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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
http://eprints.utm.my/id/eprint/5442/
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spelling my.utm.54422018-03-07T21:01:52Z http://eprints.utm.my/id/eprint/5442/ Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods 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 NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/5442/1/WanRukaidaWanAbdullahMFS2004.pdf Wan Abdullah, Wan Rukaida (2004) Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
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
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
publishDate 2004
url http://eprints.utm.my/id/eprint/5442/1/WanRukaidaWanAbdullahMFS2004.pdf
http://eprints.utm.my/id/eprint/5442/
_version_ 1643644327223623680
score 13.251813

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