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A second-order convergent difference scheme for the initial-boundary value problem of the superthermal electron transport equation. (English) Zbl 0898.65101

Summary: The superthermal electron transport equation is a degenerate and non-local evolutionary equation. A second-order difference scheme is constructed for the numerical solution. The solvability, stability and convergence are analyzed. At last, a numerical example is presented.

MSC:

65R20 Numerical methods for integral equations
82C70 Transport processes in time-dependent statistical mechanics
45K05 Integro-partial differential equations
78A35 Motion of charged particles
81V10 Electromagnetic interaction; quantum electrodynamics
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