Difference scheme for the Vlasov-Manev system (Q1291221)
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scientific article; zbMATH DE number 1295630
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Difference scheme for the Vlasov-Manev system |
scientific article; zbMATH DE number 1295630 |
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Difference scheme for the Vlasov-Manev system (English)
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6 June 1999
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At first, the Vlasov-Manev equation is described and its properties are summarized. Then, the authors derive a finite difference scheme for the Vlasov-Manev equation in one space and one velocity dimension. Properties of this finite difference scheme are formulated and proved, e.g. the existence of the solution of the finite difference scheme, the mass conservation of this scheme, and the stability in the discrete maximum norm with respect to the initial data. Finally, some numerical experiments are presented.
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Vlasov-Manev system
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finite difference methods
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stability
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numerical examples
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0.7653064131736755
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0.764374315738678
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0.7643199563026428
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0.7627070546150208
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