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On finite-difference methods for the Korteweg-de Vries equation

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Summary

The purpose of this paper is to set up and analyse difference schemes for solving the initial-value problem for the socalled Korteweg-de Vries equation. After the discussion of a difference scheme which is correctly centered in both space and time, the construction of difference schemes which implicitly contain the effect of dissipation is described.

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  1. Department of Mathematics, Delft University of Technology, The Netherlands

    A. C. Vliegenthart

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  1. A. C. Vliegenthart
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Vliegenthart, A.C. On finite-difference methods for the Korteweg-de Vries equation. J Eng Math 5, 137–155 (1971). https://doi.org/10.1007/BF01535405

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  • DOI: https://doi.org/10.1007/BF01535405

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