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Convergence of sinc approximation for Fredholm integral equation with degenerate kernel

K. Maleknejad (School of Mathematics, Iran University of Science & Technology Narmak, Tehran, Iran)
M. Alizadeh (Department of Mathematics, Faculty of Science, Islamic Azad University, Karaj Branch, Karaj, Iran)
R. Mollapourasl (Department of Mathematics, Shahid Rajaee Teacher Training University (SRTTU), Tehran, Iran)

Kybernetes

ISSN: 0368-492X

Article publication date: 27 April 2012

148

Abstract

Purpose

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The purpose of this paper is to discuss a numerical method for solving Fredholm integral equations of the first kind with degenerate kernels and convergence of this numerical method.

Design/methodology/approach

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By using sinc collocation method in strip, the authors try to estimate a numerical solution for this kind of integral equation.

Findings

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Some numerical results support the accuracy and efficiency of the stated method.

Originality/value

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The paper presents a method for solving first kind integral equations which are ill‐posed.

Keywords

Citation

Maleknejad, K., Alizadeh, M. and Mollapourasl, R. (2012), "Convergence of sinc approximation for Fredholm integral equation with degenerate kernel", Kybernetes, Vol. 41 No. 3/4, pp. 482-490. https://doi.org/10.1108/03684921211229532

Publisher

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Emerald Group Publishing Limited

Copyright © 2012, Emerald Group Publishing Limited

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