Numerical-Analytic Technique for the Solution of Nonstationary Problems of Heat Conduction in Locally Inhomogeneous Media

Abstract

We propose a procedure of simultaneous application of the splitting method, boundary-element method, step-by-step time scheme, and iterative FD (Finite-Discrete) procedure for the construction of the integral representation of the solution of a nonstationary problem of heat conduction for a closed domain with Dirichlet condition given on its boundary containing a locally inhomogeneous subdomain whose physical characteristics depend on the coordinates. We perform a comprehensive numerical analysis of this approach with regard for the fact that the heat field is affected by the dependences of the heatconduction coefficient and specific heat capacity of the material on the coordinates.