Spectral method in time for KdV equations (Q1914609)
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scientific article; zbMATH DE number 892240
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral method in time for KdV equations |
scientific article; zbMATH DE number 892240 |
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Spectral method in time for KdV equations (English)
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5 January 1997
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A fully special discretization method for solving Korteweg-de Vries (KdV) equations with periodic boundary conditions is presented. The time dimension is approximated by the Chebyshev pseudospectral approach and the spatial dimension uses a Fourier-Galerkin representation. The coefficients are obtained by direct minimization of an object functional and the convergence of the method is proved.
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Korteweg-de Vries equations
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Chebyshev pseudospectral method in time
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Fourier-Galerkin method in space
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convergence
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0.9170324
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0.9117469
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0.91081357
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