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Partitioning ordinary differential equations using multistep formulas.

This paper focuses on solving Ordinary Differential Equations (ODEs) using partitioning technique known as Intervalwise Partitioning Block (IPB) method which is based on Block Backward Differentiation Formulas (BBDF) and Block Adams Formulas. Method based on BBDF requires Newton-like iteration invol...

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Main Authors: Suleiman, Mohamed, Ibrahim, Zarina Bibi, Othman, Khairil Iskandar
Format: Article
Language:English
Published: World Academy of Science Engineering and Technology 2008
Online Access:http://psasir.upm.edu.my/id/eprint/16054/
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spelling my.upm.eprints.160542013-07-18T00:55:28Z http://psasir.upm.edu.my/id/eprint/16054/ Partitioning ordinary differential equations using multistep formulas. Suleiman, Mohamed Ibrahim, Zarina Bibi Othman, Khairil Iskandar This paper focuses on solving Ordinary Differential Equations (ODEs) using partitioning technique known as Intervalwise Partitioning Block (IPB) method which is based on Block Backward Differentiation Formulas (BBDF) and Block Adams Formulas. Method based on BBDF requires Newton-like iteration involving the Jacobian matrix of the ODEs. These matrix operations in the iteration scheme are expensive and require a considerable amount of computational effort. Therefore, IPB technique is developed to reduce the cost of these iterations. Numerical results indicate that the IPB strategy reduce the execution time while accuracy is maintained. World Academy of Science Engineering and Technology 2008 Article PeerReviewed Suleiman, Mohamed and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar (2008) Partitioning ordinary differential equations using multistep formulas. World Academy of Science, Engineering and Technology, 16. pp. 52-53. ISSN 2010-376X English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description This paper focuses on solving Ordinary Differential Equations (ODEs) using partitioning technique known as Intervalwise Partitioning Block (IPB) method which is based on Block Backward Differentiation Formulas (BBDF) and Block Adams Formulas. Method based on BBDF requires Newton-like iteration involving the Jacobian matrix of the ODEs. These matrix operations in the iteration scheme are expensive and require a considerable amount of computational effort. Therefore, IPB technique is developed to reduce the cost of these iterations. Numerical results indicate that the IPB strategy reduce the execution time while accuracy is maintained.
format Article
author Suleiman, Mohamed
Ibrahim, Zarina Bibi
Othman, Khairil Iskandar
spellingShingle Suleiman, Mohamed
Ibrahim, Zarina Bibi
Othman, Khairil Iskandar
Partitioning ordinary differential equations using multistep formulas.
author_facet Suleiman, Mohamed
Ibrahim, Zarina Bibi
Othman, Khairil Iskandar
author_sort Suleiman, Mohamed
title Partitioning ordinary differential equations using multistep formulas.
title_short Partitioning ordinary differential equations using multistep formulas.
title_full Partitioning ordinary differential equations using multistep formulas.
title_fullStr Partitioning ordinary differential equations using multistep formulas.
title_full_unstemmed Partitioning ordinary differential equations using multistep formulas.
title_sort partitioning ordinary differential equations using multistep formulas.
publisher World Academy of Science Engineering and Technology
publishDate 2008
url http://psasir.upm.edu.my/id/eprint/16054/
_version_ 1643826105284558848
score 13.209306

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