J4

• 数学 • Previous Articles     Next Articles

Convergence and optimal error estimation of pseudo-spectralmethod for nonlinear Boussinesq equation

YIN Li, XU Ying-xiang, HUANG Ming-you   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2003-05-30 Revised:1900-01-01 Online:2004-01-26 Published:2004-01-26
  • Contact: YIN Li

Abstract: We have studied the numerical solutions to the nonlinea r Boussinesq equation using pseudo-spectral method and proved the convergence a nd optimal convergence rate of the semi-discrete and full-discrete solutions t o the real solutions of the continous problem.

Key words: nonlinear “Good” Boussinesq equation, pseudo-spectr al method, convergence and error estimate

CLC Number: 

  • O241.82