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On Tsertvadze's difference scheme for the Kuramoto-Tsuzuki equation - MaRDI portal

On Tsertvadze's difference scheme for the Kuramoto-Tsuzuki equation (Q1301697)

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scientific article; zbMATH DE number 1334512
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On Tsertvadze's difference scheme for the Kuramoto-Tsuzuki equation
scientific article; zbMATH DE number 1334512

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    On Tsertvadze's difference scheme for the Kuramoto-Tsuzuki equation (English)
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    12 September 1999
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    Second-order convergence in the supremum norm is shown for the difference scheme of Tsertvadze applied to the Kuramoto-Tsuzuki equation. Problems of existence and uniqueness as well as the iterative solution algorithm are discussed. For the inhomogeneous equation a linearized difference scheme is constructed and analyzed. A numerical example concludes the paper.
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    Tsetvadze's difference scheme
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    Kuramoto-Tsuzuki equation
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    finite difference methods
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    numerical example
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