Identification of the diagonal element to accelerate iterations in estimating the heat transfer in kinetic approximation

The paper examines modifications of an algorithm identifying the diagonal element for an iterative solution of implicit finite-difference equations approximating the nonlinear system of non-stationary differential equations consisting of the spectral integral-difference kinetic equation of the transfer of photons and the energy equation. Research is performed on the St scheme in plane geometry. Theoretical estimates of the convergence rate of the iterations and an example of the test problem are presented.