MEGSOR Iterative Scheme for the Solution of 2D Elliptic PDE's

Jumat Sulaiman, and M. Othman, and M. K. Hasan, (2010) MEGSOR Iterative Scheme for the Solution of 2D Elliptic PDE's. In: World Academy of Science, Engineering and Technology.

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Official URL: http://www.scopus.com/record/display.url?view=basi...

Abstract

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.

Item Type:Conference Paper (UNSPECIFIED)
Uncontrolled Keywords:MEG iteration, Second-order finite difference, Weighted parameter, Approximation equations, Block iterative method, Block schemes, Convergence rates, Elliptic partial differential equation, Elliptic PDEs, Finite difference approximations, Four-point, Iterative schemes, MEG iteration, Second orders, System of linear equations, Weighted parameter
Subjects:?? QA101-(145) ??
Divisions:SCHOOL > School of Science and Technology
ID Code:2137
Deposited By:IR Admin
Deposited On:09 Mar 2011 08:45
Last Modified:30 Dec 2014 09:33

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