Error analysis of an implicit spectral scheme applied to the Schrödinger-Benjamin-Ono system (Q341228)
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scientific article; zbMATH DE number 6653342
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Error analysis of an implicit spectral scheme applied to the Schrödinger-Benjamin-Ono system |
scientific article; zbMATH DE number 6653342 |
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Error analysis of an implicit spectral scheme applied to the Schrödinger-Benjamin-Ono system (English)
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16 November 2016
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Summary: We develop error estimates of the semidiscrete and fully discrete formulations of a Fourier-Galerkin numerical scheme to approximate solutions of a coupled nonlinear Schrödinger-Benjamin-Ono system that describes the motion of two fluids with different densities under capillary-gravity waves in a deep water regime. The accuracy of the numerical solver is checked using some exact travelling wave solutions of the system.
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error estimates
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semidiscrete
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fully discrete
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Fourier-Galerkin numerical scheme
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coupled nonlinear Schrödinger-Benjamin-Ono system
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deep water
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capillary-gravity waves
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travelling wave solutions
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0.92945135
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0.88833153
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0.8826765
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0.8732939
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0.87303126
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0.8703718
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