Numerical solution of FIE of the second kind with cauchy kernel

Citation

Eshkuvatov, Zainidin K. and Mahiub, Mohammad Abdulkawi and Nik Long, Nik Mohd Asri (2011) Numerical solution of FIE of the second kind with cauchy kernel. In: 5th International Conference on Research and Education in Mathematics (ICREM5), 22-24 Oct. 2011, Bandung, Indonesia. (pp. 230-233).

Abstract

In this paper, we present numerical method for solving the Fredholm Integral Equation of the second kind with Cauchy kernel. The weighted Chebyshev polynomials of the second kind are used to approximate the unknown function. Inconstant coefficients are approximated by Chebyshev polynomials of the first kind. Special type of regular integrals are computed analytically. Finally, numerical results show the exactness and accuracy of the numerical method presented.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Faculty of Science Institute for Mathematical Research
DOI Number:	https://doi.org/10.1063/1.4724145
Publisher:	American Institute of Physics
Notes:	Full text are available at Special Collection Division Office.
Keywords:	Integral equations; Cauchy singular kernel; Approximation; Chebyshev polynomials
Depositing User:	Erni Suraya Abdul Aziz
Date Deposited:	07 May 2014 00:33
Last Modified:	08 Sep 2017 03:56
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4724145
URI:	http://psasir.upm.edu.my/id/eprint/27707
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