$$\beta $$-Robust Superconvergent Analysis of a Finite Element Method for the Distributed Order Time-Fractional Diffusion Equation-Reference-Cited by-同舟云学术

$$\beta $$-Robust Superconvergent Analysis of a Finite Element Method for the Distributed Order Time-Fractional Diffusion Equation

Published:2021-12-12 Issue:1 Volume:90 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Huang Chaobao,Chen Hu^ORCID,An Na

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://link.springer.com/content/pdf/10.1007/s10915-021-01726-2.pdf

Reference44 articles.

1. Abbaszadeh, Mostafa, Dehghan, Mehdi: An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Numer. Algorithms 75(1), 173–211 (2017)

2. Alikhanov, Anatoly A.: Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation. Appl. Math. Comput. 268, 12–22 (2015)

3. An, N.: Superconvergence of a finite element method for the time-fractional diffusion equation with a time-space dependent diffusivity. Adv. Differ. Equ. 2020(1), 1–11 (2020)

4. An, Na., Huang, Chaobao, Xijun, Yu.: Error analysis of direct discontinuous Galerkin method for two-dimensional fractional diffusion-wave equation. Appl. Math. Comput. 349, 148–157 (2019)

5. An, Na., Huang, Chaobao, Xijun, Yu.: Error analysis of discontinuous Galerkin method for the time fractional KdV equation with weak singularity solution. Discrete Contin. Dyn. Syst. Ser. B 25(1), 321–334 (2020)

Cited by 17 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. An efficient hybrid numerical approach for solving two-dimensional fractional cable model involving time-fractional operator of distributed order with error analysis;Numerical Algorithms;2024-08-17

2. Solvability of fractional differential equations with applications of Morgan Voyce polynomials;Physica Scripta;2024-06-13

3. A linear B-spline interpolation/Galerkin finite element method for the two-dimensional Riesz space distributed-order diffusion-wave equation with error analysis;The European Physical Journal Plus;2024-04-16

4. An $$\alpha $$-robust analysis of finite element method for space-time fractional diffusion equation;Numerical Algorithms;2024-03-06

5. Error Analysis of the Nonuniform Alikhanov Scheme for the Fourth-Order Fractional Diffusion-Wave Equation;Fractal and Fractional;2024-02-10