On the arbitrary difference precise integration method and its numerical stability (Q1307974)
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scientific article; zbMATH DE number 1360917
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the arbitrary difference precise integration method and its numerical stability |
scientific article; zbMATH DE number 1360917 |
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On the arbitrary difference precise integration method and its numerical stability (English)
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20 July 2000
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The one-dimensional heat equation is considered. By discretizing the spatial derivatives, the resulting difference equations are considered as a set of ordinary differential equations; they are integrated over either one or two time stepping intervals. It is shown that the first and second order schemes obtained in such a way are unconditionally stable. An example illustrating the solution accuracy is presented.
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heat equation
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difference schemes
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stability
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numerical example
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