alexa Approximate Analytic Solution of the Heat Equation in the Cast-Mould Heterogeneous Domain by Differential Transformation Method
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Research Article

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

Mehmet Merdan* and Ahmet Gökdogan

Gümüshane University, Department of Mathematics Engineering, 29100-Gümüshane, Turkey

*Corresponding Author:
Mehmet Merdan
Gümüshane University, Department of Mathematics Engineering
29100-Gümüshane, Turkey
E-mail: [email protected]

Received March 03, 2012; Accepted May 22, 2012; Published May 25, 2012

Citation: Merdan M, Gökdogan A (2012) Approximate Analytic Solution of the Heat Equation in the Cast-Mould Heterogeneous Domain by Differential Transformation Method. J Appl Computat Math 1:111. doi: 10.4172/2168-9679.1000111

Copyright: © 2012 Merdan M. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

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.

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