Finite difference approximate solutions for the RLW equation (Q2739054)
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scientific article; zbMATH DE number 1643400
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite difference approximate solutions for the RLW equation |
scientific article; zbMATH DE number 1643400 |
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25 February 2002
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RLW equation
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Crank-Nicolson scheme
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solitary wave
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finite difference method
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comparison of methods
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regularized long wave equations
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error estimates
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0.92241603
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0.91853297
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0.9022394
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0.89711547
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0.89447594
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Finite difference approximate solutions for the RLW equation (English)
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The authors apply the Crank-Nicolson scheme to solve the regularized long wave (RLW) equations. Existence and uniqueness of the solution of the numerical scheme are proved. A priori bounds, error estimates and energy of the approximate solutions are discussed in comparison with the finite element method.
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