Half-sweep modified successive overrelaxation for solving two-dimensional Helmholtz equations

The main purpose of this article is to examine the effectiveness of the Half-sweep Modified Successive OverRelaxation (HSMSOR) in solving the sparse linear systems generated form discretization of the two-dimensional Helmholtz equations. In addition, the application and formulation of the HSGS itera...

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Main Authors: M.K.M Akhir, M. Othman, Jumat.Sulaiman, Z.A Majid, M. Suleiman
Format: Article
Language:English
Published: INSInet Publications 2011
Subjects:
Online Access:https://eprints.ums.edu.my/id/eprint/42359/1/FULL%20TEXT.pdf
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author M.K.M Akhir
M. Othman
Jumat.Sulaiman
Z.A Majid
M. Suleiman
author_facet M.K.M Akhir
M. Othman
Jumat.Sulaiman
Z.A Majid
M. Suleiman
author_sort M.K.M Akhir
collection UMS
description The main purpose of this article is to examine the effectiveness of the Half-sweep Modified Successive OverRelaxation (HSMSOR) in solving the sparse linear systems generated form discretization of the two-dimensional Helmholtz equations. In addition, the application and formulation of the HSGS iterative method also presented. Some illustrative examples are given to point out the efficiency of the proposed method.
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spelling ums.eprints-423592024-12-23T03:06:33Z https://eprints.ums.edu.my/id/eprint/42359/ Half-sweep modified successive overrelaxation for solving two-dimensional Helmholtz equations M.K.M Akhir M. Othman Jumat.Sulaiman Z.A Majid M. Suleiman QA273-280 Probabilities. Mathematical statistics QC669-675.8 Electromagnetic theory The main purpose of this article is to examine the effectiveness of the Half-sweep Modified Successive OverRelaxation (HSMSOR) in solving the sparse linear systems generated form discretization of the two-dimensional Helmholtz equations. In addition, the application and formulation of the HSGS iterative method also presented. Some illustrative examples are given to point out the efficiency of the proposed method. INSInet Publications 2011 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/42359/1/FULL%20TEXT.pdf M.K.M Akhir and M. Othman and Jumat.Sulaiman and Z.A Majid and M. Suleiman (2011) Half-sweep modified successive overrelaxation for solving two-dimensional Helmholtz equations. Australian Journal of Basic and Applied Sciences, 5 (12). pp. 1-7. ISSN 1991-8178
spellingShingle QA273-280 Probabilities. Mathematical statistics
QC669-675.8 Electromagnetic theory
M.K.M Akhir
M. Othman
Jumat.Sulaiman
Z.A Majid
M. Suleiman
Half-sweep modified successive overrelaxation for solving two-dimensional Helmholtz equations
title Half-sweep modified successive overrelaxation for solving two-dimensional Helmholtz equations
title_full Half-sweep modified successive overrelaxation for solving two-dimensional Helmholtz equations
title_fullStr Half-sweep modified successive overrelaxation for solving two-dimensional Helmholtz equations
title_full_unstemmed Half-sweep modified successive overrelaxation for solving two-dimensional Helmholtz equations
title_short Half-sweep modified successive overrelaxation for solving two-dimensional Helmholtz equations
title_sort half sweep modified successive overrelaxation for solving two dimensional helmholtz equations
topic QA273-280 Probabilities. Mathematical statistics
QC669-675.8 Electromagnetic theory
url https://eprints.ums.edu.my/id/eprint/42359/1/FULL%20TEXT.pdf
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AT zamajid halfsweepmodifiedsuccessiveoverrelaxationforsolvingtwodimensionalhelmholtzequations
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