Numerical solutions for linear Fredholm integral equations of the second kind using 2-point half-sweep explicit group method

Jumat Sulaiman, and Ching, Dennis Ling Chuan and Guan, Beh hoe and Muthuvalu, Mohana Sundaram, (2014) Numerical solutions for linear Fredholm integral equations of the second kind using 2-point half-sweep explicit group method. AIP Conference Proceedings, 1602. pp. 186-191. ISSN 0094243X

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Abstract

In this paper, performance of the 2-Point Half-Sweep Explicit Group (2-HSEG) iterative method with first order composite closed Newton-Cotes quadrature scheme for solving second kind linear Fredholm integral equations is investigated. The formulation and implementation of the method are described. Furthermore, numerical results of test problems are also presented to verify the performance of the method compared to 2-Point Full-Sweep Explicit Group (2-FSEG) method. From the numerical results obtained, it is noticeable that the 2-HSEG method is superior to 2-FSEG method, especially in terms of computational time.

Item Type: Article
Uncontrolled Keywords: Composite closed newton-cotes scheme; Explicit group method; Half-sweep iteration; Linear fredholm integral equations
Subjects: Q Science > QA Mathematics
Divisions: FACULTY > Faculty of Business, Economics and Accounting
Depositing User: Unnamed user with email storage.bpmlib@ums.edu.my
Date Deposited: 17 Mar 2015 06:39
Last Modified: 12 Oct 2017 03:01
URI: http://eprints.ums.edu.my/id/eprint/10660

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