Wei, Yabing; Zhao, Yanmin; Wang, Fenling; Tang, Yifa Superconvergence analysis of nonconforming finite element method for two-dimensional time-fractional Allen-Cahn equation. (English) Zbl 1517.65093 Appl. Math. Lett. 140, Article ID 108569, 12 p. (2023). MSC: 65M60 65M06 65N30 65H10 65D05 65M12 74N05 35Q74 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Wei} et al., Appl. Math. Lett. 140, Article ID 108569, 12 p. (2023; Zbl 1517.65093) Full Text: DOI
Arshad, Sadia; Yıldız, Tuu gba Akman; Baleanu, Dumitru; Tang, Yifa The role of obesity in fractional order tumor-immune model. (English) Zbl 1513.34171 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 82, No. 2, 181-196 (2020). MSC: 34C60 34A08 92C37 34C05 34D20 PDFBibTeX XMLCite \textit{S. Arshad} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 82, No. 2, 181--196 (2020; Zbl 1513.34171)
Aleroev, Temirkhan S.; Aleroeva, Hedi T.; Kovalchuk, Oleg A.; Tang, Yifa On the main oscillational properties of fractional differential equations. (English) Zbl 1442.34006 Georgian Math. J. 27, No. 2, 177-182 (2020). MSC: 34A08 34C10 PDFBibTeX XMLCite \textit{T. S. Aleroev} et al., Georgian Math. J. 27, No. 2, 177--182 (2020; Zbl 1442.34006) Full Text: DOI
Bu, Weiping; Ji, Lun; Tang, Yifa; Zhou, Jie Space-time finite element method for the distributed-order time fractional reaction diffusion equations. (English) Zbl 1434.65177 Appl. Numer. Math. 152, 446-465 (2020). Reviewer: Hu Chen (Beijing) MSC: 65M60 65M12 35R11 65D32 PDFBibTeX XMLCite \textit{W. Bu} et al., Appl. Numer. Math. 152, 446--465 (2020; Zbl 1434.65177) Full Text: DOI
Wang, Fenling; Zhao, Yanmin; Shi, Zhengguang; Shi, Yanhua; Tang, Yifa High accuracy analysis of an anisotropic nonconforming finite element method for two-dimensional time fractional wave equation. (English) Zbl 1462.65157 East Asian J. Appl. Math. 9, No. 4, 797-817 (2019). MSC: 65M60 65M06 65N30 65N12 65M15 35R11 PDFBibTeX XMLCite \textit{F. Wang} et al., East Asian J. Appl. Math. 9, No. 4, 797--817 (2019; Zbl 1462.65157) Full Text: DOI
Huang, Jianfei; Arshad, Sadia; Jiao, Yandong; Tang, Yifa Convolution quadrature methods for time-space fractional nonlinear diffusion-wave equations. (English) Zbl 1468.65097 East Asian J. Appl. Math. 9, No. 3, 538-557 (2019). MSC: 65M06 65M12 65D30 35R09 35R11 PDFBibTeX XMLCite \textit{J. Huang} et al., East Asian J. Appl. Math. 9, No. 3, 538--557 (2019; Zbl 1468.65097) Full Text: DOI
Huang, Jianfei; Zhao, Yue; Arshad, Sadia; Li, Kuangying; Tang, Yifa Alternating direction implicit schemes for the two-dimensional time fractional nonlinear super-diffusion equations. (English) Zbl 1449.65181 J. Comput. Math. 37, No. 3, 297-315 (2019). MSC: 65M06 65M12 35R11 26A33 35R09 45K05 PDFBibTeX XMLCite \textit{J. Huang} et al., J. Comput. Math. 37, No. 3, 297--315 (2019; Zbl 1449.65181) Full Text: DOI
Shi, Zhengguang; Zhao, Yanmin; Tang, Yifa; Wang, Fenling; Shi, Yanhua Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for two-dimensional multi-term time fractional diffusion equations. (English) Zbl 1499.65526 Int. J. Comput. Math. 95, No. 9, 1845-1857 (2018). MSC: 65M60 65M06 65N30 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Shi} et al., Int. J. Comput. Math. 95, No. 9, 1845--1857 (2018; Zbl 1499.65526) Full Text: DOI
Arshad, Sadia; Baleanu, Dumitru; Huang, Jianfei; Tang, Yifa; Zhao, Yue A fourth order finite difference method for time-space fractional diffusion equations. (English) Zbl 1468.65092 East Asian J. Appl. Math. 8, No. 4, 764-781 (2018). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{S. Arshad} et al., East Asian J. Appl. Math. 8, No. 4, 764--781 (2018; Zbl 1468.65092) 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
Wei, Ya-Bing; Zhao, Yan-Min; Shi, Zheng-Guang; Wang, Fen-Ling; Tang, Yi-Fa Spatial high accuracy analysis of FEM for two-dimensional multi-term time-fractional diffusion-wave equations. (English) Zbl 1404.65126 Acta Math. Appl. Sin., Engl. Ser. 34, No. 4, 828-841 (2018). MSC: 65M12 65M60 35R11 65M06 65M15 PDFBibTeX XMLCite \textit{Y.-B. Wei} et al., Acta Math. Appl. Sin., Engl. Ser. 34, No. 4, 828--841 (2018; Zbl 1404.65126) Full Text: DOI
Zhang, Y. D.; Zhao, Y. M.; Wang, F. L.; Tang, Y. F. High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes. (English) Zbl 1390.65151 Int. J. Comput. Math. 95, No. 1, 218-230 (2018). MSC: 65N30 35R11 PDFBibTeX XMLCite \textit{Y. D. Zhang} et al., Int. J. Comput. Math. 95, No. 1, 218--230 (2018; Zbl 1390.65151) Full Text: DOI
Arshad, Sadia; Bu, Weiping; Huang, Jianfei; Tang, Yifa; Zhao, Yue Finite difference method for time-space linear and nonlinear fractional diffusion equations. (English) Zbl 1387.65080 Int. J. Comput. Math. 95, No. 1, 202-217 (2018). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{S. Arshad} et al., Int. J. Comput. Math. 95, No. 1, 202--217 (2018; Zbl 1387.65080) Full Text: DOI
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
Zhao, Yue; Bu, Weiping; Zhao, Xuan; Tang, Yifa Galerkin finite element method for two-dimensional space and time fractional Bloch-Torrey equation. (English) Zbl 1380.65294 J. Comput. Phys. 350, 117-135 (2017). MSC: 65M60 65M12 35R11 35A15 PDFBibTeX XMLCite \textit{Y. Zhao} et al., J. Comput. Phys. 350, 117--135 (2017; Zbl 1380.65294) Full Text: DOI
Arshad, Sadia; Huang, Jianfei; Khaliq, Abdul Q. M.; Tang, Yifa Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative. (English) Zbl 1380.65141 J. Comput. Phys. 350, 1-15 (2017). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{S. Arshad} et al., J. Comput. Phys. 350, 1--15 (2017; Zbl 1380.65141) Full Text: DOI
Zhao, Yanmin; Chen, Pan; Bu, Weiping; Liu, Xiangtao; Tang, Yifa Two mixed finite element methods for time-fractional diffusion equations. (English) Zbl 1360.65245 J. Sci. Comput. 70, No. 1, 407-428 (2017). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 35R11 35K05 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Zhao} et al., J. Sci. Comput. 70, No. 1, 407--428 (2017; Zbl 1360.65245) Full Text: DOI
Yang, J. Y.; Zhao, Y. M.; Liu, N.; Bu, W. P.; Xu, T. L.; Tang, Y. F. An implicit MLS meshless method for 2-D time dependent fractional diffusion-wave equation. (English) Zbl 1432.65129 Appl. Math. Modelling 39, No. 3-4, 1229-1240 (2015). MSC: 65M06 35R11 45K05 65M12 76M20 PDFBibTeX XMLCite \textit{J. Y. Yang} et al., Appl. Math. Modelling 39, No. 3--4, 1229--1240 (2015; Zbl 1432.65129) Full Text: DOI
Bu, Weiping; Tang, Yifa; Wu, Yingchuan; Yang, Jiye Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations. (English) Zbl 1349.65440 J. Comput. Phys. 293, 264-279 (2015). MSC: 65M60 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{W. Bu} et al., J. Comput. Phys. 293, 264--279 (2015; Zbl 1349.65440) Full Text: DOI
Zhao, Yanmin; Bu, Weiping; Huang, Jianfei; Liu, Da-Yan; Tang, Yifa Finite element method for two-dimensional space-fractional advection-dispersion equations. (English) Zbl 1339.65185 Appl. Math. Comput. 257, 553-565 (2015). MSC: 65M60 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Appl. Math. Comput. 257, 553--565 (2015; Zbl 1339.65185) Full Text: DOI
Nie, Ningming; Huang, Jianfei; Wang, Wenjia; Tang, Yifa Solving spatial-fractional partial differential diffusion equations by spectral method. (English) Zbl 1453.65460 J. Stat. Comput. Simulation 84, No. 6, 1173-1189 (2014). MSC: 65R20 35R11 45K05 65M06 65M12 PDFBibTeX XMLCite \textit{N. Nie} et al., J. Stat. Comput. Simulation 84, No. 6, 1173--1189 (2014; Zbl 1453.65460) Full Text: DOI
Yang, J. Y.; Huang, J. F.; Liang, D. M.; Tang, Y. F. Numerical solution of fractional diffusion-wave equation based on fractional multistep method. (English) Zbl 1427.65196 Appl. Math. Modelling 38, No. 14, 3652-3661 (2014). MSC: 65M06 35R11 65M12 65R20 PDFBibTeX XMLCite \textit{J. Y. Yang} et al., Appl. Math. Modelling 38, No. 14, 3652--3661 (2014; Zbl 1427.65196) Full Text: DOI
Bu, Weiping; Tang, Yifa; Yang, Jiye Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations. (English) Zbl 1349.65441 J. Comput. Phys. 276, 26-38 (2014). MSC: 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{W. Bu} et al., J. Comput. Phys. 276, 26--38 (2014; Zbl 1349.65441) Full Text: DOI
Huang, Jianfei; Nie, Ningming; Tang, Yifa A second order finite difference-spectral method for space fractional diffusion equations. (English) Zbl 1305.65185 Sci. China, Math. 57, No. 6, 1303-1317 (2014). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65M12 35R11 65M15 35K20 PDFBibTeX XMLCite \textit{J. Huang} et al., Sci. China, Math. 57, No. 6, 1303--1317 (2014; Zbl 1305.65185) Full Text: DOI
Huang, Jianfei; Tang, Yifa; Vázquez, Luis; Yang, Jiye Two finite difference schemes for time fractional diffusion-wave equation. (English) Zbl 1284.65103 Numer. Algorithms 64, No. 4, 707-720 (2013). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M06 35L20 35R11 65R20 45K05 PDFBibTeX XMLCite \textit{J. Huang} et al., Numer. Algorithms 64, No. 4, 707--720 (2013; Zbl 1284.65103) Full Text: DOI
Huang, Jianfei; Tang, Yifa; Vázquez, Luis Convergence analysis of a block-by-block method for fractional differential equations. (English) Zbl 1265.65141 Numer. Math., Theory Methods Appl. 5, No. 2, 229-241 (2012). MSC: 65L20 34A08 PDFBibTeX XMLCite \textit{J. Huang} et al., Numer. Math., Theory Methods Appl. 5, No. 2, 229--241 (2012; Zbl 1265.65141) Full Text: DOI Link
Aleroev, T. S.; Aleroeva, H. T.; Nie, Ning-Ming; Tang, Yi-Fa Boundary value problems for differential equations of fractional order. (English) Zbl 1220.47061 Mem. Differ. Equ. Math. Phys. 49, 21-82 (2010). Reviewer: Abdelghani Ouahab (Sidi Bel Abbes) MSC: 47G10 34A08 34B15 PDFBibTeX XMLCite \textit{T. S. Aleroev} et al., Mem. Differ. Equ. Math. Phys. 49, 21--82 (2010; Zbl 1220.47061)