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

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. F...

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Bibliographic Details
Main Authors: Mohana Sundaram Muthuvalu, Sarat Dass, Beh, Hoe Guan, Jumat Sulaiman
Format: Conference or Workshop Item
Language:English
Published: 2014
Subjects:
Online Access:http://eprints.ums.edu.my/20677/
http://eprints.ums.edu.my/20677/
http://eprints.ums.edu.my/20677/1/Numerical%20solutions%20of%20first%20kind%20Linear%20Fredholm%20Integral%20Equations%20using%20quarter.pdf
Description
Summary: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.