Invariant regions and asymptotic behaviour for the numerical solution of reaction-diffusion systems by a class of alternating direction methods (Q1063405)
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scientific article; zbMATH DE number 3917632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant regions and asymptotic behaviour for the numerical solution of reaction-diffusion systems by a class of alternating direction methods |
scientific article; zbMATH DE number 3917632 |
Statements
Invariant regions and asymptotic behaviour for the numerical solution of reaction-diffusion systems by a class of alternating direction methods (English)
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1984
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The asymptotic behaviour of the numerical solution of nonlinear reaction- diffusion equations with homogeneous Dirichlet boundary conditions is studied by means of difference schemes and alternating direction methods. A finite difference approximation for the equations is derived and a very strong form of stability of the numerical solution is proved. Then, the convergence of the solution of the difference scheme is shown and a time independent error estimate is given.
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asymptotic behaviour
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nonlinear reaction-diffusion equations
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alternating direction methods
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time-independent error estimate
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