Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (4): 373-378.

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SPECTRAL METHOD IN TIME FOR KdV EQUATIONS

Wu Shengchang, Liu Xiaoqing   

  1. Institute of Applied Mathematics, Academia Sinica; Laboratory of Management Decison andInformation Systems, Academia Sinica, Beijing 100080, P. R. China
  • Received:1995-02-22 Online:1996-04-18 Published:1996-04-18

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 funictional.Rapid convergence of the method is proved.

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