An approach to the numerical integration of the Cauchy problem for delay differential equations (Q1395189)
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scientific article; zbMATH DE number 1940590
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An approach to the numerical integration of the Cauchy problem for delay differential equations |
scientific article; zbMATH DE number 1940590 |
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An approach to the numerical integration of the Cauchy problem for delay differential equations (English)
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29 June 2003
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The authors examine the construction of a solution (integral curve) to the Cauchy problem for a delay differential equation of neutral type from the viewpoint of the continuation method. Theoretical estimates and numerical experiments demonstrate the computational efficiency of the continuation method in the numerical integration by first- and second-order Runge-Kutta methods adapted for problems of this kind.
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Cauchy problem
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delay differential equations
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integral curve
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error bounds
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Runge-Kutta method
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continuation method
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numerical experiments
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