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Volume 41, Issue 3-4
27 April 2012
Kybernetes Cover Image for Volume 41, Issue 3-4
Research Article| April 27 2012

Convergence of sinc approximation for Fredholm integral equation with degenerate kernel Available to Purchase

K. Maleknejad;
K. Maleknejad
School of Mathematics, Iran University of Science & Technology Narmak, Tehran, Iran
K. Maleknejad can be contacted at: maleknejad@iust.ac.ir
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M. Alizadeh;
M. Alizadeh
Department of Mathematics, Faculty of Science, Islamic Azad University, Karaj Branch, Karaj, Iran
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R. Mollapourasl
R. Mollapourasl
Department of Mathematics, Shahid Rajaee Teacher Training University (SRTTU), Tehran, Iran
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Author & Article Information
K. Maleknejad can be contacted at: maleknejad@iust.ac.ir
Publisher: Emerald Publishing
Online ISSN: 1758-7883
Print ISSN: 0368-492X
© Emerald Group Publishing Limited
2012
Kybernetes (2012) 41 (3-4): 482–490.
https://doi.org/10.1108/03684921211229532
Purpose

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

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

Findings

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

Originality/value

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

Keywords:
Mathematics, Integral equations, Integral equation of the first kind, Collocation method, Sinc approximation, Clenshaw‐Curtis quadrature
© Emerald Group Publishing Limited
2012
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