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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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World Academy of Science, Engineering and Technology (WASET)
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15602/ |
| _version_ | 1848842723498393600 |
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| author | Sulaiman, J. Othman, Mohamed Hasan, M.K. |
| author_facet | Sulaiman, J. Othman, Mohamed Hasan, M.K. |
| author_sort | Sulaiman, J. |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T08:03:40Z |
| format | Article |
| id | upm-15602 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:03:40Z |
| publishDate | 2010 |
| publisher | World Academy of Science, Engineering and Technology (WASET) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Sulaiman, J. Othman, Mohamed Hasan, M.K. MEGSOR iterative scheme for the solution of 2D elliptic PDEs. |
| title | 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_short | MEGSOR iterative scheme for the solution of 2D elliptic PDEs. |
| title_sort | megsor iterative scheme for the solution of 2d elliptic pdes. |
| url | http://psasir.upm.edu.my/id/eprint/15602/ |