Sun, Zhizhong A second-order convergent difference scheme for the initial-boundary value problem of the superthermal electron transport equation. (English) Zbl 0898.65101 J. Nanjing Univ., Math. Biq. 13, No. 1, 14-22 (1996). 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 Keywords:integro-partial differential equation; superthermal electron transport equation; degenerate; second-order difference scheme; stability; convergence; numerical example PDFBibTeX XMLCite \textit{Z. Sun}, J. Nanjing Univ., Math. Biq. 13, No. 1, 14--22 (1996; Zbl 0898.65101)