Citation
Yaghobifar, Mohammad and Nik Long, Nik Mohd Asri and Eshkuratov, Zainidin K. and Abdul Majid, Zanariah
(2010)
Approximate solution for the Cauchy type singular integral equation using ODE approaches.
International Journal of Mathematics and Computations, 6 (M10).
pp. 7-13.
ISSN 0974-5718; ESSN: 0974-570X
Abstract
The unknown function in the Cauchy type singular integral equation is expanded using Taylor expansion at the singular point t = x. Each term in the equation is then integrated yielding a linear ordinary differential equation. It is shown that the obtained linear ODE is uniformly convergent to the Cauchy type singular integral equation. The linear nth order ODE is reduced to a system of first order ODE which is solved numerically using Euler method. Numerical examples are presented to show the accuracy and efficiency of the method.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Centre for Environment, Social and Economic Research Publications |
| Keywords: | Cauchy integral equation; Taylor expansion; Linear ODE |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 08 Jun 2015 01:38 |
| Last Modified: | 31 Oct 2019 03:31 |
| URI: | http://psasir.upm.edu.my/id/eprint/13252 |
| Statistic Details: | View Download Statistic |
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