Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition

Mehdi Dehghan and Mostafa Abbaszadeh
Computers & Mathematics with Applications 73 (6) 1270 (2017)
https://doi.org/10.1016/j.camwa.2016.11.020

High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation

Yang Liu, Min Zhang, Hong Li and Jichun Li
Computers & Mathematics with Applications 73 (6) 1298 (2017)
https://doi.org/10.1016/j.camwa.2016.08.015

Numerical Solution of the Two-Sided Space–Time Fractional Telegraph Equation Via Chebyshev Tau Approximation

Ali H. Bhrawy, Mahmoud A. Zaky and José A. Tenreiro Machado
Journal of Optimization Theory and Applications 174 (1) 321 (2017)
https://doi.org/10.1007/s10957-016-0863-8

ADI Galerkin FEMs for the 2D nonlinear time-space fractional diffusion-wave equation

Meng Li and Chengming Huang
International Journal of Modeling, Simulation, and Scientific Computing 08 (03) 1750025 (2017)
https://doi.org/10.1142/S1793962317500258

Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method

S. Yeganeh, R. Mokhtari and J. S. Hesthaven
BIT Numerical Mathematics 57 (3) 685 (2017)
https://doi.org/10.1007/s10543-017-0648-y

Fractional Burgers equation with nonlinear non-locality: Spectral vanishing viscosity and local discontinuous Galerkin methods

Zhiping Mao and George Em Karniadakis
Journal of Computational Physics 336 143 (2017)
https://doi.org/10.1016/j.jcp.2017.01.048

Solution of two-dimensional time-fractional Burgers equation with high and low Reynolds numbers

Wen Cao, Qinwu Xu and Zhoushun Zheng
Advances in Difference Equations 2017 (1) (2017)
https://doi.org/10.1186/s13662-017-1398-5

Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations

Yanmei Liu, Yubin Yan and Monzorul Khan
Applied Numerical Mathematics 115 200 (2017)
https://doi.org/10.1016/j.apnum.2017.01.009

Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains

Z. Yang, Z. Yuan, Y. Nie, et al.
Journal of Computational Physics 330 863 (2017)
https://doi.org/10.1016/j.jcp.2016.10.053

Schwartz duality of the Dirac delta function for the Chebyshev collocation approximation to the fractional advection equation

He Yang, Jingyang Guo and Jae-Hun Jung
Applied Mathematics Letters 64 205 (2017)
https://doi.org/10.1016/j.aml.2016.09.009

A mixed‐type Galerkin variational formulation and fast algorithms for variable‐coefficient fractional diffusion equations

Yongshan Li, Huanzhen Chen and Hong Wang
Mathematical Methods in the Applied Sciences 40 (14) 5018 (2017)
https://doi.org/10.1002/mma.4367

Mixed-Type Galerkin Variational Principle and Numerical Simulation for a Generalized Nonlocal Elastic Model

Lueling Jia, Huanzhen Chen and Hong Wang
Journal of Scientific Computing 71 (2) 660 (2017)
https://doi.org/10.1007/s10915-016-0316-4

A Petrov–Galerkin spectral element method for fractional elliptic problems

Ehsan Kharazmi, Mohsen Zayernouri and George Em Karniadakis
Computer Methods in Applied Mechanics and Engineering 324 512 (2017)
https://doi.org/10.1016/j.cma.2017.06.006

Galerkin finite element method for two-dimensional space and time fractional Bloch–Torrey equation

Yue Zhao, Weiping Bu, Xuan Zhao and Yifa Tang
Journal of Computational Physics 350 117 (2017)
https://doi.org/10.1016/j.jcp.2017.08.051

Fully Discrete Local Discontinuous Galerkin Approximation for Time-Space Fractional Subdiffusion/Superdiffusion Equations

Meilan Qiu, Liquan Mei and Dewang Li
Advances in Mathematical Physics 2017 1 (2017)
https://doi.org/10.1155/2017/4961797

Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems

Li Guo, Zhibo Wang and Seakweng Vong
International Journal of Computer Mathematics 93 (10) 1665 (2016)
https://doi.org/10.1080/00207160.2015.1070840

Finite element approximation of fractional order elliptic boundary value problems

Béla J. Szekeres and Ferenc Izsák
Journal of Computational and Applied Mathematics 292 553 (2016)
https://doi.org/10.1016/j.cam.2015.07.026

Fourier Spectral Methods for Some Linear Stochastic Space-Fractional Partial Differential Equations

Yanmei Liu, Monzorul Khan and Yubin Yan
Mathematics 4 (3) 45 (2016)
https://doi.org/10.3390/math4030045

A fractional‐order Jacobi Tau method for a class of time‐fractional PDEs with variable coefficients

Ali Bhrawy and Mahmoud Zaky
Mathematical Methods in the Applied Sciences 39 (7) 1765 (2016)
https://doi.org/10.1002/mma.3600

A Hybridized Discontinuous Galerkin Method for 2D Fractional Convection–Diffusion Equations

Shuqin Wang, Jinyun Yuan, Weihua Deng and Yujiang Wu
Journal of Scientific Computing 68 (2) 826 (2016)
https://doi.org/10.1007/s10915-015-0160-y

Numerical Identification of the Fractional Derivatives in the Two-Dimensional Fractional Cable Equation

Bo Yu and Xiaoyun Jiang
Journal of Scientific Computing 68 (1) 252 (2016)
https://doi.org/10.1007/s10915-015-0136-y

A Mixed Finite Element Formulation for the Conservative Fractional Diffusion Equations

Suxiang Yang and Huanzhen Chen
Advances in Mathematical Physics 2016 1 (2016)
https://doi.org/10.1155/2016/9398265

Numerical solution of distributed order fractional differential equations by hybrid functions

S. Mashayekhi and M. Razzaghi
Journal of Computational Physics 315 169 (2016)
https://doi.org/10.1016/j.jcp.2016.01.041

Fast tensor product solvers for optimization problems with fractional differential equations as constraints

Sergey Dolgov, John W. Pearson, Dmitry V. Savostyanov and Martin Stoll
Applied Mathematics and Computation 273 604 (2016)
https://doi.org/10.1016/j.amc.2015.09.042

Estimation of the smallest eigenvalue in fractional escape problems: Semi-analytics and fits

Bartłomiej Dybiec and Igor M. Sokolov
Computer Physics Communications 187 29 (2015)
https://doi.org/10.1016/j.cpc.2014.10.007

Fractional spectral collocation methods for linear and nonlinear variable order FPDEs

Mohsen Zayernouri and George Em Karniadakis
Journal of Computational Physics 293 312 (2015)
https://doi.org/10.1016/j.jcp.2014.12.001

A two-grid mixed finite element method for a nonlinear fourth-order reaction–diffusion problem with time-fractional derivative

Yang Liu, Yanwei Du, Hong Li, Jichun Li and Siriguleng He
Computers & Mathematics with Applications 70 (10) 2474 (2015)
https://doi.org/10.1016/j.camwa.2015.09.012

A Finite Element Method with Singularity Reconstruction for Fractional Boundary Value Problems

Bangti Jin and Zhi Zhou
ESAIM: Mathematical Modelling and Numerical Analysis 49 (5) 1261 (2015)
https://doi.org/10.1051/m2an/2015010

Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems

Xiaochuan Tian and Qiang Du
SIAM Journal on Numerical Analysis 53 (2) 762 (2015)
https://doi.org/10.1137/140978831

Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy

Fanhai Zeng, Changpin Li, Fawang Liu and Ian Turner
SIAM Journal on Scientific Computing 37 (1) A55 (2015)
https://doi.org/10.1137/14096390X

Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes

Liangliang Qiu, Weihua Deng and Jan S. Hesthaven
Journal of Computational Physics 298 678 (2015)
https://doi.org/10.1016/j.jcp.2015.06.022

High-order algorithms for Riesz derivative and their applications (II)

Hengfei Ding, Changpin Li and YangQuan Chen
Journal of Computational Physics 293 218 (2015)
https://doi.org/10.1016/j.jcp.2014.06.007

A weighted numerical algorithm for two and three dimensional two-sided space fractional wave equations

Kaiying Deng, Minghua Chen and Tieli Sun
Applied Mathematics and Computation 257 264 (2015)
https://doi.org/10.1016/j.amc.2014.08.039

Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations

Qinwu Xu and Jan S. Hesthaven
SIAM Journal on Numerical Analysis 52 (1) 405 (2014)
https://doi.org/10.1137/130918174

Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations

Mohsen Zayernouri and George Em Karniadakis
SIAM Journal on Scientific Computing 36 (4) B684 (2014)
https://doi.org/10.1137/130940967