Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 8
Submit an article Journal homepage
363
Views
19
CrossRef citations to date
0
Altmetric
Articles

Galerkin finite element method for higher dimensional multi-term fractional diffusion equation on non-uniform meshes

Meng LiSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, P.R. China.;Department of Electronic and Information Engineering, Bozhou College, Bozhou, P.R. China.View further author information
,
Chengming HuangSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, P.R. China.Correspondence[email protected]
View further author information
&
Fengze JiangSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, P.R. China.View further author information
Pages 1269-1284 | Received 15 Jan 2016, Accepted 28 Apr 2016, Published online: 03 Jun 2016

Citations (19)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

Zhichao Fang, Jie Zhao, Hong Li & Yang Liu. (2023) Finite volume element methods for two-dimensional time fractional reaction–diffusion equations on triangular grids. Applicable Analysis 102:8, pages 2248-2270.
Read now

Articles from other publishers (18)

M. H. Derakhshan, H. R. Marasi & Pushpendra Kumar. (2024) 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 139:4.
Crossref
Shanshan Peng, Meng Li, Yanmin Zhao, Fawang Liu & Fangfang Cao. (2023) Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay. Numerical Algorithms 95:4, pages 1643-1714.
Crossref
Lalit Kumar, Sivaji Ganesh Sista & Konijeti Sreenadh. (2023) Finite element analysis of time‐fractional integro‐differential equation of Kirchhoff type for non‐homogeneous materials. Mathematical Methods in the Applied Sciences 47:4, pages 2120-2153.
Crossref
Jie Zhao, Shubin Dong & Zhichao Fang. (2024) A Mixed Finite Element Method for the Multi-Term Time-Fractional Reaction–Diffusion Equations. Fractal and Fractional 8:1, pages 51.
Crossref
Meng Li, Yifan Wei, Binqian Niu & Yong-Liang Zhao. (2022) Fast L2-1 Galerkin FEMs for generalized nonlinear coupled Schrödinger equations with Caputo derivatives . Applied Mathematics and Computation 416, pages 126734.
Crossref
Huan-Yan Jian, Ting-Zhu Huang, Xian-Ming Gu, Xi-Le Zhao & Yong-Liang Zhao. (2021) Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations. Computers & Mathematics with Applications 94, pages 136-154.
Crossref
Lili Li, Mianfu She & Yuanling Niu. (2021) Fractional Crank-Nicolson-Galerkin Finite Element Methods for Nonlinear Time Fractional Parabolic Problems with Time Delay. Journal of Function Spaces 2021, pages 1-10.
Crossref
Xinghua Gao, Baoli Yin, Hong Li & Yang Liu. (2021) TT-M FE method for a 2D nonlinear time distributed-order and space fractional diffusion equation. Mathematics and Computers in Simulation 181, pages 117-137.
Crossref
Xiangcheng Zheng, Huan Liu, Hong Wang & Hongfei Fu. (2021) Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions. Applied Numerical Mathematics 161, pages 1-12.
Crossref
Ali Shokri & Soheila Mirzaei. (2020) Numerical study of the two-term time-fractional differential equation using the Lagrange polynomial pseudo-spectral method. Alexandria Engineering Journal 59:5, pages 3163-3169.
Crossref
Yue Zhao, Chen Shen, Min Qu, Weiping Bu & Yifa Tang. (2020) Finite element methods for fractional diffusion equations. International Journal of Modeling, Simulation, and Scientific Computing 11:04, pages 2030001.
Crossref
Mostafa Abbaszadeh & Mehdi Dehghan. (2020) Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Applied Numerical Mathematics 154, pages 172-186.
Crossref
Weiping Bu, Lun Ji, Yifa Tang & Jie Zhou. (2020) Space-time finite element method for the distributed-order time fractional reaction diffusion equations. Applied Numerical Mathematics 152, pages 446-465.
Crossref
Baoli Yin, Yang Liu & Hong Li. (2020) A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations. Applied Mathematics and Computation 368, pages 124799.
Crossref
Weiping Bu, Shi Shu, Xiaoqiang Yue, Aiguo Xiao & Wei Zeng. (2019) Space–time finite element method for the multi-term time–space fractional diffusion equation on a two-dimensional domain. Computers & Mathematics with Applications 78:5, pages 1367-1379.
Crossref
Min Zhang, Yang Liu & Hong Li. (2019) High‐order local discontinuous Galerkin method for a fractal mobile/immobile transport equation with the Caputo–Fabrizio fractional derivative. Numerical Methods for Partial Differential Equations 35:4, pages 1588-1612.
Crossref
Mahmoud A. Zaky. (2017) A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations. Computational and Applied Mathematics 37:3, pages 3525-3538.
Crossref
Shanlin Qin, Fawang Liu & Ian W. Turner. (2018) A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements. Communications in Nonlinear Science and Numerical Simulation 56, pages 270-286.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.