New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly

A new method called parallel R-point explicit block method for solving a single equation of higher order ordinary differential equation directly using a constant step size is developed. This method calculates the numerical solution at R point simultaneously and is parallel in nature. Computational...

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Main Authors:	Zurni Omar, Mohamed Suleiman
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2009
Online Access:	http://journalarticle.ukm.my/66/ http://journalarticle.ukm.my/66/ http://journalarticle.ukm.my/66/1/

id	ukm-66
recordtype	eprints
spelling	ukm-662016-12-14T06:26:18Z http://journalarticle.ukm.my/66/ New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly Zurni Omar, Mohamed Suleiman, A new method called parallel R-point explicit block method for solving a single equation of higher order ordinary differential equation directly using a constant step size is developed. This method calculates the numerical solution at R point simultaneously and is parallel in nature. Computational advantages are presented by comparing the results obtained with the new method with that of the conventional 1-point method. The numerical results show that the new method reduces the total number of steps and execution time. The accuracy of the parallel block and the conventional 1-point method is comparable particularly when finer step sizes are used. Universiti Kebangsaan Malaysia 2009-04 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/66/1/ Zurni Omar, and Mohamed Suleiman, (2009) New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly. Sains Malaysiana, 38 (2). pp. 227-231. ISSN 0126-6039 http://www.ukm.my/~jsm/kandungan.html
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	A new method called parallel R-point explicit block method for solving a single equation of higher order ordinary differential equation directly using a constant step size is developed. This method calculates the numerical solution at R point simultaneously and is parallel in nature. Computational advantages are presented by comparing the results obtained with the new method with that of the conventional 1-point method. The numerical results show that the new method reduces the total number of steps and execution time. The accuracy of the parallel block and the conventional 1-point method is comparable particularly when finer step sizes are used.
format	Article
author	Zurni Omar, Mohamed Suleiman,
spellingShingle	Zurni Omar, Mohamed Suleiman, New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly
author_facet	Zurni Omar, Mohamed Suleiman,
author_sort	Zurni Omar,
title	New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly
title_short	New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly
title_full	New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly
title_fullStr	New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly
title_full_unstemmed	New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly
title_sort	new parallel r-point explicit block method for solving linear high-order ordinary differential equations directly
publisher	Universiti Kebangsaan Malaysia
publishDate	2009
url	http://journalarticle.ukm.my/66/ http://journalarticle.ukm.my/66/ http://journalarticle.ukm.my/66/1/
first_indexed	2023-09-18T19:01:10Z
last_indexed	2023-09-18T19:01:10Z
_version_	1777403082886348800

New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly

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