Numerical verification and comparison of error of asymptotic expansion solution of the Duffing equation (Q1029500)
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scientific article; zbMATH DE number 5577579
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical verification and comparison of error of asymptotic expansion solution of the Duffing equation |
scientific article; zbMATH DE number 5577579 |
Statements
Numerical verification and comparison of error of asymptotic expansion solution of the Duffing equation (English)
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13 July 2009
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Summary: A numerical order verification technique is applied to demonstrate that the asymptotic expansions of solutions of the Duffing equation obtained respectively by the Lindstedt-Poincaré (LP) method and the modified Lindstedt-Poincaré (MLP) method are uniformly valid for small parameter values. A numerical comparison of error shows that the MLP method is valid whereas the LP method is invalid for large parameter values.
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numerical order verification
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asymptotic expansions
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Duffing equation
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Lindstedt-Poincaré method
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numerical comparison
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nonlinear oscillation
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perturbation method
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0.96156174
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0.8687743
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0.8645725
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0.8620289
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0.86158085
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0.8583333
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