Abstract:
Depending on the body geometry and on the types of internal source and external boundary heat loadings, a space is found for the heat equation, in which a high accuracy of representing a multidimensional temperature field by a single component is attained. An application of the developed analytical-numerical algorithm to solutions of hyperbolic heat equations is given, for which the synthesis of the sought temperature leads to the sum of terms of responses of simple inertial-wave or wave links.