Citation
Hussain, Kasim Abbas and Ismail, Fudziah and Senu, Norazak
(2016)
Direct numerical method for solving a class of fourth-order partial differential equation.
Global Journal of Pure and Applied Mathematics, 12 (2).
pp. 1257-1272.
ISSN 0973-1768; ESSN: 0973-9750
Abstract
In this paper, we classified a class of fourth-order partial differential equations (PDEs) to be fourth-order PDE of type I, II, III and IV. The PDE of type IV is solved by using an efficient numerical method. The PDE is first transformed to a system of fourth-order ordinary differential equations (ODEs) using the method of lines, then the resulting system of fourth-order ODEs is solved using direct Runge-Kutta method (RKFD). The RKFD method is constructed purposely for solving special fourth-order ODEs. Numerical results demonstrated that the RKFD method is in good agreement with the exact solutions.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| Publisher: | Research India Publications |
| Keywords: | RKFD method; System of fourth-order ODEs; Fourth-order PDEs; Method of lines |
| Depositing User: | Mohd Hafiz Che Mahasan |
| Date Deposited: | 13 Sep 2017 02:27 |
| Last Modified: | 13 Sep 2017 02:27 |
| URI: | http://psasir.upm.edu.my/id/eprint/55534 |
| Statistic Details: | View Download Statistic |
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