Analytic solutions of a two-dimensional rectangular heat equation

作者:Srivastava H M*; Kung K Y; Wang K J
来源:Russian Journal of Mathematical Physics, 2007, 14(1): 115-119.
DOI:10.1134/S1061920807010086

摘要

Analytical solutions of a two-dimensional heat equation are obtained by the method of separation of variables. In the analysis presented here, the partial differential equation is directly transformed into a set of ordinary differential equations. The closed-form transient temperature distributions and heat transfer rates are generalized to a linear combination of the products of Fourier-Bessel series of the exponential type.

  • 出版日期2007-3