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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Main Authors: Muthuvalu, M.S., Aruchunan, E., Koh, W.S., Akhir, M.K.M., Sulaiman, J., Karim, S.A.A.
Format: Conference or Workshop Item
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.32312 /
Published: American Institute of Physics Inc. 2014
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904629045&doi=10.1063%2f1.4887566&partnerID=40&md5=3b350d2b91dd71eb90913e9d2e01a58a
http://eprints.utp.edu.my/32312/
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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. © 2014 AIP Publishing LLC.