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...
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
INSInet Publications
2011
|
Subjects: | |
Online Access: | https://eprints.ums.edu.my/id/eprint/42359/1/FULL%20TEXT.pdf |
_version_ | 1825716024031313920 |
---|---|
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. |
first_indexed | 2025-03-05T01:34:41Z |
format | Article |
id | ums.eprints-42359 |
institution | Universiti Malaysia Sabah |
language | English |
last_indexed | 2025-03-05T01:34:41Z |
publishDate | 2011 |
publisher | INSInet Publications |
record_format | dspace |
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 |
work_keys_str_mv | AT mkmakhir halfsweepmodifiedsuccessiveoverrelaxationforsolvingtwodimensionalhelmholtzequations AT mothman halfsweepmodifiedsuccessiveoverrelaxationforsolvingtwodimensionalhelmholtzequations AT jumatsulaiman halfsweepmodifiedsuccessiveoverrelaxationforsolvingtwodimensionalhelmholtzequations AT zamajid halfsweepmodifiedsuccessiveoverrelaxationforsolvingtwodimensionalhelmholtzequations AT msuleiman halfsweepmodifiedsuccessiveoverrelaxationforsolvingtwodimensionalhelmholtzequations |