期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2003
卷号：2003
DOI：10.1155/S0161171203206335
出版社：Hindawi Publishing Corporation
摘要：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.
