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Finite difference approximate solutions for the RLW equation - MaRDI portal

Finite difference approximate solutions for the RLW equation (Q2739054)

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scientific article; zbMATH DE number 1643400
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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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    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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