Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method

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Original languageEnglish
Pages (from-to)513-534
Journal / PublicationNumerical Methods for Partial Differential Equations
Issue number6
Online published2 Oct 2000
Publication statusPublished - Nov 2000


A Legendre pseudo-spectral method is proposed for the Korteweg-de Vries equation with nonperiodic boundary conditions. Appropriate base functions are chosen to get an efficient algorithm. Error analysis is given for both semi-discrete and fully discrete schemes. The numerical results confirm to the theoretical analysis. © (2000) John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 16: 513-534, (2000).

Research Area(s)

  • Korteweg-de Vries equation, Legendre pseudo-spectral method