M., Yaghobifar and Nik Long, Nik Mohd. Asri and K.Eshkuratov, Zainidin (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 09:35 |
| Last Modified: | 08 Nov 2012 16:26 |
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