Ramadan Group (RG) Transform Coupled with Projected Differential Transform for Solving Nonlinear Partial Differential Equations
American Journal of Mathematical and Computer Modelling
Volume 2, Issue 2, May 2017, Pages: 39-47
Received: Jan. 7, 2017;
Accepted: Jan. 20, 2017;
Published: Feb. 21, 2017
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Mohamed A. Ramadan, Mathematics Department, Faculty of Science, Menoufia University, Shebeen El-Koom, Egypt
Adel R. Hadhoud, Mathematics Department, Faculty of Science, Menoufia University, Shebeen El-Koom, Egypt
In this article a combination of integral transform method (Ramadan group transform) and projected differential transform is considered to solve partial differential equations. The method can easily be applied to many nonlinear problems and is capable of reducing the size of computational work. The fact that the suggested hybrid method solves such nonlinear partial differential equations without using He’s polynomials or Adomian’s polynomials is a clear advantage over these decomposition methods. Numerical examples are performed by this hybrid method are presented. The results reveal that the suggested method is simple and effective.
Mohamed A. Ramadan,
Adel R. Hadhoud,
Ramadan Group (RG) Transform Coupled with Projected Differential Transform for Solving Nonlinear Partial Differential Equations, American Journal of Mathematical and Computer Modelling.
Vol. 2, No. 2,
2017, pp. 39-47.
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