Long-Time Behavior of Finite Difference Solutions of a Nonlinear Schrödinger Equation with Weakly Damped
Year: 2001
Author: Fa-Yong Zhang, Shu-Juan Lu
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 393–406
Abstract
A weakly damped Schrödinger equation possessing a global attractor are considered. The dynamical properties of a class of finite difference scheme are analysed. The existence of global attractor is proved for the discrete system. The stability of the difference scheme and the error estimate of the difference solution are obtained in the autonomous system case. Finally, long-time stability and convergence of the class of finite difference scheme also are analysed in the nonautonomous system case.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8992
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 393–406
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Global attractor Nonlinear Schrödinger equation Finite difference method Stability and convergence.