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
Jing, Yinlong; Li, Can Block-centered finite difference method for a tempered subdiffusion model with time-dependent coefficients. (English) Zbl 07731329 Comput. Math. Appl. 145, 202-223 (2023). MSC: 65M06 35R11 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{Y. Jing} and \textit{C. Li}, Comput. Math. Appl. 145, 202--223 (2023; Zbl 07731329) Full Text: DOI
Yuan, Yirang; Li, Changfeng; Sun, Tongjun; Yang, Qing A mixed finite element and characteristic mixed finite element for incompressible miscible Darcy-Forchheimer displacement and numerical analysis. (English) Zbl 1515.65252 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 5, 2026-2042 (2023). MSC: 65M60 65M12 65M15 65F10 PDFBibTeX XMLCite \textit{Y. Yuan} et al., Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 5, 2026--2042 (2023; Zbl 1515.65252) Full Text: DOI
Fan, Gexian; Liu, Wei; Song, Yingxue A modified-upwind with block-centred finite difference scheme based on the two-grid algorithm for convection-diffusion-reaction equations. (English) Zbl 1524.65493 Int. J. Comput. Math. 100, No. 5, 1009-1030 (2023). MSC: 65M55 65N06 65N12 65N15 65M06 76R50 PDFBibTeX XMLCite \textit{G. Fan} et al., Int. J. Comput. Math. 100, No. 5, 1009--1030 (2023; Zbl 1524.65493) 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
Feng, Wenjing; Guo, Hui; Tian, Lulu; Yang, Yang Sign-preserving second-order IMPEC time discretization and its application in compressible miscible displacement with Darcy-Forchheimer models. (English) Zbl 07640541 J. Comput. Phys. 474, Article ID 111775, 28 p. (2023). MSC: 65Mxx 76Mxx 76Sxx PDFBibTeX XMLCite \textit{W. Feng} et al., J. Comput. Phys. 474, Article ID 111775, 28 p. (2023; Zbl 07640541) Full Text: DOI
Li, Ao; Huang, Jian; Liu, Wei; Wei, Huayi; Yi, Nianyu A characteristic block-centered finite difference method for Darcy-Forchheimer compressible miscible displacement problem. (English) Zbl 1489.65153 J. Comput. Appl. Math. 413, Article ID 114303, 21 p. (2022). MSC: 65N06 65N12 35K55 35Q35 PDFBibTeX XMLCite \textit{A. Li} et al., J. Comput. Appl. Math. 413, Article ID 114303, 21 p. (2022; Zbl 1489.65153) Full Text: DOI
Tian, Lulu; Guo, Hui; Jia, Rui; Yang, Yang Stability analysis and error estimates of fully-discrete local discontinuous Galerkin methods for simulating wormhole propagation with Darcy-Forchheimer model. (English) Zbl 1490.65211 J. Comput. Appl. Math. 409, Article ID 114158, 25 p. (2022). MSC: 65M60 65M12 65M15 76Nxx 76S05 PDFBibTeX XMLCite \textit{L. Tian} et al., J. Comput. Appl. Math. 409, Article ID 114158, 25 p. (2022; Zbl 1490.65211) Full Text: DOI
Han, Huiran; Zhang, Jiansong; Ji, Bingjie; Yu, Yue; Yu, Yun A new symmetric mixed element method for semi-linear parabolic problem based on two-grid discretization. (English) Zbl 1524.65542 Comput. Math. Appl. 108, 206-215 (2022). MSC: 65M60 65M12 65N30 65M15 65M55 35K58 65M06 PDFBibTeX XMLCite \textit{H. Han} et al., Comput. Math. Appl. 108, 206--215 (2022; Zbl 1524.65542) 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
Yao, Changhui; Li, Yanfei Modified two-grid algorithm for nonlinear power-law conductivity in Maxwell’s problems with high accuracy. (English) Zbl 1488.65480 Adv. Appl. Math. Mech. 13, No. 2, 481-502 (2021). MSC: 65M60 65M06 65N30 65N12 65M15 65M55 65D05 41A58 78A25 78M10 78M20 35Q61 PDFBibTeX XMLCite \textit{C. Yao} and \textit{Y. Li}, Adv. Appl. Math. Mech. 13, No. 2, 481--502 (2021; Zbl 1488.65480) Full Text: DOI
Zhang, Jiansong; Han, Huiran; Yu, Yun; Liu, Jun A new two-grid mixed finite element analysis of semi-linear reaction-diffusion equation. (English) Zbl 1524.65628 Comput. Math. Appl. 92, 172-179 (2021). MSC: 65M60 65M12 65N30 65M15 65M06 65M55 65H10 65N50 PDFBibTeX XMLCite \textit{J. Zhang} et al., Comput. Math. Appl. 92, 172--179 (2021; Zbl 1524.65628) Full Text: DOI
Liu, Wei; Cui, Jintao; Wang, Zhifeng A finite difference approximation of reduced coupled model for slightly compressible Forchheimer fractures in Karst aquifer system. (English) Zbl 1434.65124 Numer. Algorithms 84, No. 1, 133-163 (2020). MSC: 65M06 65M12 65M15 35Q35 PDFBibTeX XMLCite \textit{W. Liu} et al., Numer. Algorithms 84, No. 1, 133--163 (2020; Zbl 1434.65124) Full Text: DOI
Tian, Lulu; Guo, Hui; Jia, Rui; Yang, Yang An \(h-\) adaptive local discontinuous Galerkin method for simulating wormhole propagation with Darcy-Forcheiner model. (English) Zbl 1434.65193 J. Sci. Comput. 82, No. 2, Paper No. 43, 26 p. (2020). MSC: 65M60 65M15 76S05 65M50 76M10 PDFBibTeX XMLCite \textit{L. Tian} et al., J. Sci. Comput. 82, No. 2, Paper No. 43, 26 p. (2020; Zbl 1434.65193) Full Text: DOI
Liu, Wei; Cui, Jintao; Wang, Zhifeng Numerical analysis and modeling of multiscale Forchheimer-forchheimer coupled model for compressible fluid flow in fractured media aquifer system. (English) Zbl 1428.76135 Appl. Math. Comput. 353, 7-28 (2019). MSC: 76M20 65M06 65M12 65M15 76S05 86A05 PDFBibTeX XMLCite \textit{W. Liu} et al., Appl. Math. Comput. 353, 7--28 (2019; Zbl 1428.76135) Full Text: DOI