Affiliation of Author(s):理学院
Journal:J. Appl. Math. Comp.
Abstract:In this article, an exponential wave integrator Fourier pseudospectral (EWI-FP) method is proposed for solving the nonlinear Schrödinger equation with wave operator. The numerical method is based on a Deuflhard-type exponential wave integrator for temporal integration and the Fourier pseudospectral method for spatial discretizations. The scheme is fully explicit and very efficient thanks to the fast Fourier transform. Numerical analysis of the proposed EWI-FP method is carried out and rigorous error estimates are established by means of the mathematical induction. Numerical results are reported to confirm the theoretical studies. © 2017, Korean Society for Computational and Applied Mathematics.
ISSN No.:1598-5865
Translation or Not:no
Date of Publication:2018-10-01
Co-author:Ji, Bingquan
Correspondence Author:Ji, Bingquan,Zhang Luming