Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations-Reference-Cited by-同舟云学术

Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations

Published:2020-09-25 Issue:7 Volume:98 Page:1420-1437
ISSN:0020-7160
Container-title:International Journal of Computer Mathematics
language:en
Short-container-title:International Journal of Computer Mathematics

Author:

Zaky Mahmoud A.¹^ORCID,Hendy Ahmed S.²³

Affiliation:

1. Department of Applied Mathematics, National Research Centre, Giza, Egypt

2. Department of Computational Mathematics and Computer Science, Institute of Natural Sciences and Mathematics, Ural Federal University, Yekaterinburg, Russia

3. Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications

Link

https://www.tandfonline.com/doi/pdf/10.1080/00207160.2020.1822994

Reference45 articles.

1. A priori estimates for solutions of boundary value problems for fractional-order equations

2. A new difference scheme for the time fractional diffusion equation

3. An improved collocation method for multi-dimensional space–time variable-order fractional Schrödinger equations

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

Cited by 30 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A novel meshless method for time Caputo-space Riesz fractional Schrödinger equation;Mathematics and Computers in Simulation;2024-11

2. A second-order L2-1σ difference scheme for the nonlinear time–space fractional Schrödinger equation;Communications in Nonlinear Science and Numerical Simulation;2024-04

3. Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains;Mathematics and Computers in Simulation;2024-02

4. A Preconditioner for Galerkin–Legendre Spectral All-at-Once System from Time-Space Fractional Diffusion Equation;Symmetry;2023-12-02

5. Unveiling the structural, optical, and electromagnetic attenuation characteristics of B2O3–SiO2–CaO–Bi2O3 glasses with varied WO3 content;Radiation Physics and Chemistry;2023-11