Algorithm for numerical solution of Maxwell's equations for modeling disturbances of the magnetic field by an ionized medium

The motion of an ionized medium in an external magnetic field is considered. A numerical algorithm for solving electrodynamic equations in the magnetic gas dynamics approximation has been constructed. Maxwell's equations in the quasi-static approximation are approximated on a Cartesian difference grid. The solution of difference equations is organized according to the “predictor-corrector” scheme. Algorithms are presented for the cases of ideal and non-ideal magnetic gas dynamics.