The completely conservative di erence schemes for the nonlinear Landau – Fokker – Planck equation
نویسنده
چکیده
Conservativity and complete conservativity of nite di erence schemes are considered in connection with the nonlinear kinetic Landau–Fokker–Planck equation. The characteristic feature of this equation is the presence of several conservation laws. Finite di erence schemes, preserving density and energy are constructed for the equation in oneand two-dimensional velocity spaces. Some general methods of constructing such schemes are formulated. The constructed di erence schemes allow us to carry out the numerical solution of the relaxation problem in a large time interval without error accumulation. An illustrative example is given. c © 1999 Elsevier Science B.V. All rights reserved.
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