Affiliation of Author(s):理学院
Journal:Int J Comput Math
Abstract:In this article, a compact difference scheme is investigated to solve the Zakharov–Rubenchik equations in one dimension. The new scheme is proved to conserve the total mass and energy in the discrete sense. Rigorous error estimates are established for the new method with the help of an induction argument in energy space which show that the new scheme has second-order accuracy in time and fourth-order accuracy in space. Extensive numerical results are provided to verify our theoretical analysis, and show the accuracy and efficiency of the new scheme. © 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.
ISSN No.:0020-7160
Translation or Not:no
Date of Publication:2019-03-04
Co-author:Ji, Bingquan,Zhou, Xuanxuan
Correspondence Author:Zhang Luming