Numerical Performance of Half-Sweep SOR Method for Solving Second Order Composite Closed Newton-Cotes System

Muthuvalu, M.; Aruchunan, Elayaraja; Akhir, K.; Sulaiman, J.; Karim, S.

doi:10.1063/1.4898456

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Authors

Muthuvalu, M.

Aruchunan, Elayaraja

Akhir, K.

Sulaiman, J.

Karim, S.

Date

2014

Type

Conference Paper

Metadata

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Citation

Muthuvalu, M. and Aruchunan, E. and Akhir, K. and Sulaiman, J. and Karim, S. 2014. Numerical Performance of Half-Sweep SOR Method for Solving Second Order Composite Closed Newton-Cotes System, in 3rd International Conference on Fundamental and Applied Sciences (ICFAS 2014), Innovative Research in Applied Sciences for a Sustainable Future, pp. 123-131. Kuala Lumpur, Malaysia: American Institute of Physics.

Source Title

AIP Conference Proceedings

Source Conference

3rd International Conference on Fundamental and Applied Sciences (ICFAS 2014)

DOI

10.1063/1.4898456

ISSN

0094-243X

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/23877

Collection

Curtin Research Publications

Abstract

In this paper, application of the Half-Sweep Successive Over-Relaxation (HSSOR) iterative method is extended by solving second order composite closed Newton-Cotes quadrature (2-CCNC) system. The performance of HSSOR method in solving 2-CCNC system is comparatively studied by their application on linear Fredholm integral equations of the second kind. The derivation and implementation of the method are discussed. In addition, numerical results by solving two test problems are included and compared with the standard Gauss-Seidel (GS) and Successive Over-Relaxation (SOR)methods. Numerical results demonstrate that HSSOR method is an efficient method among the tested methods.