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    QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations

    225793_150174_kamalrulzamanIJMA49-52-2014.pdf (401.7Kb)
    Access Status
    Open access
    Authors
    Akhir, K.
    Othman, M.A.
    Suleiman, M.
    Majid, Z.
    Sulaiman, J.
    Muthuvalu, M.
    Aruchunan, Elayaraja
    Date
    2014
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Akhir, 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.
    Source Title
    International Journal of Mathematical Analysis
    DOI
    10.12988/ijma.2014.48237
    ISSN
    1312-8876
    School
    Department of Mathematics and Statistics
    Remarks

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

    URI
    http://hdl.handle.net/20.500.11937/21266
    Collection
    • Curtin Research Publications
    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.

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