Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods

This dissertation reports a comparison of results from two classes of numerical methods for heat problems. The heat or diffusion equation, which is an example of parabolic equations are classified into the categories of the partial differential equations. Two classes of numerical methods, Method of...

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Main Author:	Wan Abdullah, Wan Rukaida
Format:	Thesis
Language:	English
Published:	2004
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/5442/1/WanRukaidaWanAbdullahMFS2004.pdf
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id	my-utm-ep.5442
record_format	uketd_dc
spelling	my-utm-ep.54422018-03-07T21:01:52Z Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods 2004-10 Wan Abdullah, Wan Rukaida QA Mathematics This dissertation reports a comparison of results from two classes of numerical methods for heat problems. The heat or diffusion equation, which is an example of parabolic equations are classified into the categories of the partial differential equations. Two classes of numerical methods, Method of Lines and Finite Difference Method are discussed. In Method of Lines, several Runge-Kutta methods were incorporated, including the third and fourth order. Finally, analysis on numerical results for the three heat problems is presented. 2004-10 Thesis http://eprints.utm.my/id/eprint/5442/ http://eprints.utm.my/id/eprint/5442/1/WanRukaidaWanAbdullahMFS2004.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Wan Abdullah, Wan Rukaida Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods
description	This dissertation reports a comparison of results from two classes of numerical methods for heat problems. The heat or diffusion equation, which is an example of parabolic equations are classified into the categories of the partial differential equations. Two classes of numerical methods, Method of Lines and Finite Difference Method are discussed. In Method of Lines, several Runge-Kutta methods were incorporated, including the third and fourth order. Finally, analysis on numerical results for the three heat problems is presented.
format	Thesis
qualification_level	Master's degree
author	Wan Abdullah, Wan Rukaida
author_facet	Wan Abdullah, Wan Rukaida
author_sort	Wan Abdullah, Wan Rukaida
title	Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods
title_short	Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods
title_full	Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods
title_fullStr	Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods
title_full_unstemmed	Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods
title_sort	study on solutions of heat problems using finite difference methods and method of lines incorporate with rk-liked methods
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2004
url	http://eprints.utm.my/id/eprint/5442/1/WanRukaidaWanAbdullahMFS2004.pdf
_version_	1747814594275966976

Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods

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