A spectral method for the equal width equation (Q1913819)
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scientific article; zbMATH DE number 881925
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A spectral method for the equal width equation |
scientific article; zbMATH DE number 881925 |
Statements
A spectral method for the equal width equation (English)
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2 July 1996
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A spectral discretization of the equal width equation (EWE) is presented. The method is shown to be convergent and nonlinearly stable. Time-stepping is performed with high-order Adams methods. The spectral accuracy of the scheme reveals some features of the EWE that the methods previously used could not bare out properly. For instance, one may now study the changes in aptitude and velocity of solitary waves after collisions.
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spectral method
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convergence
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nonlinear stability
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equal width equation
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high-order Adams methods
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solitary waves after collisions
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