Numerical solutions of second kind Fredholm integral equations using Half-Sweep Geometric Mean method

Mohana Sundaram, Muthuvalu and Jumat Sulaiman (2008) Numerical solutions of second kind Fredholm integral equations using Half-Sweep Geometric Mean method. In: International Symposium on Information Technology 2008 (ITSim), 26-29 August 2008, Kuala Lumpur, Malaysia.

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Abstract

In this paper, numerical solution of the dense linear systems that arise from the linear second kind Fredholm integral equation was studied. The Half-Sweep Geometric Mean (HSGM) iterative method is applied to solve linear systems generated from discretization of the linear Fredholm integral equations of the second kind using repeated trapezoidal (RT) and modified repeated trapezoidal (RMT) schemes. In addition, the formulation and implementation of the Full-Sweep Geometric Mean (FSGM) and HSGM methods are also presented. Some illustrative examples are given to demonstrate the efficiency of the proposed method. © 2008 IEEE.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Uncontrolled Keywords: Computational fluid dynamics, Information technology, Integral equations, Linear systems, Discretization, Geometric mean methods, Geometric means, Illustrative examples, Linear fredholm integral equations, Numerical solutions, Second kind Fredholm integral equations
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics > QA150-272.5 Algebra
Divisions: SCHOOL > School of Science and Technology
Depositing User: ADMIN ADMIN
Date Deposited: 24 Mar 2011 11:28
Last Modified: 30 Dec 2014 14:49
URI: http://eprints.ums.edu.my/id/eprint/1632

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