{"id":1922,"date":"2025-09-24T15:55:25","date_gmt":"2025-09-24T08:55:25","guid":{"rendered":"https:\/\/www.its.ac.id\/publikasi\/?p=1922"},"modified":"2025-09-24T15:55:25","modified_gmt":"2025-09-24T08:55:25","slug":"a-generalized-finite-difference-method-for-transient-heat-conduction-analysis-short-communication","status":"publish","type":"post","link":"https:\/\/www.its.ac.id\/publikasi\/2025\/09\/24\/a-generalized-finite-difference-method-for-transient-heat-conduction-analysis-short-communication\/","title":{"rendered":"A GENERALIZED FINITE DIFFERENCE METHOD FOR TRANSIENT HEAT CONDUCTION ANALYSIS-SHORT COMMUNICATION"},"content":{"rendered":"<div id=\"authorString\"><em>Mas Irfan P. Hidayat<\/em><\/div>\n<p>&nbsp;<\/p>\n<div id=\"articleAbstract\">\n<h4>Abstract<\/h4>\n<div>This short communication presents a meshless local B-spline basis functions-finite difference (FD) method for transient heat conduction analysis. The method is truly meshless as only scattered nodal distribution is required in the problem domain. It is also simple and efficient to program. As it has the Kronecker delta property, the imposition of boundary conditions can be incorporated efficiently. In the method, any governing equations are discretized by B-spline approximation in the spirit of FD technique using local B-spline collocation. It hence belongs to a generalized FD method, in which any derivative at a point or node is stated as neighbouring nodal values based on the B-spline interpolants. Numerical results show the effectiveness and efficiency of the meshless method for analysis of transient heat conduction in complex domain.<\/div>\n<\/div>\n<div id=\"articleSubject\">\n<h4>Keywords<\/h4>\n<div>A generalized FD; meshless; B-splines; local collocation; transient heat conduction; complex domain<\/div>\n<\/div>\n<div id=\"articleFullText\">\n<h4>Full Text:<\/h4>\n<p><a class=\"file\" href=\"https:\/\/iptek.its.ac.id\/index.php\/mrm\/article\/view\/16976\" target=\"_parent\">PDF<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Mas Irfan P. Hidayat &nbsp; Abstract This short communication presents a meshless local B-spline basis functions-finite difference (FD) method for transient heat conduction analysis. The method is truly meshless as only scattered nodal distribution is required in the problem domain. It is also simple and efficient to program. As it has the Kronecker delta property, [&hellip;]<\/p>\n","protected":false},"author":250,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_joinchat":[],"footnotes":""},"categories":[137],"tags":[],"class_list":["post-1922","post","type-post","status-publish","format-standard","hentry","category-mrm-jurnal"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>A GENERALIZED FINITE DIFFERENCE METHOD FOR TRANSIENT HEAT CONDUCTION ANALYSIS-SHORT COMMUNICATION - IJC ( ITS Journal Center )<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.its.ac.id\/publikasi\/2025\/09\/24\/a-generalized-finite-difference-method-for-transient-heat-conduction-analysis-short-communication\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A GENERALIZED FINITE DIFFERENCE METHOD FOR TRANSIENT HEAT CONDUCTION ANALYSIS-SHORT COMMUNICATION - IJC ( ITS Journal Center )\" \/>\n<meta property=\"og:description\" content=\"Mas Irfan P. Hidayat &nbsp; Abstract This short communication presents a meshless local B-spline basis functions-finite difference (FD) method for transient heat conduction analysis. The method is truly meshless as only scattered nodal distribution is required in the problem domain. It is also simple and efficient to program. As it has the Kronecker delta property, [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.its.ac.id\/publikasi\/2025\/09\/24\/a-generalized-finite-difference-method-for-transient-heat-conduction-analysis-short-communication\/\" \/>\n<meta property=\"og:site_name\" content=\"IJC ( ITS Journal Center )\" \/>\n<meta property=\"article:published_time\" content=\"2025-09-24T08:55:25+00:00\" \/>\n<meta name=\"author\" content=\"itspublikasi\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"itspublikasi\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.its.ac.id\/publikasi\/2025\/09\/24\/a-generalized-finite-difference-method-for-transient-heat-conduction-analysis-short-communication\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.its.ac.id\/publikasi\/2025\/09\/24\/a-generalized-finite-difference-method-for-transient-heat-conduction-analysis-short-communication\/\"},\"author\":{\"name\":\"itspublikasi\",\"@id\":\"https:\/\/www.its.ac.id\/publikasi\/#\/schema\/person\/1241b8776d05c54fbc628c0a83d59e3c\"},\"headline\":\"A GENERALIZED FINITE DIFFERENCE METHOD FOR TRANSIENT HEAT CONDUCTION ANALYSIS-SHORT COMMUNICATION\",\"datePublished\":\"2025-09-24T08:55:25+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.its.ac.id\/publikasi\/2025\/09\/24\/a-generalized-finite-difference-method-for-transient-heat-conduction-analysis-short-communication\/\"},\"wordCount\":160,\"commentCount\":0,\"articleSection\":[\"mrm jurnal\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.its.ac.id\/publikasi\/2025\/09\/24\/a-generalized-finite-difference-method-for-transient-heat-conduction-analysis-short-communication\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.its.ac.id\/publikasi\/2025\/09\/24\/a-generalized-finite-difference-method-for-transient-heat-conduction-analysis-short-communication\/\",\"url\":\"https:\/\/www.its.ac.id\/publikasi\/2025\/09\/24\/a-generalized-finite-difference-method-for-transient-heat-conduction-analysis-short-communication\/\",\"name\":\"A GENERALIZED FINITE DIFFERENCE METHOD FOR TRANSIENT HEAT CONDUCTION ANALYSIS-SHORT COMMUNICATION - 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