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 method are also discussed. In addition, numerical results by solving several test problems are included and compared with the conventional iterative methods.

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

DOI

10.1063/1.4887566

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/4126

Collection

Curtin Research Publications