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A note on the numerical solution for Fredholm integral equation of the second kind with Cauchy kernel.


Citation

Mahiub, Mohammad Abdulkawi and Nik Long, Nik Mohd Asri and Eshkuratov, Zainidin 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). pp. 68-72. ISSN 1549-3644

Abstract

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


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.3844/jmssp.2011.68.72
Publisher: Science Publications
Keywords: Integral equations; Cauchy singular kernel; Chebyshev polynomial approximations.
Depositing User: Nur Farahin Ramli
Date Deposited: 27 Aug 2013 09:41
Last Modified: 20 Oct 2015 07:09
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3844/jmssp.2011.68.72
URI: http://psasir.upm.edu.my/id/eprint/24850
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