Mina B. Abd-el-Malek, Fayez H. Michael, Samy M. A. El-Mansi, "Group method analysis of two-dimensional plate in heat flux", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 589763, 14 pages, 2003. https://doi.org/10.1155/S0161171203206335
Group method analysis of two-dimensional plate in heat flux
The group transformation theoretic approach is applied to present an analytic study of the temperature distribution in a triangular plate, , placed in the field of heat flux, along one boundary, in a form of polynomial functions of any degree . 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 and different boundary conditions.
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