Numerical expansion methods for solving systems of linear integral equations using interpolation and quadrature rules

Authors:
Elçin Yusufoğlu
Affiliations:
Department of Mathematics, Faculty of Science, Dumlupinar University, Kütahya, Turkey
Venue:
International Journal of Computer Mathematics
Year:
2007

Citing 5
Cited 1

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Computational methods for integral equations
A reliable technique for solving the weakly singular second-kind Volterra-type integral equations

Applied Mathematics and Computation
A reliable modification of Adomian decomposition method

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A reliable treatment for mixed Volterra-Fredholm integral equations

Applied Mathematics and Computation
Solution of a system of Volterra integral equations of the first kind by Adomian method

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Numerical solutions of systems of linear Fredholm integro-differential equations with Bessel polynomial bases

Computers & Mathematics with Applications

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Abstract

In this paper we introduce a numerical method for solving a system of linear integral equations. The main idea is based on the interpolations of unknown functions at some interpolation points chosen in advance. We then use Clenshaw-Curtis quadrature formulae to approximate the integrals appearing in the system of equations. The technique is very effective and simple, and the performance of this suggested method is illustrated by means of a few significant examples.