Stability and asymptotic behavior of a numerical solution corresponding to a diffusion-reaction equation solved by a finite difference scheme (Crank-Nicolson) (Q922656)
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scientific article; zbMATH DE number 4170003
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability and asymptotic behavior of a numerical solution corresponding to a diffusion-reaction equation solved by a finite difference scheme (Crank-Nicolson) |
scientific article; zbMATH DE number 4170003 |
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Stability and asymptotic behavior of a numerical solution corresponding to a diffusion-reaction equation solved by a finite difference scheme (Crank-Nicolson) (English)
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1990
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The paper deals with the numerical treatment of some nonlinear partial differential equations arising in specific problems of biochemistry. The equations are solved by the well-known Crank-Nicolson procedure of finite differences. The authors give a proof of convergence and examine stability and asymptotic behaviour. A numerical algorithm being accepted to applications in biochemistry is deduced.
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nonlinear partial differential equations
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biochemistry
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Crank-Nicolson procedure
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finite differences
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convergence
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stability
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asymptotic behaviour
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numerical algorithm
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