INTEGRAL TRANSFORMATIONS FOR THE GENERALIZED EQUATION OF NONSTATIONARY HEAT CONDUCTION IN A PARTIALLY BOUNDED REGION

A mathematical theory of constructing integral transforms and formulas of their inversion for the generalized equation of nonstationary heat conduction in an infi nite region, bounded from the inside by a plane, a cylindrical, or a spherical surface, and the Green′s function method have been developed. Integral relations for analytical solutions of boundary-value problems in the indicated region are proposed. Illustrative examples are considered.
   
Author:  É. M. Kartashov
Keywords:  generalized equation of nonstationary heat conduction, partially bounded region, integral transforms, inversion formulas, Green′s function method
Page:  1279