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A COMPUTATIONAL METHOD FOR SOLVING TWO-DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND

Part of: Integral equations, integral transforms

Published online by Cambridge University Press:  01 April 2008

A. TARI  and
S. SHAHMORAD
A. TARI*
Affiliation:
Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran (email: tari@tabrizu.ac.ir) Department of Mathematics, University of Shahed, Tehran, Iran (email: tari@shahed.ac.ir)
S. SHAHMORAD
Affiliation:
Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran (email: shahmorad@tabrizu.ac.ir)
*
✉For correspondence; e-mail: tari@tabrizu.ac.ir
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Abstract

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In this paper an expansion method, based on Legendre or any orthogonal polynomials, is developed to find numerical solutions of two-dimensional linear Fredholm integral equations. We estimate the error of the method, and present some numerical examples to demonstrate the accuracy of the method.

Keywords

two-dimensional linear Fredholm integral equationsorthogonal polynomials

MSC classification

Secondary: 65R20: Integral equations
Type
Research Article
Information
The ANZIAM Journal , Volume 49 , Issue 4 , April 2008 , pp. 543 - 549
Copyright
Copyright © Australian Mathematical Society 2008

References

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