Affiliation of Author(s):理学院
Journal:Math Methods Appl Sci
Abstract:In this paper, a conservative compact difference scheme is proposed for the two-dimensional nonlinear Zakharov equation with periodic boundary condition and initial condition. The proposed scheme not only conserve the mass and energy in the discrete level but also are efficient in practical experiments because the Fast Fourier transform (FFT) can be used to speed up the numerical computation. By using the standard energy method and induction argument, we can establish rigorously the unconditional and optimal H2-error estimates. Some numerical examples are provided to support our theoretical results and show the accuracy and efficiency of the new scheme. © 2019 John Wiley & Sons, Ltd.
ISSN No.:0170-4214
Translation or Not:no
Date of Publication:2019-06-01
Co-author:Zhou, Xuanxuan,Wang, Tingchun,Ji, Bingquan
Correspondence Author:Zhang Luming