Refinement of SOR iterative method for the linear rational finite difference solution of second-order Fredholm Integro-differential equations

Xu, Ming-Ming and Jumat Sulaiman and Labiyana Hanif Ali (2022) Refinement of SOR iterative method for the linear rational finite difference solution of second-order Fredholm Integro-differential equations. Malaysian Journal of Mathematical Sciences, 16. pp. 105-117. ISSN 1823-8343 (P-ISSN) , 2289-750X (E-ISSN)

	Text FULL TEXT.pdf Restricted to Registered users only Download (1MB) \| Request a copy
	Text ABSTRACT.pdf Download (61kB)

URL: https://www.researchgate.net/profile/Elena-Gomez-4...

Abstract

The primary objective of this paper is to develop the Refinement of Successive Over-Relaxation (RSOR) method based on a three-point linear rational finite difference-quadrature discretization scheme for the numerical solution of second-order linear Fredholm integro-differential equation (FIDE). Besides, to illuminate the superior performance of the proposed method, some numerical examples are presented and solved by implementing three approaches which are the Gauss-Seidel (GS), the Successive Over-Relaxation (SOR) and the RSOR methods. Lastly, through the comparison of the results, it is verified that the RSOR method is more effective than the other two methods, especially when considering the aspects of the number of iterations and running time.

Item Type:	Article
Keyword:	Composite trapezoidal scheme , Linear rational finite difference schemes , Refinement successive over-relaxation iterative method , Second-order Fredholm integro-differential equation
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics
Department:	CENTRE > Preparation Centre for Science and Technology
Depositing User:	SAFRUDIN BIN DARUN -
Date Deposited:	27 Sep 2022 10:19
Last Modified:	27 Sep 2022 10:19
URI:	https://eprints.ums.edu.my/id/eprint/34153

Actions (login required)

View Item