A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg–Landau equations-Reference-Cited by-同舟云学术

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A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg–Landau equations

Published:2021-06 Issue: Volume:389 Page:113355
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Zhang Qifeng,Zhang Lu,Sun Hai-wei

Funder

Natural Science Foundation of China

Natural Sciences Foundation of Zhejiang Province, China

Xuzhou University of Technology, China

Science and Technology Development Fund, Macau SAR

University of Macau

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference44 articles.

1. An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg-Landau equations;Wang;Comput. Math. Appl.,2018

2. Random walk models for space-fractional diffusion processes;Gorenflo;Fract. Calc. Appl. Anal.,1998

3. Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation;Guo;Fract. Calc. Appl. Anal.,2013

4. A fourth-order compact ADI scheme for two-dimensional nonlinear space fractional Schrödinger equation;Zhao;SIAM J. Sci. Comput.,2014

5. A conservative numerical method for the fractional nonlinear Schrödinger equation in two dimensions;Zhang;Sci. China Math.,2019

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1. Dynamic analysis and derivation of new optical soliton solutions for the modified complex Ginzburg-Landau model in communication systems;Alexandria Engineering Journal;2024-03

2. Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation;Computers & Mathematics with Applications;2023-11

3. A study of variation in dynamical behavior of fractional complex Ginzburg-Landau model for different fractional operators;Ain Shams Engineering Journal;2023-09

4. Convergence and superconvergence analysis of finite element methods for nonlinear Ginzburg–Landau equation with Caputo derivative;Computational and Applied Mathematics;2023-08-03

5. The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application;Communications in Nonlinear Science and Numerical Simulation;2023-08

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