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

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 seco...

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Bibliographic Details
Main Authors: Md Akhir, Mohd Kamalrulzaman, Othman, Mohamed, Abdul Majid, Zanariah, Suleiman, Mohamed, Sulaiman, Jumat
Format: Article
Language:English
English
Published: Hikari Ltd 2012
Online Access:http://psasir.upm.edu.my/id/eprint/25208/
http://psasir.upm.edu.my/id/eprint/25208/1/Four%20point%20explicit%20decoupled%20group%20iterative%20method%20applied%20to%20two.pdf
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Summary: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.