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Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm

An equation where solutions change on two vastly different scales will encounter a stiff problem. Partial differential equations can lead to systems of first order ordinary differential equations when discretized using finite difference such as methods of lines. The method of lines, (MOL) is a power...

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Main Authors: Yaacob, Nazeeruddin, Mohamed Murid, Ali Hassan, Wan Abdullah, Wan Rukaida, Hashim, Zulkifly
Format: Monograph
Language:English
Published: Faculty of Science 2005
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/5805/1/75085.pdf
http://eprints.utm.my/id/eprint/5805/
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spelling my.utm.58052017-08-10T01:22:16Z http://eprints.utm.my/id/eprint/5805/ Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm Yaacob, Nazeeruddin Mohamed Murid, Ali Hassan Wan Abdullah, Wan Rukaida Hashim, Zulkifly QA Mathematics An equation where solutions change on two vastly different scales will encounter a stiff problem. Partial differential equations can lead to systems of first order ordinary differential equations when discretized using finite difference such as methods of lines. The method of lines, (MOL) is a powerful technique for solving partial differential equation. This project aims to demonstrate the combination of two methods in order to solve the stiff problems. The methods are the method of lines with five-points central finite difference and the explicit third order Runge-Kutta method. Faculty of Science 2005-01-31 Monograph NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/5805/1/75085.pdf Yaacob, Nazeeruddin and Mohamed Murid, Ali Hassan and Wan Abdullah, Wan Rukaida and Hashim, Zulkifly (2005) Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm. Project Report. Faculty of Science, Skudai, Johor. (Unpublished)
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
Yaacob, Nazeeruddin
Mohamed Murid, Ali Hassan
Wan Abdullah, Wan Rukaida
Hashim, Zulkifly
Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm
description An equation where solutions change on two vastly different scales will encounter a stiff problem. Partial differential equations can lead to systems of first order ordinary differential equations when discretized using finite difference such as methods of lines. The method of lines, (MOL) is a powerful technique for solving partial differential equation. This project aims to demonstrate the combination of two methods in order to solve the stiff problems. The methods are the method of lines with five-points central finite difference and the explicit third order Runge-Kutta method.
format Monograph
author Yaacob, Nazeeruddin
Mohamed Murid, Ali Hassan
Wan Abdullah, Wan Rukaida
Hashim, Zulkifly
author_facet Yaacob, Nazeeruddin
Mohamed Murid, Ali Hassan
Wan Abdullah, Wan Rukaida
Hashim, Zulkifly
author_sort Yaacob, Nazeeruddin
title Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm
title_short Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm
title_full Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm
title_fullStr Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm
title_full_unstemmed Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm
title_sort stiff pde in heat problem : solution using the method of lines with new numerical algorithm
publisher Faculty of Science
publishDate 2005
url http://eprints.utm.my/id/eprint/5805/1/75085.pdf
http://eprints.utm.my/id/eprint/5805/
_version_ 1643644407256186880
score 13.18916

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