Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.

Abstract

We show that the differential transform is the well known Taylor series (contrary to what the authors claim) and that the differential transform method (DTM) is the well known Frobenius method, commonly used to obtain exact or approximate solutions to differential equations. The generalized transform method (GTM) is merely the application of Padé approximants to the Taylor series produced by the Frobenius method. We argue that the particular solutions to the differential-difference nonlinear equations are of scarce utility because the initial conditions are not flexible enough for practical physical applications.