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A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs.


Citation

Md Akhir, Mohd Kamalrulzaman and Othman, Mohamed and Suleiman, Mohamed and Sulaiman, Jumat (2012) A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs. Applied Mathematical Sciences, 6 (31). pp. 1505-1524. ISSN 1312-885X

Abstract / Synopsis

The main aim of this paper is to examine a new block iterative method known as the four Point-Octo Modified Explicit Group (OMEG) iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the full-, half- and quarter-sweep iterative methods. In addition, formulation and implementation of the proposed method to solve the problems are also presented. Numerical test and comparison with other existing four point block iterative methods are given to illustrate the effectiveness of the proposed method.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
Publisher: Hikari Ltd
Keywords: Elliptic equations; Octo-Sweep iteration; Quarter-Sweep iteration; Half-Sweep iteration; Full-Sweep iteration; Finite difference method.
Depositing User: Nur Farahin Ramli
Date Deposited: 17 Jul 2013 16:13
Last Modified: 09 Oct 2015 16:56
URI: http://psasir.upm.edu.my/id/eprint/25166
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