Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation-Reference-Cited by-同舟云学术

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Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation

Published:2022-05 Issue: Volume:14 Page:100264
ISSN:2590-0374
Container-title:Results in Applied Mathematics
language:en
Short-container-title:Results in Applied Mathematics

Author:

Wang Jiarui,Liu Yang^ORCID,Wen Cao,Li Hong

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference34 articles.

1. Time second-order finite difference/finite element algorithm for nonlinear time-fractional diffusion problem with fourth-order derivative term;Liu;Comput Math Appl,2018

2. Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction–diffusion problem;Liu;Comput Math Appl,2015

3. Numerical solution of time-fractional fourth-order reaction–diffusion model arising in composite environments;Nikan;Appl Math Model,2021

4. Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions;Ji;J Sci Comput,2016

5. A two-grid mixed finite element method for a nonlinear fourth-order reaction–diffusion problem with time-fractional derivative;Liu;Comput Math Appl,2015

Cited by 5 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. Unconditional analysis of the linearized second-order time-stepping scheme combined with a mixed element method for a nonlinear time fractional fourth-order wave equation;Computers & Mathematics with Applications;2024-03

2. BDF2-WSGI Finite Element Algorithm for a Two-Dimensional Nonlinear Fourth-Order Fractional Wave Equation;Advances in Applied Mathematics;2024

3. Finite element algorithm with a second‐order shifted composite numerical integral formula for a nonlinear time fractional wave equation;Numerical Methods for Partial Differential Equations;2023-08-30

4. Compact difference scheme for time-fractional nonlinear fourth-order diffusion equation with time delay;Results in Applied Mathematics;2022-11

5. Second-Order Time Stepping Scheme Combined with a Mixed Element Method for a 2D Nonlinear Fourth-Order Fractional Integro-Differential Equations;Fractal and Fractional;2022-04-02

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