IJPAM: Volume 95, No. 4 (2014)
HARRY DYM EQUATION USING THE FRDTM
Department of Mathematics and Statistics
Jordan University of Science and Technology
P.O. Box 3030, 22110, Irbid, JORDAN
Abstract. In this research article, a new approach based on the Fractional Reduced Differential Transform Method (FRDTM) employed to solve the nonlinear fractional Harry Dym equation. In this work we present approximate analytical solutions of the time-fractional Harry Dym equation using the FRDTM and we find exact solution of Harry Dym equation using the RDTM. The fractional derivatives are described in the Caputo sense. The FRDTM doesn't require any discretization, linearization and therefore it reduces significantly the numerical computations compare with the existing methods such as the perturbation technique, differential transform method (DTM) and the Adomian decomposition method (ADM). Also, the results we obtained in this paper are in a good agreement with the exact solutions; hence, this technique is powerful and efficient as an alternative method for finding approximate and exact solutions for nonlinear PDEs.
Received: May 7, 2014
AMS Subject Classification: 35J05, 35J10, 33E12, 33R11, 35A22
Key Words and Phrases: reduced differential transform method, Caputo fractional derivative, fractional Harry Dym equation, fractional differential equation
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DOI: 10.12732/ijpam.v95i4.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 553 - 566
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This work is licensed under the Creative Commons Attribution International License (CC BY).