Application of the parallel-chord method to solve implicit difference equations of magnetohydrodynamics

A system of implicit difference equations of magnetohydrodynamics in a two-dimensional formulation is examined. The initial equations are linearized in such a way that a set of linear equations is obtained in increments of the node coordinates of a difference mesh. The matrix of the system is symmetric and positive definite, which enables effective methods of inversion to be used. A numerical solution of a model problem of the compression of a finite perfectly conducting plasma in a magnetic field is given as an example.