Group Method Analysis of the Potential Equation in Triangular Regions

نویسنده

  • Y. Z. BOUTROS
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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تاریخ انتشار 1997