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, M., Aruchunan, Elayaraja, Koh, W., Akhir, K., Sulaiman, J., Karim, S.
Other Authors: Mohd Tahir Ismail
Format: Conference Paper
Published: AIP 2014
Online Access:http://hdl.handle.net/20.500.11937/4126
Description
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.