{"id":1328,"date":"2019-12-19T02:58:25","date_gmt":"2019-12-19T02:58:25","guid":{"rendered":"https:\/\/people.utm.my\/hangseepheng\/?p=1328"},"modified":"2019-12-19T03:04:21","modified_gmt":"2019-12-19T03:04:21","slug":"solving-heat-equation-using-crank-nicolson-an-example","status":"publish","type":"post","link":"https:\/\/people.utm.my\/hangseepheng\/2019\/12\/19\/solving-heat-equation-using-crank-nicolson-an-example\/","title":{"rendered":"Solving Heat Equation Using Crank-Nicolson – An Example"},"content":{"rendered":"

SSCE 2393 NUMERICAL METHODS<\/strong><\/p>\n

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___________________________________________________________________________<\/p>\n

A) When h=0.2 and k = 0.25<\/strong><\/p>\n

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Figure I: Numerical Solution\u00a0\u00a0<\/strong>\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 Figure II: Exact Solution<\/strong><\/p>\n

__________________________________________________________________________<\/p>\n

B) When h=0.1 and k = 0.1<\/strong><\/p>\n

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 <\/p>\n

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 <\/p>\n

Figure III: Numerical Solution\u00a0 <\/strong>\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 Figure IV: Exact Solution<\/strong><\/p>\n

___________________________________________________________________________<\/p>\n","protected":false},"excerpt":{"rendered":"

SSCE 2393 NUMERICAL METHODS ___________________________________________________________________________ A) When h=0.2 and k = 0.25 Figure I: Numerical Solution\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 Figure II: Exact Solution __________________________________________________________________________ B) When h=0.1 and k = 0.1     Figure III: Numerical Solution\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 Figure IV: Exact Solution ___________________________________________________________________________<\/p>\n","protected":false},"author":15954,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5,1,16],"tags":[],"class_list":["post-1328","post","type-post","status-publish","format-standard","hentry","category-teaching","category-uncategorized","category-undergraduate"],"_links":{"self":[{"href":"https:\/\/people.utm.my\/hangseepheng\/wp-json\/wp\/v2\/posts\/1328","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.utm.my\/hangseepheng\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/people.utm.my\/hangseepheng\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/people.utm.my\/hangseepheng\/wp-json\/wp\/v2\/users\/15954"}],"replies":[{"embeddable":true,"href":"https:\/\/people.utm.my\/hangseepheng\/wp-json\/wp\/v2\/comments?post=1328"}],"version-history":[{"count":2,"href":"https:\/\/people.utm.my\/hangseepheng\/wp-json\/wp\/v2\/posts\/1328\/revisions"}],"predecessor-version":[{"id":1341,"href":"https:\/\/people.utm.my\/hangseepheng\/wp-json\/wp\/v2\/posts\/1328\/revisions\/1341"}],"wp:attachment":[{"href":"https:\/\/people.utm.my\/hangseepheng\/wp-json\/wp\/v2\/media?parent=1328"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/people.utm.my\/hangseepheng\/wp-json\/wp\/v2\/categories?post=1328"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/people.utm.my\/hangseepheng\/wp-json\/wp\/v2\/tags?post=1328"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}