Finite difference approximate solutions for a mixed sub-superlinear equation (Q883912)
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scientific article; zbMATH DE number 5163780
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite difference approximate solutions for a mixed sub-superlinear equation |
scientific article; zbMATH DE number 5163780 |
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Finite difference approximate solutions for a mixed sub-superlinear equation (English)
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12 June 2007
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The authors discuss a finite difference scheme with three time levels for a reaction-diffusion equation, in which the reaction term is a sum of concave and convex components. The diffusion terms are approximated with Crank-Nicolson differences at the first and third time levels, and the reaction term is evaluated at the intermediate level. An energy argument is used to prove stability of the method.
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reaction-diffusion equations
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finite difference scheme
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Brezis-Nirenberg problem
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parabolic problems
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error estimates
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Crank-Nicolson method
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stability
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