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Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1705-1719
Authors:  Zhao, Yanmin;  Wang, Fenling;  Hu, Xiaohan;  Shi, Zhengguang;  Tang, Yifa
Favorite  |  View/Download:87/0  |  Submit date:2020/01/10
Multi-term time-fractional mixed diffusion-wave equations  Linear triangle finite element  L1 time-stepping method  Crank-Nicolson scheme  Unconditional stability  Convergence and superconvergence  
A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1288-1301
Authors:  Wang, Fenling;  Zhao, Yanmin;  Chen, Chen;  Wei, Yabing;  Tang, Yifa
Favorite  |  View/Download:77/0  |  Submit date:2020/01/10
Time-fractional diffusion equations  Variable coefficient  Quasi-Wilson nonconforming anisotropic finite element  L2-1(sigma) formula  Stability  Superclose and superconvergence  
High accuracy analysis of an H-1-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 8, 页码: 1903-1914
Authors:  Shi, Z. G.;  Zhao, Y. M.;  Liu, F.;  Tang, Y. F.;  Wang, F. L.;  Shi, Y. H.
Favorite  |  View/Download:55/0  |  Submit date:2018/07/30
Time fractional diffusion equations  H-1-Galerkin mixed finite element method  Anisotropic mesh  L1 approximation  Superclose and superconvergence  
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 73, 期号: 6, 页码: 1087-1099
Authors:  Zhao, Yanmin;  Zhang, Yadong;  Liu, F.;  Turner, I.;  Tang, Yifa;  Anh, V.
Favorite  |  View/Download:61/0  |  Submit date:2018/07/30
Multi-term time-fractional diffusion equation  Finite element method  L1 approximation  Stability Convergence and superconvergence  
Finite element approximation of optimal control problems governed by time fractional diffusion equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 卷号: 71, 期号: 1, 页码: 301-318
Authors:  Zhou, Zhaojie;  Gong, Wei
Favorite  |  View/Download:59/0  |  Submit date:2018/07/30
Galerkin finite element method  Optimal control problems  Time fractional diffusion equations  A priori error estimate  Variational discretization