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

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 metho...

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Bibliographic Details
Main Authors: Muthuvalu, Mohana Sundaram, Aruchunan, Elayaraja, Koh, Wei Sin, Md Akhir, Mohd Kamalrulzaman, Sulaiman, Jumat, Abdul Karim, Samsul Ariffin
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2013
Online Access:http://psasir.upm.edu.my/id/eprint/57640/1/Numerical%20performance%20of%20AOR%20methods%20in%20solving%20first%20order%20composite%20closed%20Newton-Cotes%20quadrature%20algebraic%20equations.pdf
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Summary: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.