Group method analysis of two-dimensional plate in heat flux

Mina B. Abd-el-Malek, Fayez H. Michael and Samy M. A. El-Mansi

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-14

Abstract:

The group transformation theoretic approach is applied to present an analytic study of the temperature distribution in a triangular plate, Ω , placed in the field of heat flux, along one boundary, in a form of polynomial functions of any degree n . The Laplace's equation has been reduced to second-order linear ordinary differential equation with an appropriate boundary conditions. Exact solution has been obtained for general shape of Ω and different boundary conditions.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:589763

DOI: 10.1155/S0161171203206335

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