$\alpha$-Parameterized Differential Transform Method

In this paper we propose a new version of differential transform method (we shall call this method as $\alpha$-parameterized differential transform method), which differs from the traditional differential transform method in calculating coefficients of Taylor polynomials. Numerical examples are presented to illustrate the efficiency and reliability of own method. The result reveal that $\alpha$-Parameterized differential transform method is a simple and effective numerical algorithm.