Group Method Analysis of the Potential Equation in Triangular Regions
نویسنده
چکیده
Abstract The group transformation theoretic approach is applied to present an analytic study of the steady state temperature distribution in a general triangular region, Ω, for given boundary conditions, along two boundaries, in a form of polynomial functions in any degree “n”, as well as the study of heat flux along the third boundary. The Laplace’s equation has been reduced to a second order linear ordinary differential equation with appropriate boundary conditions. Analytical solution has been obtained for different shapes of Ω and different boundary conditions.
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