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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

A Note on the Numerical Solution for Fredholm Integral Equation of the Second Kind with Cauchy kernel

M. Abdulkawi, M.M.A. Nik Long and Z. K. Eshkuvatov

Abstract

Problem statement: In this study, numerical solution for the Fredholm integral equation of the second kind with Cauchy singular kernel is presented. Approach: The Chebyshev polynomials of the second kind are used to approximate the unknown function. Results: Numerical results are given to show the accuracy of the present numerical solution. Conclusion: The present numerical solution to the Fredholm integral equation of the second kind with Cauchy kernel is accurate.

Journal of Mathematics and Statistics
Volume 7 No. 1, 2011, 68-72

DOI: https://doi.org/10.3844/jmssp.2011.68.72

Submitted On: 12 November 2010 Published On: 25 March 2011

How to Cite: Abdulkawi, M., Long, M. N. & Eshkuvatov, Z. K. (2011). A Note on the Numerical Solution for Fredholm Integral Equation of the Second Kind with Cauchy kernel. Journal of Mathematics and Statistics, 7(1), 68-72. https://doi.org/10.3844/jmssp.2011.68.72

Open AccessCopyright: © 2011 M. Abdulkawi, M.M.A. Nik Long and Z. K. Eshkuvatov. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Integral equations
  • Cauchy singular kernel
  • Chebyshev polynomial approximations