Application of finite difference scheme with exponential fitting for numerical simulation of unsteady processes in the MHD channel

The highly effective numerical algorithm is developed and tested. It allows to solve a wide class of bidimentional non-stationary problems. Mathematical modeling of the non-stationary processes proceeding in the channel linear MHD - the accelerator is lead. In full statement the bidimentional problem of magnetic hydrodynamics in view of effect of the Hall is solved. In the result of modeling the deviation current effect of a layer from a direction, perpendicular to electrodes of the accelerator is found out. The results are will qualitatively coordinated with experimental data.