The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method

Mohd Kamalrulzaman Md Akhir, and Mohamed Othman, and Jumat Sulaiman, and Zanariah Abdul Majid, (2012) The solution of 2D Helmholtz Equations by Modified Explicit Group Iterative Method. In: Proc. Int. Conf. on Advances in Computing, Control, and Telecommunication Technologies, ACT.

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Abstract

The main aim of this paper is to examine a block iterative method known as the four point-Modified Explicit Group Modified Gauss Seidel (MEGGS) iterative method in solving 2D Helmholtz equations. The method is shown to be very much faster as compared to existing four-point block iterative method. In addition, by using an approximate equation based on the finite difference scheme, 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.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Helmholtz equations, Finite Difference (FD) scheme, Four point block scheme, Gauss Seidel (GS), Quarter-Sweep Iteration
Subjects: Q Science > QA Mathematics
Divisions: FACULTY > Faculty of Science and Natural Resources
Depositing User: Noraini
Date Deposited: 09 May 2019 06:15
Last Modified: 09 May 2019 06:15
URI: http://eprints.ums.edu.my/id/eprint/21398

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