On the reduced differential transform method and its application to the generalized Burgers-Huxley equation

Abstract

In this paper, We apply a relatively new semi-analytic technique called the reduced differential transform method (RDTM) to solve the generalized Burger’sHuxley equation and some special cases. The definition and basic theorems in additive to new generalized transforms of RDTM are investigated. The RDTM produces an approximate solution without any discretization or perturbation and is capable of reducing the size of computations. Test problems are considered to demonstrate the accuracy and efficiency of the present method in comparison to other existing methods.