A conservative difference scheme with optimal pointwise error estimates for two‐dimensional space fractional nonlinear Schrödinger equations-Reference-Cited by-同舟云学术

A conservative difference scheme with optimal pointwise error estimates for two‐dimensional space fractional nonlinear Schrödinger equations

Published:2021-07-28 Issue:1 Volume:38 Page:4-32
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

Hu Hongling¹,Jin Xianlin²³,He Dongdong⁴^ORCID,Pan Kejia²^ORCID,Zhang Qifeng⁵^ORCID

Affiliation:

1. Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), School of Mathematics and Statistics Hunan Normal University Changsha China

2. School of Mathematics and Statistics, HNP‐LAMA Central South University Changsha China

3. School of Mathematical Sciences Peking University Beijing China

4. School of Science and Engineering The Chinese University of Hong Kong, Shenzhen Shenzhen, Guangdong, 518172 China

5. Department of Mathematics Zhejiang Sci‐Tech University Hangzhou China

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22788

Reference56 articles.

1. Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes

2. On the consistency of the solutions of the space fractional Schrödinger equation

3. A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations

4. Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations

5. Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

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