Reduced Differential Transform Method for Solving the Fornberg-Whitham Type Equation

Abstract

In this paper, a general framework of the reduced differential transform method (RDTM) is pre- sented for solving Fornberg-Whitham type equations. In this method, the solution is calculated in the form of convergent power series with easily computable components. Two test modeling problems from mathemat- ical physics, original and modified Fornberg-Whitham equations are discussed to illustrate the effectiveness and the performance of the proposed method. The results show that the proposed iteration technique, without linearization or small perturbation, is very effective and convenient.