Nonnormality effects in a discretised nonlinear reaction-convection-diffusion equation (Q1913760)
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scientific article; zbMATH DE number 881889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonnormality effects in a discretised nonlinear reaction-convection-diffusion equation |
scientific article; zbMATH DE number 881889 |
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Nonnormality effects in a discretised nonlinear reaction-convection-diffusion equation (English)
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2 July 1996
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The main theme of this paper is to investigate for a discretized one-dimensional nonlinear reaction-convection-diffusion equation the problem that the long-time numerical solution may fail to converge to the true steady state and may, instead, diverge, or settle down to a spurious value. The aim of the authors is to look at the effect of a convection term on the existence and stability of the true fixed point and of the spurious fixed point.
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long-time dynamics
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basin of attraction
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pseudo-eigenvalues
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periodic solutions
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finite difference method
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nonlinear reaction-convection-diffusion equation
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stability
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fixed point
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