Liu, Huan; Zheng, Xiangcheng; Fu, Hongfei Analysis of a multi-term variable-order time-fractional diffusion equation and its Galerkin finite element approximation. (English) Zbl 1513.35096 J. Comput. Math. 40, No. 5, 818-838 (2022). MSC: 35B65 35R11 65M12 65M60 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Comput. Math. 40, No. 5, 818--838 (2022; Zbl 1513.35096) Full Text: DOI
Liu, Huan; Zheng, Xiangcheng; Wang, Hong; Fu, Hongfei Error estimate of finite element approximation for two-sided space-fractional evolution equation with variable coefficient. (English) Zbl 07435359 J. Sci. Comput. 90, No. 1, Paper No. 15, 19 p. (2022). MSC: 65Mxx 35Rxx 65Nxx PDFBibTeX XMLCite \textit{H. Liu} et al., J. Sci. Comput. 90, No. 1, Paper No. 15, 19 p. (2022; Zbl 07435359) Full Text: DOI
Liu, Huan; Zheng, Xiangcheng; Fu, Hongfei; Wang, Hong Analysis and efficient implementation of alternating direction implicit finite volume method for Riesz space-fractional diffusion equations in two space dimensions. (English) Zbl 07777724 Numer. Methods Partial Differ. Equations 37, No. 1, 818-835 (2021). MSC: 65M70 65M06 65N35 65M12 65F10 26A33 35R11 PDFBibTeX XMLCite \textit{H. Liu} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 818--835 (2021; Zbl 07777724) Full Text: DOI
Zhu, Chen; Zhang, Bingyin; Fu, Hongfei; Liu, Jun Efficient second-order ADI difference schemes for three-dimensional Riesz space-fractional diffusion equations. (English) Zbl 1524.65447 Comput. Math. Appl. 98, 24-39 (2021). MSC: 65M06 35R11 65M12 65M70 26A33 65F10 PDFBibTeX XMLCite \textit{C. Zhu} et al., Comput. Math. Appl. 98, 24--39 (2021; Zbl 1524.65447) Full Text: DOI
Zheng, Xiangcheng; Liu, Huan; Wang, Hong; Fu, Hongfei Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions. (English) Zbl 1462.65208 Appl. Numer. Math. 161, 1-12 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65M06 35R11 PDFBibTeX XMLCite \textit{X. Zheng} et al., Appl. Numer. Math. 161, 1--12 (2021; Zbl 1462.65208) Full Text: DOI
Liu, Jun; Zhu, Chen; Chen, Yanping; Fu, Hongfei A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations. (English) Zbl 1462.65162 Appl. Numer. Math. 160, 331-348 (2021). MSC: 65M70 65M06 65N35 65D07 65M12 35R11 PDFBibTeX XMLCite \textit{J. Liu} et al., Appl. Numer. Math. 160, 331--348 (2021; Zbl 1462.65162) Full Text: DOI
Jia, Jinhong; Zheng, Xiangcheng; Fu, Hongfei; Dai, Pingfei; Wang, Hong A fast method for variable-order space-fractional diffusion equations. (English) Zbl 1456.65132 Numer. Algorithms 85, No. 4, 1519-1540 (2020). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{J. Jia} et al., Numer. Algorithms 85, No. 4, 1519--1540 (2020; Zbl 1456.65132) Full Text: DOI arXiv
Fu, Hongfei; Liu, Huan; Zheng, Xiangcheng A preconditioned fast finite volume method for distributed-order diffusion equation and applications. (English) Zbl 1469.65140 East Asian J. Appl. Math. 9, No. 1, 28-44 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65F08 65F10 15B05 65K10 65T50 35R11 PDFBibTeX XMLCite \textit{H. Fu} et al., East Asian J. Appl. Math. 9, No. 1, 28--44 (2019; Zbl 1469.65140) Full Text: DOI
Fu, Hongfei; Liu, Huan; Wang, Hong A finite volume method for two-dimensional Riemann-Liouville space-fractional diffusion equation and its efficient implementation. (English) Zbl 1452.65189 J. Comput. Phys. 388, 316-334 (2019). MSC: 65M08 65M12 35R11 65F08 PDFBibTeX XMLCite \textit{H. Fu} et al., J. Comput. Phys. 388, 316--334 (2019; Zbl 1452.65189) Full Text: DOI
Liu, Jun; Fu, Hongfei; Chai, Xiaochao; Sun, Yanan; Guo, Hui Stability and convergence analysis of the quadratic spline collocation method for time-dependent fractional diffusion equations. (English) Zbl 1429.65249 Appl. Math. Comput. 346, 633-648 (2019). MSC: 65M70 35K57 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{J. Liu} et al., Appl. Math. Comput. 346, 633--648 (2019; Zbl 1429.65249) Full Text: DOI
Zheng, Xiangcheng; Liu, Huan; Wang, Hong; Fu, Hongfei An efficient finite volume method for nonlinear distributed-order space-fractional diffusion equations in three space dimensions. (English) Zbl 1428.65023 J. Sci. Comput. 80, No. 3, 1395-1418 (2019). MSC: 65M08 65M12 65H10 65F10 15B05 65M06 PDFBibTeX XMLCite \textit{X. Zheng} et al., J. Sci. Comput. 80, No. 3, 1395--1418 (2019; Zbl 1428.65023) Full Text: DOI
Liu, Jun; Fu, Hongfei; Wang, Hong; Chai, Xiaochao A preconditioned fast quadratic spline collocation method for two-sided space-fractional partial differential equations. (English) Zbl 1422.65285 J. Comput. Appl. Math. 360, 138-156 (2019). MSC: 65M70 65M06 65D07 65F10 65F08 15B05 35R11 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Comput. Appl. Math. 360, 138--156 (2019; Zbl 1422.65285) Full Text: DOI
Fu, Hongfei; Wang, Hong A preconditioned fast parareal finite difference method for space-time fractional partial differential equation. (English) Zbl 1415.65190 J. Sci. Comput. 78, No. 3, 1724-1743 (2019). MSC: 65M06 35R11 65F08 65F10 65M12 65T50 65Y05 PDFBibTeX XMLCite \textit{H. Fu} and \textit{H. Wang}, J. Sci. Comput. 78, No. 3, 1724--1743 (2019; Zbl 1415.65190) Full Text: DOI
Fu, Hongfei; Sun, Yanan; Wang, Hong; Zheng, Xiangcheng Stability and convergence of a Crank-Nicolson finite volume method for space fractional diffusion equations. (English) Zbl 1411.65120 Appl. Numer. Math. 139, 38-51 (2019). MSC: 65M08 35R11 65F10 65M12 PDFBibTeX XMLCite \textit{H. Fu} et al., Appl. Numer. Math. 139, 38--51 (2019; Zbl 1411.65120) Full Text: DOI
fu, Hongfei; Wang, Hong A preconditioned fast finite difference method for space-time fractional partial differential equations. (English) Zbl 1360.65221 Fract. Calc. Appl. Anal. 20, No. 1, 88-116 (2017). MSC: 65M06 35R11 65F10 65M22 65T50 PDFBibTeX XMLCite \textit{H. fu} and \textit{H. Wang}, Fract. Calc. Appl. Anal. 20, No. 1, 88--116 (2017; Zbl 1360.65221) Full Text: DOI