Volume 5, Issue 1, February 2017, Page: 14-18
Application of the Differential Transform Method for the Nonlinear Differential Equations
Mohand M. Abdelrahim Mahgoub, Department of Mathematics, Faculty of Science & Technology, Omdurman Islamic University, Khartoum, Sudan; Mathematics Department Faculty of Sciences and Arts-Almikwah-Albaha University, Albaha, Saudi Arabia
Abdelbagy A. Alshikh, Mathematics Department Faculty of Education-Alzaeim Alazhari University, Khartoum, Sudan; Mathematics Department Faculty of Sciences and Arts-Almikwah-Albaha University, Albaha, Saudi Arabia
Received: Oct. 15, 2016;       Accepted: Oct. 28, 2016;       Published: Jan. 18, 2017
DOI: 10.11648/j.ajam.20170501.12      View  3831      Downloads  338
Abstract
This paper aims to find analytical solutions of some analytical solutions of some non-linear differential equations using a new integral transform ''Aboodh transform'' with the differential transform method. The nonlinear terms can be easily handled by the use of differential transform method. This method is more efficient and easy to handle such differential equations in comparison to other methods. The results reveal that this method is very efficient, simple and can be applied to other nonlinear problems
Keywords
Aboodh Transform, Differential Transform Method, Nonlinear Differential Equations
To cite this article
Mohand M. Abdelrahim Mahgoub, Abdelbagy A. Alshikh, Application of the Differential Transform Method for the Nonlinear Differential Equations, American Journal of Applied Mathematics. Vol. 5, No. 1, 2017, pp. 14-18. doi: 10.11648/j.ajam.20170501.12
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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