IJPAM: Volume 80, No. 5 (2012)

AN EFFICIENT QUARTER-SWEEP MODIFIED SOR
ITERATIVE METHOD FOR SOLVING
HELMHOLTZ EQUATION

Mohd Kamalrulzaman Md Akhir$^1$, Mohamed Othman$^2$,
Zanariah Abdul Majid$^3$, Mohamed Suleiman$^4$, Jumat Sulaiman$^5$
$^{1,2,3,4}$Institute For Mathematical Research
Universiti Putra Malaysia
43400, UPM Serdang Selangor, MALAYSIA
$^{5}$Schools of Science and Technology
Universiti Malaysia Sabah
Locked Bag 2073, 88999 Kota Kinabalu Sabah, MALAYSIA


Abstract. The aim of this article is to describe the formulation of quarter-sweep Modified Successive Over-relaxation (QSMSOR) method using the finite difference approach for solving two-dimensional Helmholtz equation. The concept of QSMSOR method is inspired via the combination between quarter-sweep iterative and modified successive over-relaxation (MSOR) method. In addition, the formulation and the implementation of the QSMSOR method are also presented. Some illustrative examples are given to benchmark the effectiveness of the proposed method.

Received: September 25, 2012

AMS Subject Classification:

Key Words and Phrases: Helmholtz equation, full-, half-and-quarter-sweep iterations, modified successive over-relaxation (MSOR) method, finite difference method

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 5