An Explicit–Implicit Spectral Element Scheme for the Nonlinear Space Fractional Schrödinger Equation

An Explicit–Implicit Spectral Element Scheme for the Nonlinear Space Fractional Schrödinger Equation

In this paper, we solve the space fractional nonlinear Schrödinger equation (SFNSE) by developing an explicit–implicit spectral element scheme, which is formulated based on the Legendre spectral element approximation in space and the Crank–Nicolson leap frog (CNLF) difference discretization in time....

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Bibliographic Details
Main Authors: Zeting Liu, Baoli Yin, Yang Liu
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Fractal and Fractional
Subjects:
space fractional Schrödinger equation
spectral element method
mass and energy conservation
stability and convergence
Online Access:https://www.mdpi.com/2504-3110/7/9/654

Internet

https://www.mdpi.com/2504-3110/7/9/654

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