Citation
Zulkarnain, F. S. and Eshkuvatov, Zainidin K. and Nik Long, Nik Mohd Asri and Ismail, Fudziah
(2016)
Modified homotopy perturbation method for solving hypersingular integral equations of the second kind.
In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-6).
Abstract
Modified homotopy perturbation method (HPM) is used to solve the hypersingular integral equations (HSIEs) of the second kind on the interval [-1, 1] with the assumption that the kernel in the form K(x, t)(x-t)-c0 where K(x, t) is a constant on the diagonal of the domain. This method introduced selective functions as Chebyshev polynomials of second kind and unknown parameters that leads to two step iterations and gives exact solution. Example are presented to prove the efficiency and realiability of the method.
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Official URL or Download Paper: http://aip.scitation.org/doi/abs/10.1063/1.4952507
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4952507 |
| Publisher: | AIP Publishing |
| Keywords: | Homotopy perturbation method; Hypersingular integral equation |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 08 Sep 2017 05:30 |
| Last Modified: | 08 Sep 2017 05:30 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952507 |
| URI: | http://psasir.upm.edu.my/id/eprint/57170 |
| Statistic Details: | View Download Statistic |
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