Quarter-Sweep Iteration Concept on Conjugate Gradient Normal Residual Method via Second Order Quadrature-Finite Difference Schemes for Solving Fredholm Integro-Differential

Elayaraja Aruchunan, and Mohana Sundaram Muthuvalu, and Jumat Sulaiman, (2015) Quarter-Sweep Iteration Concept on Conjugate Gradient Normal Residual Method via Second Order Quadrature-Finite Difference Schemes for Solving Fredholm Integro-Differential. Sains Malaysiana, 44 (1). pp. 139-146. ISSN 0126-6039

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Abstract

In this paper, we have examined the effectiveness of the quarter-sweep iteration concept on conjugate gradient normal residual (CGNR) iterative method by using composite Simpson’s (CS) and finite difference (FD) discretization schemes in solving Fredholm integro-differential equations. For comparison purposes, Gauss- Seidel (GS) and the standard or full- and half-sweep CGNR methods namely FSCGNR and HSCGNR are also presented. To validate the efficacy of the proposed method, several analyses were carried out such as computational complexity and percentage reduction on the proposed and existing methods.

Item Type: Article
Uncontrolled Keywords: Conjugate gradients normal residual method , linear Fredholm integro-differential equations , quarter-sweep iteratio
Subjects: Q Science > QC Physics
Divisions: FACULTY > Faculty of Science and Natural Resources
Depositing User: Noraini
Date Deposited: 05 Mar 2019 04:10
Last Modified: 05 Mar 2019 04:10
URI: http://eprints.ums.edu.my/id/eprint/21429

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