Fourth-Order Compact Split-Step Finite Difference Method for Solving the Two- and Three-Dimensional Nonlinear Schrödinger Equations
Year: 2018
Author: Rena Eskar, Xinlong Feng, Pengzhan Huang
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 4 : pp. 879–895
Abstract
In this paper we show a fourth-order compact split-step finite difference method to solve the two- and three-dimensional nonlinear Schrödinger equations. The conservation properties and stability are analyzed for the proposed scheme. Numerical results show that the method can provide accurate and stable solutions for the nonlinear Schrödinger equation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2017-0162
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 4 : pp. 879–895
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Nonlinear Schrödinger equation operator splitting method compact split-step finite difference method conservation law stability.
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