LAUSR

We propose a method for the determination of temperature fields in a half space with regard for the thermal radiation, temperature dependence of the thermal characteristics, densities of the surface and volume heat sources in the case of nonuniform distribution of the initial temperature. By using the Kirchhoff transformation, Green function, and linear splines, the corresponding problems of heat conduction are reduced to the solution of a recurrent system of nonlinear algebraic equations. We also present examples of numerical analyses.