Convergence of an \(O(h^4)\) scheme applied to a semi-linear parabolic equation (Q467945)
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scientific article; zbMATH DE number 6366042
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of an \(O(h^4)\) scheme applied to a semi-linear parabolic equation |
scientific article; zbMATH DE number 6366042 |
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Convergence of an \(O(h^4)\) scheme applied to a semi-linear parabolic equation (English)
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5 November 2014
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The paper deals with the numerical solution of a semi-linear parabolic equation on a unit square with the aid of a fourth-order finite difference method. Applying the maximum principle the order of convergence is proved. The paper contains also a Mathematica code and numerical experiments. The presented results are more or less standard.
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semi-linear parabolic equation
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finite diffference method
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order of convergence
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maximum principle
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numerical experiment
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0.9022175
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0.90045476
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0.8958474
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0.88316685
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0.8813381
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0.87955934
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