Citation
Mahiub, Mohammad Abdulkawi and Eshkuratov, Zainidin K. and Nik Long, Nik Mohd Asri
(2011)
Half-bounded numerical solution of singular integral equations with Cauchy kernel.
Journal of Mathematics and Statistics, 7 (1).
pp. 81-85.
ISSN 1549-3644
Abstract
In this study, a numerical solution for singular integral equations of the first kind with Cauchy kernel over the finite segment [-1,1] is presented. The numerical solution is bounded at x =1 and unbounded at x = -1. The numerical solution is derived by approximating the unknown density function using the weighted Chebyshev polynomials of the fourth kind. The force function is approximated by using the Chebyshev polynomials of the third kind. The exactness of the numerical solution is shown for characteristic equation when the force function is a cubic.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.3844/jmssp.2011.81.85 |
| Publisher: | Science Publications |
| Keywords: | Singular integral equations; Cauchy kernel; Chebyshev orthogonal polynomials. |
| Depositing User: | Nur Farahin Ramli |
| Date Deposited: | 27 Aug 2013 03:53 |
| Last Modified: | 19 Oct 2015 23:58 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3844/jmssp.2011.81.85 |
| URI: | http://psasir.upm.edu.my/id/eprint/24851 |
| Statistic Details: | View Download Statistic |
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