Year: 1999
Author: Wen-Ping Zeng
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 2 : pp. 133–138
Abstract
In this paper, the periodic initial value problem for the following class of nonlinear schrödinger equation of high order $$i \frac{∂u}{∂t} + (–1)^m \frac{∂^m}{∂x^m} \Bigg( a(x) \frac{∂^mu}{∂x^m} \Bigg) + β (x)q(|u|^2)u + f (x; t)u = g(x; t)$$ is considered. A leap-frog finite difference scheme is given, and convergence and stability is proved. Finally, it is shown by a numerical example that numerical result is coincident with theoretical result.
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/1999-JCM-9088
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 2 : pp. 133–138
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: High order nonlinear Schrödinger equation Leap-Frog difference scheme Convergence.