Stability with respect to the input data and monotonicity of an implicit finite-difference scheme for a quasilinear parabolic equation (Q425243)
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scientific article; zbMATH DE number 6043399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability with respect to the input data and monotonicity of an implicit finite-difference scheme for a quasilinear parabolic equation |
scientific article; zbMATH DE number 6043399 |
Statements
Stability with respect to the input data and monotonicity of an implicit finite-difference scheme for a quasilinear parabolic equation (English)
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7 June 2012
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Stability and monotonicity of a conservative finite difference scheme approximating an initial-boundary value problem for a quasilinear equation are analysed. Special conditions are imposed on the input data. A priori estimates are given and it is shown that according to the properties of the input data higher derivatives may blow up in finite time.
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finite difference method
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conservative discretisations
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parabolic problem
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quasilinear equations
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error estimates
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stability
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monotonicity
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initial-boundary value problem
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