Finding periodic solutions of ordinary differential equations via homotopy method (Q5917830)
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scientific article; zbMATH DE number 915887
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finding periodic solutions of ordinary differential equations via homotopy method |
scientific article; zbMATH DE number 915887 |
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Finding periodic solutions of ordinary differential equations via homotopy method (English)
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12 August 1996
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The paper deals with the existence and computation of periodic solutions of a class of ordinary differential equations. The approach is by means of a homotopy deformation from a simpler problem with a known solution and the application of a numerical continuation method. In the continuation process predictors are made using the Runge-Kutta method. Correctors with the Newton method and integration via Simpson's rule.
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homotopy methods
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periodic solutions
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numerical continuation method
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Runge-Kutta method
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Newton method
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Simpson's rule
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