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MEGSOR iterative scheme for the solution of 2D elliptic PDEs.

Recently, the findings on the MEG iterative scheme has demonstrated to accelerate the convergence rate in solving any system of linear equations generated by using approximation equations of boundary value problems. Based on the same scheme, the aim of this paper is to investigate the capability of...

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Main Authors: Sulaiman, J., Othman, Mohamed, Hasan, M.K.
Format: Article
Language:English
Published: World Academy of Science, Engineering and Technology (WASET) 2010
Online Access:http://psasir.upm.edu.my/id/eprint/15602/
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spelling my.upm.eprints.156022014-01-10T04:24:15Z http://psasir.upm.edu.my/id/eprint/15602/ MEGSOR iterative scheme for the solution of 2D elliptic PDEs. Sulaiman, J. Othman, Mohamed Hasan, M.K. Recently, the findings on the MEG iterative scheme has demonstrated to accelerate the convergence rate in solving any system of linear equations generated by using approximation equations of boundary value problems. Based on the same scheme, the aim of this paper is to investigate the capability of a family of four-point block iterative methods with a weighted parameter,ω such as the 4 Point-EGSOR, 4 Point-EDGSOR, and 4 Point-MEGSOR in solving two-dimensional elliptic partial differential equations by using the second-order finite difference approximation. In fact, the formulation and implementation of three four-point block iterative methods are also presented. Finally, the experimental results show that the Four Point MEGSOR iterative scheme is superior as compared with the existing four point block schemes. World Academy of Science, Engineering and Technology (WASET) 2010 Article PeerReviewed Sulaiman, J. and Othman, Mohamed and Hasan, M.K. (2010) MEGSOR iterative scheme for the solution of 2D elliptic PDEs. World Academy of Science, Engineering and Technology, 38. pp. 418-424. ISSN 2070-3724 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 Recently, the findings on the MEG iterative scheme has demonstrated to accelerate the convergence rate in solving any system of linear equations generated by using approximation equations of boundary value problems. Based on the same scheme, the aim of this paper is to investigate the capability of a family of four-point block iterative methods with a weighted parameter,ω such as the 4 Point-EGSOR, 4 Point-EDGSOR, and 4 Point-MEGSOR in solving two-dimensional elliptic partial differential equations by using the second-order finite difference approximation. In fact, the formulation and implementation of three four-point block iterative methods are also presented. Finally, the experimental results show that the Four Point MEGSOR iterative scheme is superior as compared with the existing four point block schemes.
format Article
author Sulaiman, J.
Othman, Mohamed
Hasan, M.K.
spellingShingle Sulaiman, J.
Othman, Mohamed
Hasan, M.K.
MEGSOR iterative scheme for the solution of 2D elliptic PDEs.
author_facet Sulaiman, J.
Othman, Mohamed
Hasan, M.K.
author_sort Sulaiman, J.
title MEGSOR iterative scheme for the solution of 2D elliptic PDEs.
title_short MEGSOR iterative scheme for the solution of 2D elliptic PDEs.
title_full MEGSOR iterative scheme for the solution of 2D elliptic PDEs.
title_fullStr MEGSOR iterative scheme for the solution of 2D elliptic PDEs.
title_full_unstemmed MEGSOR iterative scheme for the solution of 2D elliptic PDEs.
title_sort megsor iterative scheme for the solution of 2d elliptic pdes.
publisher World Academy of Science, Engineering and Technology (WASET)
publishDate 2010
url http://psasir.upm.edu.my/id/eprint/15602/
_version_ 1643825975895523328
score 13.160551

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