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    An Iterative Solution for Second Order Linear Fredholm Integro-Differential Equations

    Access Status
    Fulltext not available
    Authors
    Aruchunan, Elayaraja
    Muthuvalu, M.
    Sulaiman, J.
    Koh, W.
    Akhir, K.
    Date
    2014
    Type
    Journal Article
    
    Metadata
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    Citation
    Aruchunan, E. and Muthuvalu, M. and Sulaiman, J. and Koh, W. and Akhir, K. 2014. An Iterative Solution for Second Order Linear Fredholm Integro-Differential Equations. Malaysian Journal of Mathematical Sciences. 8 (2): pp. 157-170.
    Source Title
    Malaysian Journal of Mathematical Sciences
    ISSN
    1823-8343
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/33509
    Collection
    • Curtin Research Publications
    Abstract

    The objective of this paper is to analyze the application of the quarter-sweep iterative concept on Quadrature-Difference schemes namely central difference (CD)-composite trapezoidal (CT) with the Gauss-Seidel iterative method to solve second order linear Fredholm integro-differential equations. The formulation and implementation of the Full-, Half- and Quarter-Sweep Gauss-Seidel methods namely FSGS, HSGS and QSGS are presented for performance comparison. Furthermore, computational complexity and percentage reduction calculations are also presented with several numerical simulations. The numerical results show that the proposed QSGS method with the corresponding discretization schemes is superior compared to the FSGS and HSGS methods.

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