J4

Previous Articles     Next Articles

Long Time Stability and Convergence of Fourier’s Pseudospectral Method for Sobo lev Equation

FENG Li-xin1,2,3   

  1. 1. Department of Mathematics, Heilongjiang University, Harbin 150080, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China;3. College of Mathematics, Peking University, Beijing 100871, China
  • Received:2003-02-25 Revised:1900-01-01 Online:2003-10-26 Published:2003-10-26
  • Contact: FENG Li-xin

Abstract: In this paper is considered the long time behavior for Sobolev equation in single space variable. We have constructed semi-discrete a nd full-discrete pseudospectral approximation and obtained uniform optimal error estimates in time interval 0≤t<∞.

Key words: Sobolev equation, Fourier pseudo-spectral method, long time stability and convergence

CLC Number: 

  • O241.82