Using the Reduced Differential Transform Method to Solve Nonlinear PDEs Arises in Biology and Physics
نویسنده
چکیده
Submitted: May 27, 2013; Accepted: Jul 5, 2013; Published: Jul 22, 2013 Abstract: In this paper, we present an algorithm called the Reduced Differential Transform Method (RDTM) to obtain approximate solutions for the Fitzhugh-Nagumo (FN) equation, Ito equation and find an exact solution to nonlinear PDE. The numerical results show that this method is a powerful tool for solving nonlinear PDEs and the results show that the method reduces the numerical calculations. Also, the approximate solutions we present in this paper reveals that the proposed method is very effective, simple and can be applied to other nonlinear partial differential equations (NLPDEs) models in the area of Biology, population genetics, Physics and Engineering.
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