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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/2519/1/18_Zanariah.pdf
http://journalarticle.ukm.my/2519/
http://www.ukm.my/jsm/
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spelling my-ukm.journal.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/
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
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/2519/1/18_Zanariah.pdf
http://journalarticle.ukm.my/2519/
http://www.ukm.my/jsm/
_version_ 1643735404610846720
score 13.211869

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