The construction of numerical scheme for hyperbolic equation and exact consideration of numerical diffusion and dispersion (Q1303318)
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scientific article; zbMATH DE number 1337558
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The construction of numerical scheme for hyperbolic equation and exact consideration of numerical diffusion and dispersion |
scientific article; zbMATH DE number 1337558 |
Statements
The construction of numerical scheme for hyperbolic equation and exact consideration of numerical diffusion and dispersion (English)
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27 September 1999
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A new technique for the formulation of numerical schemes for the solution of hyperbolic equations is developed. It begins with algebraic equations having some undefined parameters. The difference equation is determined by means of Taylor-series expansion. After defining the parameters in the partial difference equation, the scheme for the considered equation can be obtained. A numerical example of the viscous Burgers equation is presented which shows the validity of the scheme.
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modified equation
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Taylor expansion
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consistency
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truncation error
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difference method
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hyperbolic equations
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numerical example
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viscous Burgers equation
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