A modified upwind difference scheme for nonlinear parabolic equations in a variable domain (Q1377179)
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scientific article; zbMATH DE number 1112214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A modified upwind difference scheme for nonlinear parabolic equations in a variable domain |
scientific article; zbMATH DE number 1112214 |
Statements
A modified upwind difference scheme for nonlinear parabolic equations in a variable domain (English)
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14 July 1998
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Nonlinear parabolic equations with a moving boundary condition are considered. In a three-dimensional variable domain a central finite difference scheme is suggested to avoid numerical dispersion and nonphysical oscillation, a so-called upwind difference scheme. Stability and error estimates in \(\ell^\infty\)-norm for the developed method are obtained.
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nonlinear parabolic equations
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stability
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moving boundary condition
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variable domain
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upwind difference scheme
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error estimates
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