Citation
Inc, Mustafa and Akgul, Ali and Kilicman, Adem
(2013)
Numerical solutions of the second-order one-dimensional telegraph equation based on reproducing kernel Hilbert space method.
Abstract and Applied Analysis, 2013.
art. no. 768963.
pp. 1-13.
ISSN 1085-3375; ESSN: 1687-0409
Abstract
We investigate the effectiveness of reproducing kernel method (RKM) in solving partial differential equations. We propose a reproducing kernel method for solving the telegraph equation with initial and boundary conditions based on reproducing kernel theory. Its exact solution is represented in the form of a series in reproducing kernel Hilbert space. Some numerical examples are given in order to demonstrate the accuracy of this method. The results obtained from this method are compared with the exact solutions and other methods. Results of numerical examples show that this method is simple, effective, and easy to use.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2013/768963 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Telegraph equations; Hilbert kernel method; Differential equations |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 26 Aug 2014 04:15 |
| Last Modified: | 19 Oct 2017 08:51 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/768963 |
| URI: | http://psasir.upm.edu.my/id/eprint/30199 |
| Statistic Details: | View Download Statistic |
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