Numerical solutions of linear Fredholm Integral Equations using half-sweep arithmetic mean method

Mohana Sundaram Muthuvalu and Sarat Dass and Beh, Hoe Guan and Jumat Sulaiman (2014) Numerical solutions of linear Fredholm Integral Equations using half-sweep arithmetic mean method. In: AIP Conference Proceedings, June 2014.

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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: Conference or Workshop Item (Paper)
Keyword: 2-Point Half-Sweep Explicit Group (2-HSEG), Newton-Cotes quadrature scheme , linear Fredholm
Subjects: Q Science > QA Mathematics
Department: FACULTY > Faculty of Science and Natural Resources
Depositing User: NORAINI LABUK -
Date Deposited: 03 Aug 2018 10:57
Last Modified: 03 Aug 2018 10:57
URI: https://eprints.ums.edu.my/id/eprint/20677

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