Predictor-corrector block iteration method for solving ordinary differential equations

Predictor-corrector two point block methods are developed for solving first order ordinary differential equations (ODEs) using variable step size. The method will estimate the solutions of initial value problems (IVPs) at two points simultaneously. The existence multistep method involves the computa...

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Main Authors:	Zanariah Abdul Majid, Mohamed Suleiman
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2011
Online Access:	http://journalarticle.ukm.my/2519/ http://journalarticle.ukm.my/2519/ http://journalarticle.ukm.my/2519/1/18_Zanariah.pdf

id	ukm-2519
recordtype	eprints
spelling	ukm-25192016-12-14T06:31:51Z http://journalarticle.ukm.my/2519/ Predictor-corrector block iteration method for solving ordinary differential equations Zanariah Abdul Majid, Mohamed Suleiman, Predictor-corrector two point block methods are developed for solving first order ordinary differential equations (ODEs) using variable step size. The method will estimate the solutions of initial value problems (IVPs) at two points simultaneously. The existence multistep method involves the computations of the divided differences and integration coefficients when using the variable step size or variable step size and order. The block method developed will be presented as in the form of Adams Bashforth - Moulton type and the coefficients will be stored in the code. The efficiency of the predictor-corrector block method is compared to the standard variable step and order non block multistep method in terms of total number of steps, maximum error, total function calls and execution times. Universiti Kebangsaan Malaysia 2011-06 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2519/1/18_Zanariah.pdf Zanariah Abdul Majid, and Mohamed Suleiman, (2011) Predictor-corrector block iteration method for solving ordinary differential equations. Sains Malaysiana, 40 (6). pp. 659-664. 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	Predictor-corrector two point block methods are developed for solving first order ordinary differential equations (ODEs) using variable step size. The method will estimate the solutions of initial value problems (IVPs) at two points simultaneously. The existence multistep method involves the computations of the divided differences and integration coefficients when using the variable step size or variable step size and order. The block method developed will be presented as in the form of Adams Bashforth - Moulton type and the coefficients will be stored in the code. The efficiency of the predictor-corrector block method is compared to the standard variable step and order non block multistep method in terms of total number of steps, maximum error, total function calls and execution times.
format	Article
author	Zanariah Abdul Majid, Mohamed Suleiman,
spellingShingle	Zanariah Abdul Majid, Mohamed Suleiman, Predictor-corrector block iteration method for solving ordinary differential equations
author_facet	Zanariah Abdul Majid, Mohamed Suleiman,
author_sort	Zanariah Abdul Majid,
title	Predictor-corrector block iteration method for solving ordinary differential equations
title_short	Predictor-corrector block iteration method for solving ordinary differential equations
title_full	Predictor-corrector block iteration method for solving ordinary differential equations
title_fullStr	Predictor-corrector block iteration method for solving ordinary differential equations
title_full_unstemmed	Predictor-corrector block iteration method for solving ordinary differential equations
title_sort	predictor-corrector block iteration method for solving ordinary differential equations
publisher	Universiti Kebangsaan Malaysia
publishDate	2011
url	http://journalarticle.ukm.my/2519/ http://journalarticle.ukm.my/2519/ http://journalarticle.ukm.my/2519/1/18_Zanariah.pdf
first_indexed	2023-09-18T19:36:18Z
last_indexed	2023-09-18T19:36:18Z
_version_	1777405293353762816

Predictor-corrector block iteration method for solving ordinary differential equations

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