The problem of an electron beam and plasma interaction, arising from the GOL-3 (BINP SB RAS) experiments, is considered. For the given problem, it is appropriate to use the collisionless plasma approach, described by a set of the Vlasov–Maxwell equations. The Vlasov equation is calculated via the particle-in-cell method. To find the electric and the magnetic fields, the Langdon–Lasinski scheme, in which fields are determined from difference approximations from the Faraday and the Ampere laws, was used. The tests made have shown that the proposed model adequately describes the plasma temperature effects.