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


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


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.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Computer Science and Information Technology
Publisher: World Academy of Science, Engineering and Technology (WASET)
Keywords: MEG iteration; Second-order finite difference; Weighted parameter.
Depositing User: Ms. Nida Hidayati Ghazali
Date Deposited: 10 Jan 2014 04:24
Last Modified: 10 Jan 2014 04:24
URI: http://psasir.upm.edu.my/id/eprint/15602
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