The kinetic equation for relativistic electrons in gas and self-consistent electromagnetic field is considered. The approximate solution in the form of δ – substitution is constructed. The approximation consists in follows. The spatially uniform kinetic equation is considered for electrons, essentially deviated from trajectory, movement equations in self-consistent electromagnetic field determined by. The structure of solution substantiates the applicability of particles method for mathematical modeling the electron’s flux, in spite of collisions. The estimation of approximate solution accuracy, which shows it’s applicability for wide class of problems of relativistic electron’s beams simulation, is constructed.

Mathematical modelling in actual problems of science and technics