Hyperbolic Type Approximation for the Solutions of the Hyperbolic Heat Conduction Equation in 3-D Domain

摘要

In this paper we develop mathematical models for 3-D, 2-D and 1-D hyperbolic heat equation and construct their approximated analytical solutions by the method of conservative averaging for the determination of the initial heat flux for one domain. Important is that in this paper we propose non-polynomial form of approximation function. Approximate solutions were obtained by finite difference method.