Journal of Engineering Mathematics

, Volume 5, Issue 2, pp 137–155 | Cite as

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

  • A. C. Vliegenthart


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.


Mathematical Modeling Industrial Mathematic Difference Scheme Vries Equation 
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Copyright information

© Wolters-Noordhoff Publishing 1971

Authors and Affiliations

  • A. C. Vliegenthart
    • 1
  1. 1.Department of MathematicsDelft University of TechnologyThe Netherlands

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