On the non-classical problem of thermal conduction on anisotropic layers in R 3

We propose a solution methodology for boundary problems of parabolic and hyperbolic thermal conduction on anisotropic layers in R 3. We study the wave nature of heat transfer with pulse thermal effects in bounded bodies with cavity. We compare the solutions of the parabolic and hyperbolic equations of thermal conduction and we show that the assumption on the wave nature of energy transfer is justified under the conditions for high-speed processes.