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Journal of Applied Mathematics and Computing

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28-10-2017 | Original Research

An exponential wave integrator Fourier pseudospectral method for the nonlinear Schrödinger equation with wave operator

Authors: Bingquan Ji, Luming Zhang

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2018

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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.

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Title: An exponential wave integrator Fourier pseudospectral method for the nonlinear Schrödinger equation with wave operator
Authors: Bingquan Ji
Luming Zhang
Publication date: 28-10-2017
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2018
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-017-1144-x

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