Аналіз процесів плазмостатики методом R-функцій та методом Ньютона–Канторовича

Abstract

This study addresses mathematical modeling of plasma equilibrium in axisymmetric configurations. The Grad–Shafranov equation is formulated for the poloidal flux function with nonlinear pressure and current profiles. Boundary conditions for typical domains are considered. The solution is constructed using the R-function method combined with the Newton-Kantorovich approach, ensuring accurate and efficient numerical analysis