An implementation of QSAOR iterative method for non-homogeneous helmholtz equations

Mohd Kamalrulzaman Md Akhir and Jumat Sulaiman and Mohamed Othman and Mohana Sundaram Muthuvalu (2016) An implementation of QSAOR iterative method for non-homogeneous helmholtz equations. International Journal of Contemporary Mathematical Sciences, 11 (2). pp. 85-96. ISSN 1312-7586

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Abstract

This paper aims to show the usefulness of the quarter-sweep acceler-ated over relaxation (QSAOR) method by implementing the quarter-sweep approximation equation based on finite difference (FD) to solvetwo-dimensional (2D) Helmholtz equations compared to full-sweep ac-celerated over relaxation (FSAOR) and half sweep accelerated over re-laxation (HSAOR) methods. The formulation and implementation ofthe QSAOR, HSAOR and FSAOR methods are also presented. Somenumerical tests were carried out to illustrate that the QSAOR methodis superior to HSAOR and FSAOR methods.

Item Type: Article
Keyword: QSAOR iterative method, Non-homogeneous Helmholtz equa-tions
Subjects: Q Science > QA Mathematics
Department: FACULTY > Faculty of Science and Natural Resources
Depositing User: MUNIRA BINTI MARASAN -
Date Deposited: 18 Feb 2018 19:57
Last Modified: 28 Dec 2020 12:34
URI: https://eprints.ums.edu.my/id/eprint/18867

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