Журнал прикладной и вычислительной математики

Approximate Analytic Solution of the Heat Equation in the Cast-Mould Heterogeneous Domain by Differential Transformation Method

Abstract

Mehmet Merdan and Ahmet GökdoÄŸan

In this article, a new application of Differential Transformation Method (DTM) is presented to find exact and approximate solutions of the heat equation in the cast-mould heterogeneous domain. It is indicated that the solutions obtained by the two dimensional (DTM) are reliable, useful and effective method for decouple partial differential equations. Exact solutions can also be obtained from the known forms of the series solutions.