Modified reduced differential transform method for solving heat-like equation

Abstract

In this study, Modified Reduced Differential Transform Method (MRDTM) is used to find approximate solutions of one dimensional heat-like equation subject to initial condition. The MRDTM basically involves the combination of Laplace pade Resummation method and RDTM. First theories, their proofs and basic properties of these procedures are given. Three test examples are given to demonstrate the validity and usefulness of the under consideration method. The result shows that this method is efficient simply applicable and has powerful effect on problems of partial differential equations.