Citation
Nik Long, Nik Mohd Asri and Eshkuvatov, Zainidin K. and Mahiub, Mohammad Abdulkawi
(2009)
Semi-bounded solutions of singular integral equations of Cauchy type.
International Journal of Contemporary Mathematical Sciences, 4 (22).
1059 - 1066.
ISSN 1312-7586
Abstract
In this work, semi-bounded numerical solutions of the Cauchy type singular integral equations of the first kind over the interval [−1, 1] is presented. In the integral equation, the truncated Chebyshev series of the third kind Vj and fourth kind Wj with the weight functions ω1(x) =
(1 + x)1/2(1 − x)−1/2 and ω2(x) = (1 + x)−1/2(1 − x)1/2, respectively,are used to approximate the unknown function. The exactness of the method is shown for characteristic singular integral equation when the forcing function is linear. The numerical results are given to show the
efficiency and accuracy of the method presented.
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Additional Metadata
| Item Type: |
Article
|
| Subject: |
Integral equations |
| Subject: |
Chebyshev polynomials |
| Divisions: |
Faculty of Science |
| Publisher: |
Hikari Ltd |
| Keywords: |
Integral equations; Cauchy kernel; Approximation; Chebyshev polynomials |
| Depositing User: |
Najwani Amir Sariffudin
|
| Date Deposited: |
22 Jan 2013 07:38 |
| Last Modified: |
22 Sep 2014 12:57 |
| URI: |
http://psasir.upm.edu.my/id/eprint/16664 |
| Statistic Details: |
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