The expansion approach for solving cauchy integral equation of the first kind

Yaghobifar, Mohammad and Nik Long, Nik Mohd Asri and Eshkuratov, Zainidin K. (2010) The expansion approach for solving cauchy integral equation of the first kind. Applied Mathematical Sciences, 4 (52). pp. 2581-2586. ISSN 1312-885X

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Abstract

In this paper we expand the kernel of Cauchy integral equation of first kind as a series of Chebyshev polynomials of the second kind times some unknown functions. These unknown functions are determined by applying the orthogonality of the Chebyshev polynomial. Whereas the unknown function in the integral is expanded using Chebyshev polynomials of the first kind with some unknown coefficients. These two expansions in the integral can be simplified by the used of the property of orthogonality. The advantage of this approach is that the unknown coefficients are stability computed.

Item Type:Article
Keyword:Cauchy integral equation; Chebyshev polynomials; Galerkin method; Kernel expansion; Function expansion
Subject:Cauchy integral formula
Subject:Integral equations
Subject:Mathematical physics
Faculty or Institute:Faculty of Science
Publisher:Hikari Ltd
ID Code:17160
Deposited By: Najwani Amir Sariffudin
Deposited On:27 Jun 2012 01:35
Last Modified:22 Sep 2014 13:01

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