Zhou, Ziyi; Zhang, Haixiang; Yang, Xuehua The compact difference scheme for the fourth-order nonlocal evolution equation with a weakly singular kernel. (English) Zbl 07782119 Math. Methods Appl. Sci. 46, No. 5, 5422-5447 (2023). MSC: 65R20 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Math. Methods Appl. Sci. 46, No. 5, 5422--5447 (2023; Zbl 07782119) Full Text: DOI
Wu, Lijiao; Zhang, Haixiang; Yang, Xuehua The finite difference method for the fourth-order partial integro-differential equations with the multi-term weakly singular kernel. (English) Zbl 07781314 Math. Methods Appl. Sci. 46, No. 2, 2517-2537 (2023). MSC: 65N12 65N30 35K61 PDFBibTeX XMLCite \textit{L. Wu} et al., Math. Methods Appl. Sci. 46, No. 2, 2517--2537 (2023; Zbl 07781314) Full Text: DOI
Qiu, Wenlin; Fairweather, Graeme; Yang, Xuehua; Zhang, Haixiang ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations. (English) Zbl 07739303 Calcolo 60, No. 3, Paper No. 41, 34 p. (2023). MSC: 65M60 65M06 65N30 35R09 65M15 65M22 65M60 45K05 PDFBibTeX XMLCite \textit{W. Qiu} et al., Calcolo 60, No. 3, Paper No. 41, 34 p. (2023; Zbl 07739303) Full Text: DOI
Zhou, Ziyi; Zhang, Haixiang; Yang, Xuehua; Tang, Jie An efficient ADI difference scheme for the nonlocal evolution equation with multi-term weakly singular kernels in three dimensions. (English) Zbl 07727803 Int. J. Comput. Math. 100, No. 8, 1719-1736 (2023). MSC: 45K05 65M06 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Int. J. Comput. Math. 100, No. 8, 1719--1736 (2023; Zbl 07727803) Full Text: DOI
Yang, Biao; Zhang, Haixiang; Jiang, Xiaoxuan; Yang, Xuehua An implicit difference scheme for the fourth-order nonlinear partial integro-differential equations. (English) Zbl 1522.65266 Appl. Anal. 102, No. 8, 2314-2337 (2023). MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{B. Yang} et al., Appl. Anal. 102, No. 8, 2314--2337 (2023; Zbl 1522.65266) Full Text: DOI
Tian, Qingqing; Yang, Xuehua; Zhang, Haixiang; Xu, Da An implicit robust numerical scheme with graded meshes for the modified Burgers model with nonlocal dynamic properties. (English) Zbl 07714804 Comput. Appl. Math. 42, No. 6, Paper No. 246, 26 p. (2023). MSC: 65-XX 26A33 45K05 65M12 65M22 65M60 PDFBibTeX XMLCite \textit{Q. Tian} et al., Comput. Appl. Math. 42, No. 6, Paper No. 246, 26 p. (2023; Zbl 07714804) Full Text: DOI
Zhang, Haixiang; Liu, Yuan; Yang, Xuehua An efficient ADI difference scheme for the nonlocal evolution problem in three-dimensional space. (English) Zbl 1515.65338 J. Appl. Math. Comput. 69, No. 1, 651-674 (2023). MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{H. Zhang} et al., J. Appl. Math. Comput. 69, No. 1, 651--674 (2023; Zbl 1515.65338) Full Text: DOI
Qiu, Wenlin; Xu, Da; Yang, Xuehua; Zhang, Haixiang The efficient ADI Galerkin finite element methods for the three-dimensional nonlocal evolution problem arising in viscoelastic mechanics. (English) Zbl 07675800 Discrete Contin. Dyn. Syst., Ser. B 28, No. 5, 3079-3106 (2023). MSC: 65M60 65M06 65N30 65D30 65M12 65M22 76A10 74H15 74D05 35Q74 PDFBibTeX XMLCite \textit{W. Qiu} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 5, 3079--3106 (2023; Zbl 07675800) Full Text: DOI
Tian, Qingqing; Zhang, Haixiang; Yang, Xuehua; Jiang, Xiaoxuan An implicit difference scheme for the fourth-order nonlinear non-local PIDEs with a weakly singular kernel. (English) Zbl 1513.65536 Comput. Appl. Math. 41, No. 7, Paper No. 328, 32 p. (2022). MSC: 65R20 65M06 35R11 45K05 PDFBibTeX XMLCite \textit{Q. Tian} et al., Comput. Appl. Math. 41, No. 7, Paper No. 328, 32 p. (2022; Zbl 1513.65536) Full Text: DOI
Wu, Lijiao; Zhang, Haixiang; Yang, Xuehua; Wang, Furong A second-order finite difference method for the multi-term fourth-order integral-differential equations on graded meshes. (English) Zbl 1513.65316 Comput. Appl. Math. 41, No. 7, Paper No. 313, 19 p. (2022). MSC: 65M06 65N06 65N12 26A33 35R11 35R09 35K61 PDFBibTeX XMLCite \textit{L. Wu} et al., Comput. Appl. Math. 41, No. 7, Paper No. 313, 19 p. (2022; Zbl 1513.65316) Full Text: DOI
Yang, Biao; Zhang, Haixiang; Yang, Xuehua; Tang, Liang ADI Galerkin finite element scheme for the two-dimensional semilinear partial intergro-differential equation with a weakly singular kernel. (English) Zbl 1496.65189 J. Appl. Math. Comput. 68, No. 4, 2471-2491 (2022). MSC: 65M70 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{B. Yang} et al., J. Appl. Math. Comput. 68, No. 4, 2471--2491 (2022; Zbl 1496.65189) Full Text: DOI
Wang, Furong; Yang, Xuehua; Zhang, Haixiang; Wu, Lijiao A time two-grid algorithm for the two dimensional nonlinear fractional PIDE with a weakly singular kernel. (English) Zbl 07538449 Math. Comput. Simul. 199, 38-59 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{F. Wang} et al., Math. Comput. Simul. 199, 38--59 (2022; Zbl 07538449) Full Text: DOI
Zhang, Haixiang; Yang, Xuehua; Tang, Qiong; Xu, Da A robust error analysis of the OSC method for a multi-term fourth-order sub-diffusion equation. (English) Zbl 1524.65694 Comput. Math. Appl. 109, 180-190 (2022). MSC: 65M70 35R11 65M06 65M12 65M15 65D07 35B45 PDFBibTeX XMLCite \textit{H. Zhang} et al., Comput. Math. Appl. 109, 180--190 (2022; Zbl 1524.65694) Full Text: DOI
Yang, Xuehua; Qiu, Wenlin; Chen, Haifan; Zhang, Haixiang Second-order BDF ADI Galerkin finite element method for the evolutionary equation with a nonlocal term in three-dimensional space. (English) Zbl 1484.65236 Appl. Numer. Math. 172, 497-513 (2022). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{X. Yang} et al., Appl. Numer. Math. 172, 497--513 (2022; Zbl 1484.65236) Full Text: DOI
Liu, Yuan; Zhang, Haixiang; Yang, Xuehua; Liu, Yanling The BDF2 FDM for the fourth-order equations with the multi-term R-L fractional integral kernels. (English) Zbl 07775890 Numer. Methods Partial Differ. Equations 37, No. 6, 3042-3061 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Liu} et al., Numer. Methods Partial Differ. Equations 37, No. 6, 3042--3061 (2021; Zbl 07775890) Full Text: DOI
Liu, Xingguo; Yang, Xuehua; Zhang, Haixiang; Liu, Yanling Discrete singular convolution for fourth-order multi-term time fractional equation. (English) Zbl 07534877 Tbil. Math. J. 14, No. 2, 1-16 (2021). MSC: 65-XX 35K61 65N12 65N30 PDFBibTeX XMLCite \textit{X. Liu} et al., Tbil. Math. J. 14, No. 2, 1--16 (2021; Zbl 07534877) Full Text: DOI
Yang, Xuehua; Qiu, Wenlin; Zhang, Haixiang; Tang, Liang An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation. (English) Zbl 1524.65430 Comput. Math. Appl. 102, 233-247 (2021). MSC: 65M06 35R11 65M12 26A33 65N06 PDFBibTeX XMLCite \textit{X. Yang} et al., Comput. Math. Appl. 102, 233--247 (2021; Zbl 1524.65430) Full Text: DOI
Liu, Yanling; Yang, Xuehua; Zhang, Haixiang; Liu, Yuan Analysis of BDF2 finite difference method for fourth-order integro-differential equation. (English) Zbl 1476.65180 Comput. Appl. Math. 40, No. 2, Paper No. 57, 20 p. (2021). MSC: 65M06 35R11 45K05 65M12 65M15 65R20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Appl. Math. 40, No. 2, Paper No. 57, 20 p. (2021; Zbl 1476.65180) Full Text: DOI
Zhang, Haixiang; Yang, Xuehua; Xu, Da An efficient spline collocation method for a nonlinear fourth-order reaction subdiffusion equation. (English) Zbl 1450.65092 J. Sci. Comput. 85, No. 1, Paper No. 7, 17 p. (2020). MSC: 65M06 65N35 65D07 65N12 35K61 35R11 26A33 PDFBibTeX XMLCite \textit{H. Zhang} et al., J. Sci. Comput. 85, No. 1, Paper No. 7, 17 p. (2020; Zbl 1450.65092) Full Text: DOI