Solution of Rational Difference Equations by Applying the Differential Transform Method

Abstract

In recent years, much consideration has been devoted to the newly developed methods to construct analytic solutions of non-linear difference equations. One of these reliable methods is the Differential Transform Method DTM which has been used extensively to solve different types of linear and non-linear problems. In this paper, we explore the potential of using the DTM to solve rational difference equations and identify new open problems and conjectures of this kind.