On convergence and stability of a difference scheme for solving a nonlinear parabolic type equation system (Q1901212)
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scientific article; zbMATH DE number 813149
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On convergence and stability of a difference scheme for solving a nonlinear parabolic type equation system |
scientific article; zbMATH DE number 813149 |
Statements
On convergence and stability of a difference scheme for solving a nonlinear parabolic type equation system (English)
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7 November 1995
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The paper treats a special nonlinear parabolic initial value problem on a rectangular domain by the finite difference method. Conditional convergence of the scheme in the \(W^2_2\)-grid-norm and its stability with respect to initial data in \(W_2^1\) are proved.
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two-sided estimations
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conditional convergence
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nonlinear parabolic initial value
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finite difference method
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stability
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0.9485802
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0.93844944
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0.9298605
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