Relation between the time and space step-sizes in nonstandard finite-difference schemes for the Fisher equation (Q2785813)
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scientific article; zbMATH DE number 982507
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relation between the time and space step-sizes in nonstandard finite-difference schemes for the Fisher equation |
scientific article; zbMATH DE number 982507 |
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23 October 1997
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stepsize control
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finite difference scheme
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Fisher equation
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Relation between the time and space step-sizes in nonstandard finite-difference schemes for the Fisher equation (English)
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A nonstandard finite difference scheme for the Fisher equation, with a positivity condition imposed on the solutions, is shown to lead to restrictions on the time stepsize once the space stepsize is selected. For a particular stepsize functional relation, it is proven that the solution to the difference equation has the same upper bound as the solution to the partial differential equation.
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