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Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation.


Citation

Md Akhir, Mohd Kamalrulzaman and Othman, Mohamed and Abdul Majid, Zanariah and Suleiman, Mohamed and Sulaiman, Jumat (2012) Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation. International Journal of Mathematical Analysis, 6 (20). pp. 963-974. ISSN 1312-8876; ESSN:1314-7579

Abstract

In this article, we consider the numerical solution of two-dimensional Helmholtz equation. The four point Explicit Decoupled Group (EDG) iterative method together with Gauss-Seidel (GS) is applied to solve a linear system generated from discretization of the finite difference scheme using the second order central difference. In addition, the formulation and implementation of the proposed method to solve the problem also presented. Numerical result and comparisons with other existing method are given to illustrate the efficiency of the proposed method.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
Publisher: Hikari Ltd
Keywords: Helmholtz equation; Explicit group method; Explicit decoupled group; Method; Gauss-Seidel method; Finite difference scheme.
Depositing User: Nur Farahin Ramli
Date Deposited: 15 Jul 2013 04:08
Last Modified: 09 Oct 2015 08:01
URI: http://psasir.upm.edu.my/id/eprint/25208
Statistic Details: View Download Statistic

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