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Journal of Applied Mathematics and Computing

Erschienen in:

28.10.2017 | Original Research

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

verfasst von: Bingquan Ji, Luming Zhang

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 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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Titel: An exponential wave integrator Fourier pseudospectral method for the nonlinear Schrödinger equation with wave operator
verfasst von: Bingquan Ji
Luming Zhang
Publikationsdatum: 28.10.2017
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2018
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-017-1144-x

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