Spectral analysis and computation for the Kuramoto-Sakaguchi integroparabolic equation (Q2713126)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral analysis and computation for the Kuramoto-Sakaguchi integroparabolic equation |
scientific article |
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Spectral analysis and computation for the Kuramoto-Sakaguchi integroparabolic equation (English)
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6 May 2001
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spectral method
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Kuramoto-Sakaguchi equation
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finite difference method
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nonlinear parabolic integrodifferential equation
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error analysis
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comparison
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A numerical spectral procedure is introduced to solve typical problems for the Kuramoto-Sakaguchi nonlinear parabolic integrodifferential equation. Bounds for numerical approximations of solutions are given and improved by means of an `a posteriori' error analysis. Plots are shown to illustrate the performance of the method and comparison with a finite difference approach is also made.
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