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dc.contributor.authorAkhir, K.
dc.contributor.authorOthman, M.A.
dc.contributor.authorSuleiman, M.
dc.contributor.authorMajid, Z.
dc.contributor.authorSulaiman, J.
dc.contributor.authorMuthuvalu, M.
dc.contributor.authorAruchunan, Elayaraja
dc.date.accessioned2017-01-30T12:24:13Z
dc.date.available2017-01-30T12:24:13Z
dc.date.created2015-04-29T20:00:36Z
dc.date.issued2014
dc.identifier.citationAkhir, K. and Othman, M.A. and Suleiman, M. and Majid, Z. and Sulaiman, J. and Muthuvalu, M. and Aruchunan, E. 2014. QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations. International Journal of Mathematical Analysis. 8 (51): pp. 2493-2505.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/21266
dc.identifier.doi10.12988/ijma.2014.48237
dc.description.abstract

In this paper, we consider the numerical solutions of homogeneous Helmholtz equations of the second order. The Quarter-Sweep Modified Successive Over-Relaxation (QSMSOR) iterative method is applied to solve linear systems generated form discretization of the second order homogeneous Helmholtz equations using quarter sweep finite difference (FD) scheme. The formulation and implementation of the method are also discussed. In addition, numerical results by solving several test problems are included and compared with the conventional iterative methods.

dc.publisherHikari Ltd.
dc.subjectQuarter-sweep iteration
dc.subject- Modified Successive Over-Relaxation
dc.subjectHelmholtz equations
dc.subjectFinite Difference
dc.titleQSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations
dc.typeJournal Article
dcterms.source.volume8
dcterms.source.number51
dcterms.source.startPage2493
dcterms.source.endPage2505
dcterms.source.issn1312-8876
dcterms.source.titleInternational Journal of Mathematical Analysis
curtin.note

This open access article is distributed under the Creative Commons license http://creativecommons.org/licenses/by/4.0/

curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access


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