Four Point Explicit Decoupled Group Iterative Method Applied to Two-Dimensional Helmholtz Equation

Mohd Kamalrulzaman Md Akhir, and Mohamed Othman, and Zanariah Abdul Majid, and Mohamed Suleiman, and Jumat Sulaiman, (2012) Four Point Explicit Decoupled Group Iterative Method Applied to Two-Dimensional Helmholtz Equation. International Journal of Mathematical Analysis, Vol. 6(20): 963-974. [ISSN: 1312-8876] Indexed by Scopus., 6 (20). pp. 963-974. ISSN 1312-8876

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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.

Item Type: Article
Uncontrolled Keywords: Helmholtz equation, Explicit Group Method, Explicit Decoupled Group Method, Gauss-Seidel Method, Finite Difference Scheme.
Subjects: Q Science > QA Mathematics
Divisions: SCHOOL > School of Science and Technology
Depositing User: MR OTHMAN HJ RAWI
Date Deposited: 08 Mar 2019 08:10
Last Modified: 08 Mar 2019 08:10
URI: http://eprints.ums.edu.my/id/eprint/21520

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