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 $\mathcal{A}_N$, $\mathcal{A}_N^k$ respectively and $d (\mathcal{A}_N, \mathcal{A})\to 0$, $d (\mathcal{A}_N^k, \mathcal{A}) \to 0$.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
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.