ЧИСЕЛЬНЕ ДОСЛІДЖЕННІ ПРОЦЕСІВ ПЛАЗМОСТАТИКИ

We considers the two-dimensional problem of plasma statics with a cylindrical geometry and a helical magnetic field. Problems of this class arise when calculating the characteristics of plasma configurations in magnetic traps. The mathematical model of the plasma statics problem under consideration is a non-linear boundary value problem for the Grad-Shafranov equation. For the numerical study of the problem, it is proposed to use successive approximations method and least squares method.