Abstract:
We introduce the reduced Hahn differential transform method (RHDTM). This method can be symbolized as a reduced $q,\omega$-differential transform method (R$q$, $\omega$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.
