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Applied Mathematics and Mechanics

, Volume 17, Issue 4, pp 373–378 | Cite as

Spectral method in time for KdV equations

  • Wu Shengchang
  • Liu Xiaoqing
Article
  • 54 Downloads

Abstract

This paper presents a fully spectral discretization method for solving KdV equations with periodic boundary conditions: Chebyshev pseudospectral approximation in the time direction and Fourier Galerkin approximation in the spatial direction. The expansion coefficients are determined by minimizing an object functional. Rapid convergence of the method is proved.

Key words

KdV equation spectral method Galerkin approximation pseudospectral approximation 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Wu Shengchang
    • 1
    • 2
  • Liu Xiaoqing
    • 1
    • 2
  1. 1.Institute of Applied MathematicsAcademic SinicaBeijingP. R. China
  2. 2.Laboratory of Management Decison and Information SystemsAcademia SinicaBeijingP. R. China

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