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    Approximation Solution For Second Order Linear Fredholm Integro-Differential Equations By Implementing Half-Sweep Gauss-Seidel Method

    Access Status
    Fulltext not available
    Authors
    Aruchunan, Elayaraja
    Sulaiman, J.
    Date
    2011
    Type
    Conference Paper
    
    Metadata
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    Citation
    Aruchunan, Elayaraja and Sulaiman, Jumat. 2011. Approximation Solution For Second Order Linear Fredholm Integro-Differential Equations By Implementing Half-Sweep Gauss-Seidel Method, in Ariffin, Marinah Mohd. and others (ed), Empowering Science, Technology and Innovation toward a better tomorrow, Universiti Malaysia Terengganu, 10th International Annual Symposium (UMTAS 2011), Jul 11-13, 2011. Kuala Terengganu, Malaysia: Universiti Malaysia Terengganu
    Source Title
    Empowering Science, Technology and Innovation Toward a Better Tomorrow
    Source Conference
    Universiti Malaysia Terengganu,10th International Annual Symposium (UMTAS 2011)
    ISBN
    978-967-5366-60-4
    School
    Curtin Sarawak - Faculty Office
    URI
    http://hdl.handle.net/20.500.11937/19938
    Collection
    • Curtin Research Publications
    Abstract

    This paper provides an overview of the formulation, analysis and implementation of the Half-Sweep Gauss-Seidel (HSGS) method for solving second order linear Fredholm Integro-differential equation (SOLFIDE) based on backward difference (BD) and repeated trapezoidal (RT) approximation schemes. In fact, the formulation and implementation of the Full-Sweep Gauss-Seidel (FSGS) method, also known as standard Gauss-Seidel, are presented to show the significant result of proposed method. The HSGS method has been shown to converge rapidly as compared to the FSGS method. Finally some numerical tests were demonstrated to show that the HSGS method is superior to the FSGS method.

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      The purpose of this paper is to scrutinize the application of the Quarter-Sweep Gauss-Seidel (QSGS) method by using the quarter-sweep approximation equation based on backward difference (BD) and repeated trapezoidal (RT) ...
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