Numerical performance of half-sweep SOR method for solving second order composite closed Newton-Cotes system

Citation

Muthuvalu, Mohana Sundaram and Aruchunan, Elayaraja and Md Akhir, Mohd Kamalrulzaman and Sulaiman, Jumat and Abdul Karim, Samsul Ariffin (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), 3-5 June 2014, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 123-131).

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.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1063/1.4898456
Publisher:	AIP Publishing LLC
Keywords:	Half-sweep SOR; Second order composite closed Newton-Cotes quadrature (2-CCNC)
Depositing User:	Nabilah Mustapa
Date Deposited:	24 Oct 2017 08:46
Last Modified:	24 Oct 2017 08:46
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4898456
URI:	http://psasir.upm.edu.my/id/eprint/57642
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