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    Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations

    Access Status
    Open access via publisher
    Authors
    Muthuvalu, M.
    Aruchunan, Elayaraja
    Koh, W.
    Akhir, K.
    Sulaiman, J.
    Karim, S.
    Date
    2014
    Type
    Conference Paper
    
    Metadata
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    Citation
    Muthuvalu, M. and Aruchunan, E. and Koh, W. and Akhir, K. and Sulaiman, J. and Karim, S. 2014. Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations, in Mohd Tahir Ismail , Syakila Ahmad and Rosmanjawati Abdul Rahman (ed), 21st National Symposium on Mathematical Sciences (SKSM21): Germination of Mathematical Sciences Education and Research towards Global Sustainability, Aug 6 2013. Penang, Malaysia: AIP.
    Source Title
    AIP Conference Proceedings 1605
    Source Conference
    PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): Germination of Mathematical Sciences Education and Research towards Global Sustainability
    DOI
    10.1063/1.4887566
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/4126
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, the application of the Accelerated Over-Relaxation (AOR) iterative method is extended to solve first order composite closed Newton-Cotes quadrature (1-CCNC) algebraic equations arising from second kind linear Fredholm integral equations. 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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