Suppression of numerically induced chaos with nonstandard finite difference schemes (Q1298789)
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scientific article; zbMATH DE number 1326537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Suppression of numerically induced chaos with nonstandard finite difference schemes |
scientific article; zbMATH DE number 1326537 |
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Suppression of numerically induced chaos with nonstandard finite difference schemes (English)
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5 October 1999
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Several standard and nonstandard finite difference schemes to solve a system of three ordinary differential equations that models photoconductivity in semiconductors are presented. It has been shown that integration with a conventional fourth-order Runge-Kutta algorithm produces numerical-induced chaos. The authors present a simple nonstandard forward Euler scheme that successfully eliminates these numerical instabilities.
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numerical stability
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finite difference schemes
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system
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photoconductivity in semiconductors
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numerical-induced chaos
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forward Euler scheme
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