Fan, Huijun; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Liu, Fawang Anisotropic \(EQ_1^{rot}\) finite element approximation for a multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. (English) Zbl 1515.65241 J. Comput. Math. 41, No. 3, 459-482 (2023). MSC: 65M60 35R11 65M15 65R20 PDFBibTeX XMLCite \textit{H. Fan} et al., J. Comput. Math. 41, No. 3, 459--482 (2023; Zbl 1515.65241) Full Text: DOI
Shi, Yanhua; Zhao, Yanmin; Wang, Fenling; Liu, Fawang Novel superconvergence analysis of anisotropic triangular FEM for a multi-term time-fractional mixed sub-diffusion and diffusion-wave equation with variable coefficients. (English) Zbl 07778299 Numer. Methods Partial Differ. Equations 38, No. 5, 1345-1366 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 65D05 60K10 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{Y. Shi} et al., Numer. Methods Partial Differ. Equations 38, No. 5, 1345--1366 (2022; Zbl 07778299) Full Text: DOI
Wei, Yabing; Lü, Shujuan; Wang, Fenling; Liu, F.; Zhao, Yanmin Global superconvergence analysis of nonconforming finite element method for time fractional reaction-diffusion problem with anisotropic data. (English) Zbl 1524.65612 Comput. Math. Appl. 119, 159-173 (2022). MSC: 65M60 65M12 65M06 35R11 65M15 26A33 PDFBibTeX XMLCite \textit{Y. Wei} et al., Comput. Math. Appl. 119, 159--173 (2022; Zbl 1524.65612) Full Text: DOI
Gao, Xinghua; Liu, Fawang; Li, Hong; Liu, Yang; Turner, Ian; Yin, Baoli A novel finite element method for the distributed-order time fractional Cable equation in two dimensions. (English) Zbl 1447.65072 Comput. Math. Appl. 80, No. 5, 923-939 (2020). MSC: 65M60 65M06 65M12 35R11 26A33 92C20 35Q92 PDFBibTeX XMLCite \textit{X. Gao} et al., Comput. Math. Appl. 80, No. 5, 923--939 (2020; Zbl 1447.65072) Full Text: DOI
Zheng, Minling; Liu, Fawang; Jin, Zhengmeng The global analysis on the spectral collocation method for time fractional Schrödinger equation. (English) Zbl 1433.65248 Appl. Math. Comput. 365, Article ID 124689, 15 p. (2020). MSC: 65M70 35R11 81Q65 PDFBibTeX XMLCite \textit{M. Zheng} et al., Appl. Math. Comput. 365, Article ID 124689, 15 p. (2020; Zbl 1433.65248) Full Text: DOI
Feng, Libo; Liu, Fawang; Turner, Ian Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains. (English) Zbl 1464.65119 Commun. Nonlinear Sci. Numer. Simul. 70, 354-371 (2019). MSC: 65M60 PDFBibTeX XMLCite \textit{L. Feng} et al., Commun. Nonlinear Sci. Numer. Simul. 70, 354--371 (2019; Zbl 1464.65119) Full Text: DOI Link
Liu, Yang; Du, Yanwei; Li, Hong; Liu, Fawang; Wang, Yajun Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation. (English) Zbl 1433.65218 Numer. Algorithms 80, No. 2, 533-555 (2019). Reviewer: Yakov Berchenko-Kogan (St. Louis) MSC: 65M60 65N15 65N30 35R11 65N12 65M06 92C37 92C20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Numer. Algorithms 80, No. 2, 533--555 (2019; Zbl 1433.65218) Full Text: DOI Link
Qin, Shanlin; Liu, Fawang; Turner, Ian W. A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements. (English) Zbl 1510.92116 Commun. Nonlinear Sci. Numer. Simul. 56, 270-286 (2018). MSC: 92C55 PDFBibTeX XMLCite \textit{S. Qin} et al., Commun. Nonlinear Sci. Numer. Simul. 56, 270--286 (2018; Zbl 1510.92116) Full Text: DOI Link
Feng, Libo; Liu, Fawang; Turner, Ian; Yang, Qianqian; Zhuang, Pinghui Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains. (English) Zbl 1480.65253 Appl. Math. Modelling 59, 441-463 (2018). MSC: 65M60 35R11 65M06 PDFBibTeX XMLCite \textit{L. Feng} et al., Appl. Math. Modelling 59, 441--463 (2018; Zbl 1480.65253) Full Text: DOI Link
Shi, Z. G.; Zhao, Y. M.; Liu, F.; Wang, F. L.; Tang, Y. F. Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes. (English) Zbl 1427.65260 Appl. Math. Comput. 338, 290-304 (2018). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{Z. G. Shi} et al., Appl. Math. Comput. 338, 290--304 (2018; Zbl 1427.65260) Full Text: DOI Link
Wang, F. L.; Liu, F.; Zhao, Y. M.; Shi, Y. H.; Shi, Z. G. A novel approach of high accuracy analysis of anisotropic bilinear finite element for time-fractional diffusion equations with variable coefficient. (English) Zbl 1419.65073 Comput. Math. Appl. 75, No. 10, 3786-3800 (2018). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{F. L. Wang} et al., Comput. Math. Appl. 75, No. 10, 3786--3800 (2018; Zbl 1419.65073) Full Text: DOI Link
Zhao, Yanmin; Zhang, Yadong; Liu, F.; Turner, I.; Tang, Yifa; Anh, V. Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. (English) Zbl 1412.65159 Comput. Math. Appl. 73, No. 6, 1087-1099 (2017). MSC: 65M60 65M12 35R11 65D05 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Comput. Math. Appl. 73, No. 6, 1087--1099 (2017; Zbl 1412.65159) Full Text: DOI Link
Shi, Z. G.; Zhao, Y. M.; Liu, F.; Tang, Y. F.; Wang, F. L.; Shi, Y. H. High accuracy analysis of an \(H^1\)-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations. (English) Zbl 1397.65191 Comput. Math. Appl. 74, No. 8, 1903-1914 (2017). MSC: 65M60 65M12 35R11 65M06 PDFBibTeX XMLCite \textit{Z. G. Shi} et al., Comput. Math. Appl. 74, No. 8, 1903--1914 (2017; Zbl 1397.65191) Full Text: DOI
Fan, Wenping; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain. (English) Zbl 1364.65162 Fract. Calc. Appl. Anal. 20, No. 2, 352-383 (2017). MSC: 65M06 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{W. Fan} et al., Fract. Calc. Appl. Anal. 20, No. 2, 352--383 (2017; Zbl 1364.65162) Full Text: DOI Link
Zhao, Y. M.; Zhang, Y. D.; Liu, F.; Turner, I.; Shi, D. Y. Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. (English) Zbl 1471.65156 Appl. Math. Modelling 40, No. 19-20, 8810-8825 (2016). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{Y. M. Zhao} et al., Appl. Math. Modelling 40, No. 19--20, 8810--8825 (2016; Zbl 1471.65156) Full Text: DOI
Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. (English) Zbl 1382.65334 Appl. Math. Lett. 59, 38-47 (2016). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Appl. Math. Lett. 59, 38--47 (2016; Zbl 1382.65334) Full Text: DOI