TY - JOUR
T1 - Fourth-Order Compact Split-Step Finite Difference Method for Solving the Two- and Three-Dimensional Nonlinear Schrödinger Equations
AU - Eskar , Rena
AU - Feng , Xinlong
AU - Huang , Pengzhan
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 879
EP - 895
PY - 2018
DA - 2018/07
SN - 10
DO - http://doi.org/10.4208/aamm.OA-2017-0162
UR - https://global-sci.org/intro/article_detail/aamm/12500.html
KW - Nonlinear Schrödinger equation, operator splitting method, compact split-step finite
difference method, conservation law, stability.
AB - <p style="text-align: justify;">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.</p>