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Difference methods for quasilinear 2D-diffusion problems in toroidal configurations. (English) Zbl 0871.65082

The purpose of this paper is to develop difference methods for quasilinear 2D diffusion problems in toroidal configurations. This problem is of particular importance in diffusion processes of plasma physics. The method developed is demonstrated by a number of numerical experiments.

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35K55 Nonlinear parabolic equations
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
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