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Explicit methods in solving stiff ordinary differential equations

In this article, we extended the existing explicit Taylor method and modified it to gain a new explicit Taylor-liked method in solving stiff differential equations. We also considered the stability property for this method since the stability property of the classical explicit fourth order Runge-Kut...

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Main Authors: Ahmad, R. R., Yaacob, Nazeeruddin, Mohamed Murid, Ali Hassan
Format: Article
Published: Taylor & Francis LTD 2004
Subjects:
Q Science (General)
Online Access:http://eprints.utm.my/id/eprint/12198/
http://dx.doi.org/10.1080/00207160410001661744
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id my.utm.12198
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spelling my.utm.121982011-07-22T08:16:11Z http://eprints.utm.my/id/eprint/12198/ Explicit methods in solving stiff ordinary differential equations Ahmad, R. R. Yaacob, Nazeeruddin Mohamed Murid, Ali Hassan Q Science (General) In this article, we extended the existing explicit Taylor method and modified it to gain a new explicit Taylor-liked method in solving stiff differential equations. We also considered the stability property for this method since the stability property of the classical explicit fourth order Runge-Kutta (RK4) method is not adequate for the solution of stiff problems. Implicit methods could work well for stiff problems but have certain drawbacks especially when discussing about the cost. A comparison of the existing implicit Adam-Bashforth, the classical explicit (RK4) and the new explicit Taylor-liked method is presented. Taylor & Francis LTD 2004-11 Article PeerReviewed Ahmad, R. R. and Yaacob, Nazeeruddin and Mohamed Murid, Ali Hassan (2004) Explicit methods in solving stiff ordinary differential equations. International Journal of Computer Mathematics , 81 (11). pp. 1407-1415. ISSN 00207160 http://dx.doi.org/10.1080/00207160410001661744 doi:10.1080/00207160410001661744
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/
topic Q Science (General)
spellingShingle Q Science (General)
Ahmad, R. R.
Yaacob, Nazeeruddin
Mohamed Murid, Ali Hassan
Explicit methods in solving stiff ordinary differential equations
description In this article, we extended the existing explicit Taylor method and modified it to gain a new explicit Taylor-liked method in solving stiff differential equations. We also considered the stability property for this method since the stability property of the classical explicit fourth order Runge-Kutta (RK4) method is not adequate for the solution of stiff problems. Implicit methods could work well for stiff problems but have certain drawbacks especially when discussing about the cost. A comparison of the existing implicit Adam-Bashforth, the classical explicit (RK4) and the new explicit Taylor-liked method is presented.
format Article
author Ahmad, R. R.
Yaacob, Nazeeruddin
Mohamed Murid, Ali Hassan
author_facet Ahmad, R. R.
Yaacob, Nazeeruddin
Mohamed Murid, Ali Hassan
author_sort Ahmad, R. R.
title Explicit methods in solving stiff ordinary differential equations
title_short Explicit methods in solving stiff ordinary differential equations
title_full Explicit methods in solving stiff ordinary differential equations
title_fullStr Explicit methods in solving stiff ordinary differential equations
title_full_unstemmed Explicit methods in solving stiff ordinary differential equations
title_sort explicit methods in solving stiff ordinary differential equations
publisher Taylor & Francis LTD
publishDate 2004
url http://eprints.utm.my/id/eprint/12198/
http://dx.doi.org/10.1080/00207160410001661744
_version_ 1643645886175117312
score 13.209306

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