DOCUMENTA MATHEMATICA, Vol. 4 (1999), 179-201

R. Illner and S. Rjasanow

Difference Scheme for the Vlasov-Manev System

We develop and test a finite difference scheme for the Vlasov-Manev Equation in one space and one velocity dimension. The Manev correction to the Newtonian potential produces visible qualitative differences in the behaviour of stellar systems; the most notable effect observed in this paper is a stabilisation of the separate identities of two Maxwellian concentrations at different locations.

1991 Mathematics Subject Classification: 65N06,65N12,65N22,85A05

Keywords and Phrases: Vlasov-Manev system, Finite difference methods, stability

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