Obtaining solutions of hyperbolic heat conduction equations with boundary conditions of third kind
The exact analytical solution of the hyperbolic heat equation for an infinite plate with symmetric boundary conditions of the third kind. It is shown, that the heating (cooling) of the plate is accompanied by the motion of the front of a thermal wave, and the study area is divided into two subfields : disturbed, where the temperature changes from its values on a wall up to the temperature at the front and undisturbed, all along keeping the initial temperature. Therefore, unlike parabolic heat equation, the speed of propagation of heat in this case turns out to be finite. For large values of the number  on the temperature curves appears from scrap,  goes to the jump of the temperature. This bends-process occurs in the field, both positive and negative temperatures.