Numerical solvation of equations, describing the transfer of heat by electrons and ions

Solving the great variety of tasks the one of the most significant processes is a transfer of heat. For mathematical description of this process mostly the law of Fourier (diffusive approaching) is used. This approaching is limited with small temperature gradients. The simplest and widespread enough model is the modification of diffusive stream either by limiting with the maximally possible stream or applying the method of the nonlocal approaching for description of a heat transfer. At the nonlocal approaching a stream takes into account the influence of all points of the system on this point by means of kernel depending on optical properties of the system.
A few approaching is in-process considered, the results of calculations are compared, positive and negative descriptions of the examined approaching are analyzed, the optimal approaching is chosen both from the point of view of exactness and to counting time.