An efficient numerical method for solving the Korteweg-de Vries equation in a class of discontinuous functions (Q1294203)
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scientific article; zbMATH DE number 1311028
| Language | Label | Description | Also known as |
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| English | An efficient numerical method for solving the Korteweg-de Vries equation in a class of discontinuous functions |
scientific article; zbMATH DE number 1311028 |
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An efficient numerical method for solving the Korteweg-de Vries equation in a class of discontinuous functions (English)
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20 March 2000
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To obtain a weak solution of the Korteveg-de Vries equation, an auxiliary initial value problem is formulated and discretized using a finite difference scheme. The resulting method is shown to be conservative. Numerical examples with initial data ranging from smooth to piecewise continuous functions are presented.
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Korteveg-deVries equation
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weak solution
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difference scheme
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numerical examples
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