One method of reception of the exact analytical decision of the hyperbolic equation of heat conductivity on the basis of use of orthogonal methods

On the basis of use of a method of separation of variables and the orthogonal method of Bubnov–Galerkin, the exact analytical solution of the hyperbolic equation of heat conductivity for an infinite plate under boundary conditions of the first sort is obtained. It is shown that heating of the body (cooling) is deter-mined by movement of the thermal shock wave on which there is a temperature jump. The front of the thermal wave divides the investigated area into two subareas splitting where the temperature changes from the wall temperature (a boundary condition of the first sort) to the temperature at the front waves and not splitting when the temperature is equal to the reference temperature.