HYPERBOLIC HEAT-CONDUCTION EQUATION. MIXED BOUNDARY-VALUE PROBLEM
M. P. Lenyuk and K. V. Lakusta UDC 536.24.02 The integral representation of the exact solution of a mixed problem for a hyperbolic heat-conduction equation with the most general propositions within the framework of generalized thermomechanics has been obtained. The thermal state of a bounded medium with thermal effects at the boundary has been investigated numerically on a personal computer. Keywords: heat conduction, hyperbolic equation, thermomechanics, Laplace transformation, boundary-value problem. Chernovtsy Department of the National Technical University "Kharkov Polytechnic Institute," 203-A Golovnaya Str., Chernovtsy, 58018, Ukraine; email: infsystemy@rambler.ru. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 82, No. 1, pp. 170-176, January-February, 2009. Original article submitted May 3, 2007.