@Article{JCM-17-2,
author = {Zeng, Wen-Ping},
title = {A Leap Frog Finite Difference Scheme for a Class of Nonlinear Schrödinger Equations of High Order},
journal = {Journal of Computational Mathematics},
year = {1999},
volume = {17},
number = {2},
pages = {133--138},
abstract = {<p style="text-align: justify;">In this paper, the periodic initial value problem for the following class of nonlinear schrödinger equation of high order $$i&nbsp;\frac{∂u}{∂t} + (–1)^m \frac{∂^m}{∂x^m} \Bigg( a(x) \frac{∂^mu}{∂x^m} \Bigg) +&nbsp;β(x)q(|u|^2)u + f (x; t)u = g(x; t)$$ 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.&nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/1999-JCM-9088},
url = {https://global-sci.com/article/85607/a-leap-frog-finite-difference-scheme-for-a-class-of-nonlinear-schrodinger-equations-of-high-order}
}