New computational method for solving ordinary differential equations

In this paper we present a developed couple block method for solving first order ordinary differential equations (ODEs). The coupled block method consists of two proposed block methods i.e the two point two step block method of order five and three point two step block method of order six. Therefore...

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Main Authors:	Hue, Chi San, Zanariah Abdul Majid, Mohamed Othman, Mohamed Suleiman
Format:	Article
Language:	English
Published:	Penerbit Universiti Kebangsaan Malaysia 2011
Online Access:	http://journalarticle.ukm.my/2893/ http://journalarticle.ukm.my/2893/ http://journalarticle.ukm.my/2893/1/jqma-7-1-08-zanariah.pdf

id	ukm-2893
recordtype	eprints
spelling	ukm-28932016-12-14T06:32:58Z http://journalarticle.ukm.my/2893/ New computational method for solving ordinary differential equations Hue, Chi San Zanariah Abdul Majid, Mohamed Othman, Mohamed Suleiman, In this paper we present a developed couple block method for solving first order ordinary differential equations (ODEs). The coupled block method consists of two proposed block methods i.e the two point two step block method of order five and three point two step block method of order six. Therefore, these methods will estimate the numerical solutions at two and three points simultaneously within a block. The proposed block method is derived using Lagrange interpolation polynomial and is presented as in the simple form of the Adams Moulton type. The developed code is implemented using variable step size and order. The stability of the methods is also studied. Numerical results are presented to compare the performance of the developed code to the existence block method. Penerbit Universiti Kebangsaan Malaysia 2011-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2893/1/jqma-7-1-08-zanariah.pdf Hue, Chi San and Zanariah Abdul Majid, and Mohamed Othman, and Mohamed Suleiman, (2011) New computational method for solving ordinary differential equations. Journal of Quality Measurement and Analysis, 7 (1). pp. 85-96. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	In this paper we present a developed couple block method for solving first order ordinary differential equations (ODEs). The coupled block method consists of two proposed block methods i.e the two point two step block method of order five and three point two step block method of order six. Therefore, these methods will estimate the numerical solutions at two and three points simultaneously within a block. The proposed block method is derived using Lagrange interpolation polynomial and is presented as in the simple form of the Adams Moulton type. The developed code is implemented using variable step size and order. The stability of the methods is also studied. Numerical results are presented to compare the performance of the developed code to the existence block method.
format	Article
author	Hue, Chi San Zanariah Abdul Majid, Mohamed Othman, Mohamed Suleiman,
spellingShingle	Hue, Chi San Zanariah Abdul Majid, Mohamed Othman, Mohamed Suleiman, New computational method for solving ordinary differential equations
author_facet	Hue, Chi San Zanariah Abdul Majid, Mohamed Othman, Mohamed Suleiman,
author_sort	Hue, Chi San
title	New computational method for solving ordinary differential equations
title_short	New computational method for solving ordinary differential equations
title_full	New computational method for solving ordinary differential equations
title_fullStr	New computational method for solving ordinary differential equations
title_full_unstemmed	New computational method for solving ordinary differential equations
title_sort	new computational method for solving ordinary differential equations
publisher	Penerbit Universiti Kebangsaan Malaysia
publishDate	2011
url	http://journalarticle.ukm.my/2893/ http://journalarticle.ukm.my/2893/ http://journalarticle.ukm.my/2893/1/jqma-7-1-08-zanariah.pdf
first_indexed	2023-09-18T19:37:18Z
last_indexed	2023-09-18T19:37:18Z
_version_	1777405356805193728

New computational method for solving ordinary differential equations

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