An efficient quarter-sweep modified SOR iterative method for solving helmholtz equation

Mohd Kamalrulzaman Md Akhir, and Mohamed Othman, and Zanariah Abdul Majid, and Mohamed Suleiman, and Jumat Sulaiman, (2012) An efficient quarter-sweep modified SOR iterative method for solving helmholtz equation. International Journal of Pure and Applied Mathematics, 80 (5). pp. 751-764. ISSN 1311-8080

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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.

Item Type: Article
Uncontrolled Keywords: Helmholtz equation, full-, half-and-quarter-sweep iterations, modified successive over-relaxation (MSOR) method, finite difference method
Subjects: Q Science > QA Mathematics
Divisions: FACULTY > Faculty of Science and Natural Resources
Depositing User: Munira
Date Deposited: 18 Feb 2018 11:57
Last Modified: 18 Feb 2018 11:57
URI: http://eprints.ums.edu.my/id/eprint/18846

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