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Solution of Linear and Nonlinear Heat Equations by Differential Transform Method

Author(s): Figen Kangalgil | Fatma Ayaz

Journal: Sel├žuk Journal of Applied Mathematics
ISSN 1302-7980

Volume: 8;
Issue: 1;
Start page: 75;
Date: 2007;
Original page

Keywords: Two-dimensional differential Transform Method | linear and nonlinear heat equations.

The differential transform method is one of the approximate methods which can be easily applied to many linear and nonlinear problems and is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. In this paper, we present the definition and operation of the two-dimensional differential transform and investigate the particular exact solutions of linear and nonlinear heat equations that usually arise in mathematical biology by two-dimensional differential transform method. The results of the present method are compared very well with those obtained by decomposition method.
RPA Switzerland

RPA Switzerland

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