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Analytic Solution for Two-Dimensional Heat Equation for an Ellipse Region

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 1)

Publication Date:

Authors : ; ;

Page : 65-70

Keywords : Heat equation Dirichlet problem elliptic function elliptic integral Green function.;

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Abstract

In this study, an altenative method is presented for the solution of two-dimensional heat equation in an ellipse region. In this method, the solution function of the problem is based on the Green, and therefore on elliptic functions. To do this, it is made use of the basic consepts associated with elliptic integrals, conformal mappings and Green functions.

Last modified: 2016-10-30 05:08:39