A second-order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.svg" display="inline" id="d1e4222"><mml:mrow><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.svg" display="inline" id="d1e4230"><mml:msub><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>σ</mml:mi></mml:mrow></mml:msub></mml:math> difference scheme for the nonlinear time–space fractional Schrödinger equation-Reference-Cited by-同舟云学术

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A second-order L2-1σ difference scheme for the nonlinear time–space fractional Schrödinger equation

Published:2024-04 Issue: Volume:131 Page:107839
ISSN:1007-5704
Container-title:Communications in Nonlinear Science and Numerical Simulation
language:en
Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Zhang Yuting,Feng Xinlong,Qian Lingzhi^ORCID

Publisher

Elsevier BV

Reference28 articles.

1. An intuitive study of fractional derivative modeling and fractional quantum in soft matter;Chen;J Vib Control,2008

2. Some physical applications of fractional Schrödinger equation;Guo;J Math Phys,2006

3. Fractional Schrödinger equation in optics;Longhi;Opt Lett,2015

4. Lévy processes and Schrödinger equation;Petroni;Physica A,2009

5. Potential condensed-matter realization of space-fractional quantum mechanics: The one-dimensional Lévy crystal;Stickler;Phys Rev E,2013

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1. Error estimate of GL‐ADI scheme for 2D multiterm nonlinear time‐fractional subdiffusion equation;Mathematical Methods in the Applied Sciences;2024-06-19

2. Qualitative analysis and modulation instability for the extended (3+1)-dimensional nonlinear Schrödinger equation with conformable derivative;Results in Physics;2024-06

3. Numerical Simulation of Soliton Propagation Behavior for the Fractional-in-Space NLSE with Variable Coefficients on Unbounded Domain;Fractal and Fractional;2024-03-12

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