Wang, Xiaoying; Xu, Jie; Fu, Hongfei A linearlized mass-conservative fourth-order block-centered finite difference method for the semilinear Sobolev equation with variable coefficients. (English) Zbl 07793582 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107778, 23 p. (2024). MSC: 65M06 65N06 65B05 65M12 65M15 76A10 76M20 35Q35 PDFBibTeX XMLCite \textit{X. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107778, 23 p. (2024; Zbl 07793582) Full Text: DOI
Wang, Yanjie; Xie, Shusen; Fu, Hongfei Efficient, linearized high-order compact difference schemes for nonlinear parabolic equations. I: One-dimensional problem. (English) Zbl 07776973 Numer. Methods Partial Differ. Equations 39, No. 2, 1529-1557 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Wang} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1529--1557 (2023; Zbl 07776973) Full Text: DOI
Fu, Hongfei; Zhang, Bingyin; Zheng, Xiangcheng A high-order two-grid difference method for nonlinear time-fractional biharmonic problems and its unconditional \(\alpha\)-robust error estimates. (English) Zbl 07708331 J. Sci. Comput. 96, No. 2, Paper No. 54, 34 p. (2023). MSC: 65-XX 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{H. Fu} et al., J. Sci. Comput. 96, No. 2, Paper No. 54, 34 p. (2023; Zbl 07708331) Full Text: DOI
Wang, Xiaoying; Fu, Hongfei Two linearized second-order block-centered finite difference methods for nonlinear Sobolev equations. (English) Zbl 1524.65413 Comput. Appl. Math. 42, No. 5, Paper No. 222, 24 p. (2023). MSC: 65M06 65M12 65M15 65B05 65F50 65H10 65N06 PDFBibTeX XMLCite \textit{X. Wang} and \textit{H. Fu}, Comput. Appl. Math. 42, No. 5, Paper No. 222, 24 p. (2023; Zbl 1524.65413) 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
Xu, Jie; Xie, Shusen; Fu, Hongfei A two-grid block-centered finite difference method for the nonlinear regularized long wave equation. (English) Zbl 1519.65023 Appl. Numer. Math. 171, 128-148 (2022). MSC: 65M06 65N06 65N55 65N50 65M50 65H10 65F10 35Q35 35Q53 PDFBibTeX XMLCite \textit{J. Xu} et al., Appl. Numer. Math. 171, 128--148 (2022; Zbl 1519.65023) 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
Zheng, Xiangcheng; Wang, Hong; Fu, Hongfei Well-posedness of fractional differential equations with variable-order Caputo-Fabrizio derivative. (English) Zbl 1490.35533 Chaos Solitons Fractals 138, Article ID 109966, 7 p. (2020). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{X. Zheng} et al., Chaos Solitons Fractals 138, Article ID 109966, 7 p. (2020; Zbl 1490.35533) 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
Zhang, Jiansong; Shen, Xiaomang; Guo, Hui; Fu, Hongfei; Han, Huiran Characteristic splitting mixed finite element analysis of compressible wormhole propagation. (English) Zbl 1435.65169 Appl. Numer. Math. 147, 66-87 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M25 76M10 76S05 76N15 65N30 76R50 65M12 65M15 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Numer. Math. 147, 66--87 (2020; Zbl 1435.65169) Full Text: DOI
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
Zhang, Jiansong; Zhang, Yuezhi; Guo, Hui; Fu, Hongfei A mass-conservative characteristic splitting mixed finite element method for convection-dominated Sobolev equation. (English) Zbl 07316665 Math. Comput. Simul. 160, 180-191 (2019). MSC: 65Mxx 35Qxx 35Kxx PDFBibTeX XMLCite \textit{J. Zhang} et al., Math. Comput. Simul. 160, 180--191 (2019; Zbl 07316665) 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; Wang, Zhu POD/DEIM reduced-order modeling of time-fractional partial differential equations with applications in parameter identification. (English) Zbl 1404.65140 J. Sci. Comput. 74, No. 1, 220-243 (2018). MSC: 65M32 35R11 65M06 65M22 65K05 90C30 PDFBibTeX XMLCite \textit{H. Fu} et al., J. Sci. Comput. 74, No. 1, 220--243 (2018; Zbl 1404.65140) Full Text: DOI arXiv
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
Fu, Hongfei; Guo, Hui; Hou, Jian; Zhao, Junlong A stabilized mixed finite element method for steady and unsteady reaction-diffusion equations. (English) Zbl 1425.65158 Comput. Methods Appl. Mech. Eng. 304, 102-117 (2016). MSC: 65N30 65N15 65N22 PDFBibTeX XMLCite \textit{H. Fu} et al., Comput. Methods Appl. Mech. Eng. 304, 102--117 (2016; Zbl 1425.65158) Full Text: DOI
Fu, Hongfei; Rui, Hongxing; Hou, Jian; Li, Haihong A stabilized mixed finite element method for elliptic optimal control problems. (English) Zbl 1372.49038 J. Sci. Comput. 66, No. 3, 968-986 (2016); erratum ibid. 66, No. 3, 987-990 (2016). MSC: 49M25 49K20 65N15 65N30 PDFBibTeX XMLCite \textit{H. Fu} et al., J. Sci. Comput. 66, No. 3, 968--986 (2016; Zbl 1372.49038) Full Text: DOI
Fu, Hongfei; Rui, Hongxing; Zhou, Zhaojie A posteriori error estimates for optimal control problems constrained by convection-diffusion equations. (English) Zbl 1334.49084 Front. Math. China 11, No. 1, 55-75 (2016). MSC: 49M25 49J20 49K20 65M60 65M25 65M15 PDFBibTeX XMLCite \textit{H. Fu} et al., Front. Math. China 11, No. 1, 55--75 (2016; Zbl 1334.49084) Full Text: DOI
Zhang, Jiansong; Fu, Hongfei; Guo, Hui A new parallel subspace correction method for advection-diffusion equation. (English) Zbl 1330.65139 J. Appl. Math. Comput. 50, No. 1-2, 299-314 (2016). MSC: 65M15 65M25 65M55 65M60 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Appl. Math. Comput. 50, No. 1--2, 299--314 (2016; Zbl 1330.65139) Full Text: DOI
Zhou, Zhaojie; Fu, Hongfei A posteriori error estimates for continuous interior penalty Galerkin approximation of transient convection diffusion optimal control problems. (English) Zbl 1305.65163 Bound. Value Probl. 2014, Paper No. 207, 19 p. (2014). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{H. Fu}, Bound. Value Probl. 2014, Paper No. 207, 19 p. (2014; Zbl 1305.65163) Full Text: DOI
Guo, Hui; Fu, Hongfei; Zhang, Jiansong A splitting positive definite mixed finite element method for elliptic optimal control problem. (English) Zbl 1304.65249 Appl. Math. Comput. 219, No. 24, 11178-11190 (2013). MSC: 65N30 49M25 PDFBibTeX XMLCite \textit{H. Guo} et al., Appl. Math. Comput. 219, No. 24, 11178--11190 (2013; Zbl 1304.65249) Full Text: DOI
Guo, Hui; Zhang, Jiansong; Fu, Hongfei Two splitting positive definite mixed finite element methods for parabolic integro-differential equations. (English) Zbl 1280.65146 Appl. Math. Comput. 218, No. 22, 11255-11268 (2012). MSC: 65R20 45K05 45A05 PDFBibTeX XMLCite \textit{H. Guo} et al., Appl. Math. Comput. 218, No. 22, 11255--11268 (2012; Zbl 1280.65146) Full Text: DOI
Zhang, Jiansong; Yang, Danping; Fu, Hongfei; Guo, Hui Parallel characteristic finite element method for time-dependent convection-diffusion problem. (English) Zbl 1265.65205 Numer. Linear Algebra Appl. 18, No. 4, 695-705 (2011). Reviewer: Tomáš Kozubek (Ostrava) MSC: 65M60 65M55 65M25 65M12 65Y05 35K20 PDFBibTeX XMLCite \textit{J. Zhang} et al., Numer. Linear Algebra Appl. 18, No. 4, 695--705 (2011; Zbl 1265.65205) Full Text: DOI