The Large Time Convergence of Spectral Method for Generalized Kuramoto-Sivashinsky Equation (II)
Year: 1998
Author: Xinming Xiang
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 3 : pp. 203–212
Abstract
In this paper, we study fully discrete spectral method and long time behavior of solution of generalized Kuramoto-Sivashinsky equation with periodic initial condition. We prove that the large time error estimation for fully discrete solution of spectral method. We prove the existence of approximate attractors AN, AkN respectively and d(AN,A)→0, d(AkN,A)→0.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1998-JCM-9153
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 3 : pp. 203–212
Published online: 1998-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Kuramoto-Sivashinsky equation large time convergence Approximate attractor Upper semicontinuity of attractors.
Author Details
Xinming Xiang Email