627\u0631\u0648\u0628 \u06a9\u0631\u062f\u0646 \u062a\u0645\u0627\u0645 \u0633\u0637\u0631\u0647\u0627 \u0648 \u06cc\u06a9 \u0628\u0627\u0631 \u062c\u0627\u0631\u0648\u0628 \u06a9\u0631\u062f\u0646 \u062a\u0645\u0627\u0645 \u0633\u062a\u0648\u0646\u0647\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u062e\u0644\u0627\u0635\u06cc\u060c \u062a\u0634\u06a9\u06cc\u0644 \u062f\u0627\u062f. \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648\u0634\u060c \u06cc\u06a9 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u067e\u0646\u062c \u0642\u0637\u0631\u06cc \u0628\u0647 \u062f\u0648 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0633\u0647 \u0642\u0637\u0631\u06cc \u062a\u0642\u0633\u06cc\u0645 \u0634\u062f\u0647 \u0648 \u062d\u062c\u0645 \u062d\u0627\u0641\u0638\u0647 \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0648 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062d\u0644 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (\u0628\u0648\u06cc\u0698\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0636\u0631\u0627\u0626\u0628 \u0628\u0644\u0648\u06a9\u06cc) \u0628\u0637\u0648\u0631 \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647\u06cc \u06a9\u0627\u0647\u0634 \u0645\u06cc\u200c\u06cc\u0627\u0628\u062f.<\/span><\/p>\n<ul style=\"text-align: right;\">\n<li><\/li>\n<\/ul>\n<h4 style=\"text-align: right;\"><span style=\"color: #ff0000;\"><strong>\u0686\u06af\u0648\u0646\u06af\u06cc \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u062f\u0631 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u062a\u06a9\u0631\u0627\u0631<\/strong><\/span><\/h4>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u0627\u0634\u0627\u0631\u0647 \u0634\u062f\u060c \u062f\u0631 \u0631\u0648\u0634\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0647\u0631\u0686\u0647 \u0627\u0632 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u062c\u062f\u06cc\u062f\u062a\u0631\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u0648\u062f\u060c \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0648\u0634\u200c\u0647\u0627 \u0627\u0641\u0632\u0627\u06cc\u0634 \u0645\u06cc\u200c\u06cc\u0627\u0628\u062f. \u062f\u0631 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631\u060c \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0698\u0627\u06a9\u0648\u0628\u06cc \u0627\u0632 \u06a9\u0645\u062a\u0631\u06cc\u0646 \u0646\u0631\u062e \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u0648 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062e\u0644\u0627\u0635\u06cc \u0627\u0632 \u0628\u06cc\u0634\u062a\u0631\u06cc\u0646 \u0646\u0631\u062e \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u0628\u0631\u062e\u0648\u0631\u062f\u0627\u0631 \u0627\u0633\u062a. \u062f\u0631 \u0634\u06a9\u0644 (10) \u0647\u0645\u06af\u0631\u0627\u0626\u06cc \u062d\u0644 \u06cc\u06a9 \u0645\u0633\u0626\u0644\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u0645\u062e\u062a\u0644\u0641 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647 \u0627\u0633\u062a \u06a9\u0647 \u0627\u06cc\u0646 \u0645\u0648\u0636\u0648\u0639 \u0628\u0631\u0627\u06cc \u0647\u0631 \u062f\u0648 \u0631\u0648\u0634 \u062a\u06a9\u0631\u0627\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0648 \u062a\u06a9\u0631\u0627\u0631 \u062e\u0637\u06cc \u0635\u0627\u062f\u0642 \u0627\u0633\u062a.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11512 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Iterative-Method-Comparison.png\" alt=\"\u0645\u0642\u0627\u06cc\u0633\u0647 \u0631\u0648\u0634\u0647\u0627\u06cc \u062d\u0644 \u062a\u06a9\u0631\u0627\u0631\" width=\"640\" height=\"408\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Iterative-Method-Comparison.png 640w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Iterative-Method-Comparison-300x191.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Iterative-Method-Comparison-360x230.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/10\/Iterative-Method-Comparison-600x383.png 600w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/p>\n<h6 style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>\u0634\u06a9\u0644-10: \u0646\u0631\u062e \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u062f\u0631 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0645\u062e\u062a\u0644\u0641.<\/strong><\/span><\/h6>\n<p>\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0648 \u062a\u06a9\u0631\u0627\u0631\u06cc<\/p>\n<p style=\"text-align: left;\"><strong><span style=\"color: #000000;\">:[1]<\/span><\/strong><\/p>\n<p style=\"text-align: left;\"><strong><span style=\"color: #000000;\">\u00a0C. A. J. Fletcher, \u201cComputational Techniques for Fluid Dynamics\u201d, Volume 2, Springer-Verlage, Second Edition, 1991<\/span><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" style=\"text-align: right;\"><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/\"><strong>\u0628\u0627\u0632\u06af\u0634\u062a<\/strong><\/a><\/span><\/h3>\n<hr \/>\n<h3 class=\"has-text-align-right has-vivid-red-color has-cyan-bluish-gray-background-color has-text-color has-background has-medium-font-size\" style=\"text-align: right;\"><span style=\"color: #ff0000;\"><strong>\u0645\u0637\u0627\u0644\u0628 \u0645\u0631\u062a\u0628\u0637<\/strong><\/span><\/h3>\n<hr \/>\n<h4 style=\"text-align: right;\"><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/partial-differential-equation\/finite-difference-method\/\"><strong>\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062a\u0641\u0627\u0636\u0644 \u0645\u062d\u062f\u0648\u062f \u062f\u0631 \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062f\u06cc\u0641\u0631\u0627\u0646\u0633\u06cc\u0644 \u062c\u0632\u0626\u06cc<\/strong><\/a><\/span><\/h4>\n<h4 class=\"has-text-align-left has-cyan-bluish-gray-color has-text-color\" style=\"text-align: left;\"><span style=\"color: #999999;\"><em><a style=\"color: #999999;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/contact-us\/\"><strong>\u0628\u0631\u0627\u06cc \u06a9\u0633\u0628 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0628\u06cc\u0634\u062a\u0631 \u0628\u0627 \u0645\u0627 \u062a\u0645\u0627\u0633 \u0628\u06af\u06cc\u0631\u06cc\u062f<\/strong><\/a><\/em><\/span><\/h4>\n<h4 style=\"text-align: left;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"http:\/\/ae.sharif.edu\/~portal\/faculty\/2084842152\"><em><strong>\u062f\u06a9\u062a\u0631 \u0645\u062d\u0645\u062f \u0637\u06cc\u0628\u06cc \u0631\u0647\u0646\u06cc<\/strong><\/em><\/a><\/span><\/h4>\n<h5 class=\"has-text-align-left has-text-color\" style=\"text-align: left;\"><span style=\"color: #0000ff;\"><strong><em><a style=\"color: #0000ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/mohammad-reza-kelich-cv\/\">\u0645\u062d\u0645\u062f\u0631\u0636\u0627 \u06a9\u0644\u06cc\u0686<\/a><\/em><\/strong><\/span><\/h5>\n","protected":false},"excerpt":{"rendered":"<p>\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0648 \u062a\u06a9\u0631\u0627\u0631\u06cc \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a Direct and Iterative Methods for solving system of equations \u062f\u0631 \u062d\u0644 \u0639\u062f\u062f\u06cc \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0647 \u0631\u0648\u0634 \u0636\u0645\u0646\u06cc\u060c \u0644\u0627\u0632\u0645\u0633\u062a \u06a9\u0647 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a {b}={x}[A]\u060c \u062f\u0631 \u0647\u0631 \u06af\u0627\u0645 \u0632\u0645\u0627\u0646\u06cc \u06cc\u0627 \u062a\u06a9\u0631\u0627\u0631 \u062d\u0644 \u0634\u0648\u062f. \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u062a\u0639\u062f\u062f\u06cc \u0628\u0631\u0627\u06cc \u062d\u0644&hellip;&nbsp;<a href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/direct-and-iterative-methods\/\" class=\"more-link\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":11488,"parent":3477,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-11463","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0648 \u062a\u06a9\u0631\u0627\u0631\u06cc - cfd-mrk<\/title>\n<meta name=\"description\" content=\"\u062f\u0631 \u062d\u0644 \u0639\u062f\u062f\u064a \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0647 \u0631\u0648\u0634 \u0636\u0645\u0646\u064a\u060c \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a [A]{x}={b}\u060c \u06a9\u0644\u0627\u064b \u0628\u0647 \u062f\u0648 \u062f\u0633\u062a\u0647 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062d\u0644 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0648 \u062a\u06a9\u0631\u0627\u0631\u06cc \u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u064a \u0645\u064a\u200c\u0634\u0648\u0646\u062f.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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