Solution of a class of three-dimensional boundary value problems of the theory of heat conduction

We consider a class of connected three-dimensional boundary-value problems for the quasi-linear heat equation that model the temperature fields in molds under a continuous cyclic molding of flat castings. We propose a method of approximate solution. The results of the computations are shown as the dependence of the dimensionless temperature on the time throughout ten cycles.Translated fromVychislitel'naya i Prikladnaya Matematika, Issue 71, 1990, pp. 84–90.