A note on the numerical solution of singular integral equations of Cauchy type

Citation

Mahiub, Mohammad Abdulkawi and Eshkuratov, Zainidin K. and Nik Long, Nik Mohd Asri (2009) A note on the numerical solution of singular integral equations of Cauchy type. International Journal of Applied Mathematics and Computer Sciences, 5 (2). pp. 90-93. ISSN 1307-6906

Abstract

This manuscript presents a method for the numerical solution of the Cauchy type singular integral equations of the first kind, over a finite segment which is bounded at the end points of the finite segment. The Chebyshev polynomials of the second kind with the corresponding weight function have been used to approximate the density function. The force function is approximated by using the Chebyshev polynomials of the first kind. It is shown that the numerical solution of characteristic singular integral equation is identical with the exact solution, when the force function is a cubic function. Moreover, it also shown that this numerical method gives exact solution for other singular integral equations with degenerate kernels.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science
Publisher:	World Academy of Science, Engineering and Technology
Keywords:	Singular integral equations; Cauchy kernel; Chebyshev polynomials; Interpolation
Depositing User:	Nurul Ainie Mokhtar
Date Deposited:	22 Jun 2015 01:50
Last Modified:	31 Oct 2019 04:16
URI:	http://psasir.upm.edu.my/id/eprint/12767
Statistic Details:	View Download Statistic

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