One-step exponential-rational methods for the numerical solution of first order initial value problems

In this study, a new class of exponential-rational methods (ERMs) for the numerical solution of first order initial value problems has been developed. Developments of third order and fourth order ERMs, as well as their corresponding local truncation error have been presented. Each ERM was found to b...

Full description

Bibliographic Details
Main Authors:	Teh, Yuan Ying, Nazeeruddin Yaacob
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2013
Online Access:	http://journalarticle.ukm.my/6289/ http://journalarticle.ukm.my/6289/ http://journalarticle.ukm.my/6289/1/18_Teh_Yuan_Ying.pdf

id	ukm-6289
recordtype	eprints
spelling	ukm-62892016-12-14T06:40:45Z http://journalarticle.ukm.my/6289/ One-step exponential-rational methods for the numerical solution of first order initial value problems Teh, Yuan Ying Nazeeruddin Yaacob, In this study, a new class of exponential-rational methods (ERMs) for the numerical solution of first order initial value problems has been developed. Developments of third order and fourth order ERMs, as well as their corresponding local truncation error have been presented. Each ERM was found to be consistent with the differential equation and L-stable. Numerical experiments showed that the third order and fourth order ERMs generates more accurate numerical results compared with the existing rational methods in solving first order initial value problems. Universiti Kebangsaan Malaysia 2013-06 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/6289/1/18_Teh_Yuan_Ying.pdf Teh, Yuan Ying and Nazeeruddin Yaacob, (2013) One-step exponential-rational methods for the numerical solution of first order initial value problems. Sains Malaysiana, 42 (6). pp. 845-853. ISSN 0126-6039 http://www.ukm.my/jsm/
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	In this study, a new class of exponential-rational methods (ERMs) for the numerical solution of first order initial value problems has been developed. Developments of third order and fourth order ERMs, as well as their corresponding local truncation error have been presented. Each ERM was found to be consistent with the differential equation and L-stable. Numerical experiments showed that the third order and fourth order ERMs generates more accurate numerical results compared with the existing rational methods in solving first order initial value problems.
format	Article
author	Teh, Yuan Ying Nazeeruddin Yaacob,
spellingShingle	Teh, Yuan Ying Nazeeruddin Yaacob, One-step exponential-rational methods for the numerical solution of first order initial value problems
author_facet	Teh, Yuan Ying Nazeeruddin Yaacob,
author_sort	Teh, Yuan Ying
title	One-step exponential-rational methods for the numerical solution of first order initial value problems
title_short	One-step exponential-rational methods for the numerical solution of first order initial value problems
title_full	One-step exponential-rational methods for the numerical solution of first order initial value problems
title_fullStr	One-step exponential-rational methods for the numerical solution of first order initial value problems
title_full_unstemmed	One-step exponential-rational methods for the numerical solution of first order initial value problems
title_sort	one-step exponential-rational methods for the numerical solution of first order initial value problems
publisher	Universiti Kebangsaan Malaysia
publishDate	2013
url	http://journalarticle.ukm.my/6289/ http://journalarticle.ukm.my/6289/ http://journalarticle.ukm.my/6289/1/18_Teh_Yuan_Ying.pdf
first_indexed	2023-09-18T19:46:28Z
last_indexed	2023-09-18T19:46:28Z
_version_	1777405933424476160

One-step exponential-rational methods for the numerical solution of first order initial value problems

Similar Items