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

FERNÁNDEZ, FRANCISCO M.

PHYSICS LETTERS A

ELSEVIER SCIENCE BV

Año: 2021 vol. 406

0375-9601

We show that the differential transform is the well known Taylor series (contrary to what the authorsclaim) and that the differential transform method (DTM) is the well known Frobenius method, commonlyused 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 Frobeniusmethod. We argue that the particular solutions to the differential-difference nonlinear equations are ofscarce utility because the initial conditions are not flexible enough for practical physical applications.