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    Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations

    Access Status
    Fulltext not available
    Authors
    Aruchunan, Elayaraja
    Muthuvalu, M.
    Sulaiman, J.
    Date
    2013
    Type
    Conference Paper
    
    Metadata
    Show full item record
    Citation
    Aruchunan, E. and Muthuvalu, M. and Sulaiman, J. 2013. Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations, in 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012, Dec 18 2012. Putrajaya; Malaysia: American Institute of Physics.
    Source Title
    AIP Conference Proceedings
    Source Conference
    20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012
    DOI
    10.1063/1.4801120
    ISBN
    978-073541150-0
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/15817
    Collection
    • Curtin Research Publications
    Abstract

    The main core of this paper is to analyze the application of the quarter-sweep iterative concept on finite difference and composite trapezoidal schemes with Gauss-Seidel iterative method to solve first 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 respectively are also presented for performance comparison. Furthermore, computational complexity and percentage reduction analysis are also included and integrated with several numerical simulations. Based on numerical results, findings show the proposed QSGS method with the corresponding discretization schemes is superior compared to FSGS and HSGS iterative methods.

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