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Direct numerical method for solving a class of fourth-order partial differential equation


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
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