Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation-Reference-Cited by-同舟云学术

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Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation

Published:2018-06 Issue:12 Volume:75 Page:4241-4255
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Huang Yunqing,Li Xueyang,Xiao Aiguo

Funder

NSFC

NSF of Hunan Province

Foundation of Hunan Educational Committee

Natural Science Program of Xiangtan University

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference28 articles.

1. The Fractional Laplacian;Pozrikidis,2016

2. A second-order finite difference method for two-dimensional fractional percolation equations;Guo;Commun. Comput. Phys.,2016

3. A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations;Wang;J. Comput. Phys.,2014

4. Maximum-norm error analysis of a difference scheme for the space fractional CNLS;Wang;Appl. Math. Comput.,2015

5. A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation;Wang;Numer. Algorithms,2015

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1. Conservative Fourier spectral method for a class of modified Zakharov system with high-order space fractional quantum correction;Advances in Continuous and Discrete Models;2023-11-03

2. On convergence of a novel linear conservative scheme for the two-dimensional fractional nonlinear Schrödinger equation with wave operator;Computers & Mathematics with Applications;2023-11

3. Two-Grid Method for a Fully Discrete Mixed Finite Element Solution of the Time-Dependent Schrödinger Equation;Mathematics;2023-07-15

4. An efficient numerical method on modified space-time sparse grid for time-fractional diffusion equation with nonsmooth data;Numerical Algorithms;2023-05-11

5. Two‐grid mixed finite element method for two‐dimensional time‐dependent Schrödinger equation;Mathematical Methods in the Applied Sciences;2023-03-20

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