International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2568

Full Length Research Paper

Differential transform method for solving non-linear systems of partial differential equations

Raslan K. R.1 and Zain F. Abu Sheer2
1Department of Mathematics, Faculty of Science, Al-Azhar University, Egypt. 2Department of Mathematics, preparatory year, Riyadh, King Saud University, Saudi Arabia.
Email: [email protected], [email protected]

  •  Accepted: 10 October 2013
  •  Published: 16 October 2013

Abstract

The differential transform method (DTM) has been applied to solve many functional equations so far. In this paper, we propose this method (DTM), for solving nonlinear Jaulent-Miodek and the Hirota-Satsuma equation. Numerical solutions obtained by differential transform method are compared with the exact solutions and that obtained by Adomian decomposition methods. The results for some values of the variables are shown in tables and the solutions are presented as plots as well, showing the ability of the method.

Key words: Differential transform method, JaulentÙ€Miodek (JM) equation, the Hirota-Satsuma equation, numerical.

Copyright © 2024 Author(s) retain the copyright of this article.

This article is published under the terms of the Creative Commons Attribution License 4.0

Back to Vol. 8 No. 38
Back to articles
  • Articles on Google by:
SUBSCRIBE TO RSS
SUBMIT MANUSCRIPT
CONFERENCES