Reduced Hahn Differential Transform Method

Abstract

We introduce the reduced Hahn differential transform method (RHDTM). This method can be symbolized as a reduced q,omega-differential transform method (Rq,omega DTM). We construct the q,omega-analogs of some problems, each including a non-linear partial differential equation, Burgers' equation, and a partial-integro-differential equation, and then solve them by applying the RHDTM. Additionally, we explain the advantages of the presented method in these problems.