Stabilized grid-characteristic diagram for the system of transfer radiation equations

Radiation transfer equations in the $P_{1^-}$ and diffusion approximations are modified by factors that correct the rate of radiation energy transfer. Numerical experiments have been carried out showing that such a correction can reduce the influence of nonphysical effects in calculations of radiant heat transfer in media with a nonuniform optical thickness. The improvement of the stability condition for explicit difference schemes for the corrected equations of the $P_{1}$ and diffusion models is substantiated theoretically and numerically. It is shown that in a difference grid it is permissible to take the steps in time and space in a less rigid relation than in an explicit scheme without regularization.