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A new octo-sweep iterative method for solving two-dimensional elliptic equations.

Akhir, M.K.M and Othman , Mohamed and Suleiman, Mohamed and Sulaiman, Jumat (2012) A new octo-sweep iterative method for solving two-dimensional elliptic equations. International Journal of Applied Mathematics and Statistics, 30 (6). pp. 60-71. ISSN 0973-1377

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Abstract

The main aim of this paper is to examine a new point iterative method known as octo-sweep iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the quarter-, half- and full-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 methods are given to illustrate the effectiveness of the proposed method.

Item Type:Article
Keyword:Elliptic equations; Full-; Half-; Quarter- and Octo-Sweeps iterations; Finite difference method; Gauss-Seidel (GS) method.
Faculty or Institute:Faculty of Science
Publisher:Ijamas Ceser Publication
ID Code:25201
Deposited By: Nur Farahin Ramli
Deposited On:15 Jul 2013 15:21
Last Modified:29 Sep 2015 10:05

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