A new conservative finite difference scheme for the Rosenau equation (Q945208)
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scientific article; zbMATH DE number 5342796
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new conservative finite difference scheme for the Rosenau equation |
scientific article; zbMATH DE number 5342796 |
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A new conservative finite difference scheme for the Rosenau equation (English)
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12 September 2008
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The authors propose a three-level conservative finite difference scheme for the KdV like Rosenau equation \(u_{t}+u_{xxxxt}+u_{x}+uu_{x}=0\). The unique solvability of numerical solutions is shown. Error estimates of second order, convergence and stability of the difference scheme are proved.
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finite difference scheme
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conservation
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solvability
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convergence
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stability
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Korteweg-de Vries like Rosenau equation
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error estimates
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0.97586125
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0.9551199
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0.95043015
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0.94243073
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0.93977165
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