Long-Time Behavior of Finite Difference Solutions of Three-Dimensional Nonlinear Schrödinger Equation with Weakly Damped
Year: 2004
Author: Fayong Zhang
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 593–604
Abstract
The three-dimensional nonlinear Schrödinger equation with weakly damped that possesses a global attractor is considered. The dynamical properties of the discrete dynamical system which generate by a class of finite difference scheme are analysed. The existence of global attractor is proved for the discrete dynamical system.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10308
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 593–604
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Nonlinear Schrödinger equation Finite difference method Global attractor.