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
Mohammadi-Firouzjaei, Hadi; Adibi, Hojatollah; Dehghan, Mehdi Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: stability analysis. (English) Zbl 1505.65266 Appl. Numer. Math. 184, 567-580 (2023). MSC: 65M60 65M06 65N30 65M12 35R09 35B35 45K05 45E10 PDFBibTeX XMLCite \textit{H. Mohammadi-Firouzjaei} et al., Appl. Numer. Math. 184, 567--580 (2023; Zbl 1505.65266) Full Text: DOI
Qiu, Wenlin; Xu, Da; Guo, Jing A formally second-order backward differentiation formula sinc-collocation method for the Volterra integro-differential equation with a weakly singular kernel based on the double exponential transformation. (English) Zbl 07778273 Numer. Methods Partial Differ. Equations 38, No. 4, 830-847 (2022). MSC: 65M70 65M06 65N35 65M12 65M15 45D05 45K05 26A33 35R11 PDFBibTeX XMLCite \textit{W. Qiu} et al., Numer. Methods Partial Differ. Equations 38, No. 4, 830--847 (2022; Zbl 07778273) 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, Yuan-Ming; Zhang, Yu-Jia A Crank-Nicolson-type compact difference method with the uniform time step for a class of weakly singular parabolic integro-differential equations. (English) Zbl 1484.65346 Appl. Numer. Math. 172, 566-590 (2022). MSC: 65R20 45K05 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{Y.-M. Wang} and \textit{Y.-J. Zhang}, Appl. Numer. Math. 172, 566--590 (2022; Zbl 1484.65346) 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
Qiao, Leijie; Qiu, Wenlin; Xu, Da A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem. (English) Zbl 1524.65386 Comput. Math. Appl. 102, 137-145 (2021). MSC: 65M06 35K57 35R11 45K05 65M12 65M22 65M50 65R20 PDFBibTeX XMLCite \textit{L. Qiao} et al., Comput. Math. Appl. 102, 137--145 (2021; Zbl 1524.65386) Full Text: DOI
Hu, Shufang; Qiu, Wenlin; Chen, Hongbin A backward Euler difference scheme for the integro-differential equations with the multi-term kernels. (English) Zbl 1483.65216 Int. J. Comput. Math. 97, No. 6, 1254-1267 (2020). MSC: 65R20 65M06 45K05 65M12 PDFBibTeX XMLCite \textit{S. Hu} et al., Int. J. Comput. Math. 97, No. 6, 1254--1267 (2020; Zbl 1483.65216) Full Text: DOI
Chen, Hongbin; Xu, Da; Cao, Jiliang; Zhou, Jun A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation. (English) Zbl 1480.65207 Int. J. Comput. Math. 97, No. 5, 1100-1117 (2020). MSC: 65M06 35R11 45K05 65D32 PDFBibTeX XMLCite \textit{H. Chen} et al., Int. J. Comput. Math. 97, No. 5, 1100--1117 (2020; Zbl 1480.65207) Full Text: DOI
Soradi, Zeid Samaneh; Mesrizadeh, Mehdi The method of lines for parabolic integro-differential equations. (English) Zbl 1488.65372 J. Math. Model. 8, No. 3, 291-308 (2020). MSC: 65M20 34K10 45K05 65L06 35R03 PDFBibTeX XMLCite \textit{Z. S. Soradi} and \textit{M. Mesrizadeh}, J. Math. Model. 8, No. 3, 291--308 (2020; Zbl 1488.65372) Full Text: DOI
Zhou, Jun; Xu, Da Alternating direction implicit difference scheme for the multi-term time-fractional integro-differential equation with a weakly singular kernel. (English) Zbl 1443.65153 Comput. Math. Appl. 79, No. 2, 244-255 (2020). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{D. Xu}, Comput. Math. Appl. 79, No. 2, 244--255 (2020; Zbl 1443.65153) Full Text: DOI
Xu, Da; Guo, Jing; Qiu, Wenlin Time two-grid algorithm based on finite difference method for two-dimensional nonlinear fractional evolution equations. (English) Zbl 1440.65103 Appl. Numer. Math. 152, 169-184 (2020). MSC: 65M06 65N06 65M55 65D30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{D. Xu} et al., Appl. Numer. Math. 152, 169--184 (2020; Zbl 1440.65103) Full Text: DOI
Qiu, Wenlin; Chen, Hongbin; Zheng, Xuan An implicit difference scheme and algorithm implementation for the one-dimensional time-fractional Burgers equations. (English) Zbl 07316773 Math. Comput. Simul. 166, 298-314 (2019). MSC: 65Mxx 35Rxx 35Kxx PDFBibTeX XMLCite \textit{W. Qiu} et al., Math. Comput. Simul. 166, 298--314 (2019; Zbl 07316773) Full Text: DOI
Qiao, Leijie; Xu, Da; Wang, Zhibo An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel. (English) Zbl 1429.65196 Appl. Math. Comput. 354, 103-114 (2019). MSC: 65M06 45K05 65M12 PDFBibTeX XMLCite \textit{L. Qiao} et al., Appl. Math. Comput. 354, 103--114 (2019; Zbl 1429.65196) Full Text: DOI
Zhou, Jun; Xu, Da; Dai, Xiuxiu Weak Galerkin finite element method for the parabolic integro-differential equation with weakly singular kernel. (English) Zbl 1438.65303 Comput. Appl. Math. 38, No. 2, Paper No. 38, 12 p. (2019). MSC: 65N30 65N12 65N15 35J50 35R09 45K05 65M06 PDFBibTeX XMLCite \textit{J. Zhou} et al., Comput. Appl. Math. 38, No. 2, Paper No. 38, 12 p. (2019; Zbl 1438.65303) Full Text: DOI
Chen, Hongbin; Xu, Da; Zhou, Jun A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel. (English) Zbl 1524.65327 J. Comput. Appl. Math. 356, 152-163 (2019). MSC: 65M06 65R20 45K05 35R11 65M15 65N06 26A33 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Comput. Appl. Math. 356, 152--163 (2019; Zbl 1524.65327) Full Text: DOI
Zhang, Haixiang; Yang, Xuehua The BDF orthogonal spline collocation method for the two-dimensional evolution equation with memory. (English) Zbl 1499.65587 Int. J. Comput. Math. 95, No. 10, 2011-2025 (2018). MSC: 65M70 65M06 65D07 65N35 65M12 65M15 35R09 45K05 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{X. Yang}, Int. J. Comput. Math. 95, No. 10, 2011--2025 (2018; Zbl 1499.65587) Full Text: DOI
Qiao, Leijie; Xu, Da Compact alternating direction implicit scheme for integro-differential equations of parabolic type. (English) Zbl 1445.65050 J. Sci. Comput. 76, No. 1, 565-582 (2018). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{L. Qiao} and \textit{D. Xu}, J. Sci. Comput. 76, No. 1, 565--582 (2018; Zbl 1445.65050) Full Text: DOI
Chen, Hongbin; Xu, Da; Peng, Yulong A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation. (English) Zbl 1443.65439 Appl. Math. Modelling 41, 54-67 (2017). MSC: 65R20 45K05 26A33 65M06 65M12 PDFBibTeX XMLCite \textit{H. Chen} et al., Appl. Math. Modelling 41, 54--67 (2017; Zbl 1443.65439) Full Text: DOI
Ma, Jingtang; Zhou, Zhiqiang Moving finite element methods for a system of semi-linear fractional diffusion equations. (English) Zbl 1488.65447 Adv. Appl. Math. Mech. 8, No. 6, 911-931 (2016). MSC: 65M60 65M12 65M06 35S10 65R20 65N30 92D25 92-08 35Q92 26A33 35R11 PDFBibTeX XMLCite \textit{J. Ma} and \textit{Z. Zhou}, Adv. Appl. Math. Mech. 8, No. 6, 911--931 (2016; Zbl 1488.65447) Full Text: DOI
Chen, Hongbin; Gan, Siqing; Xu, Da; Liu, Qiwen A second-order BDF compact difference scheme for fractional-order Volterra equation. (English) Zbl 1347.65193 Int. J. Comput. Math. 93, No. 7, 1140-1154 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45D05 26A33 PDFBibTeX XMLCite \textit{H. Chen} et al., Int. J. Comput. Math. 93, No. 7, 1140--1154 (2016; Zbl 1347.65193) Full Text: DOI
Luo, Man; Xu, Da; Li, Limei A compact difference scheme for a partial integro-differential equation with a weakly singular kernel. (English) Zbl 1432.65198 Appl. Math. Modelling 39, No. 2, 947-954 (2015). MSC: 65R20 45K05 65M06 65M12 PDFBibTeX XMLCite \textit{M. Luo} et al., Appl. Math. Modelling 39, No. 2, 947--954 (2015; Zbl 1432.65198) Full Text: DOI
Chen, Hongbin; Xu, Da; Peng, Yulong An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation. (English) Zbl 1332.65187 Int. J. Comput. Math. 92, No. 10, 2178-2197 (2015). Reviewer: Vit Dolejsi (Praha) MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{H. Chen} et al., Int. J. Comput. Math. 92, No. 10, 2178--2197 (2015; Zbl 1332.65187) Full Text: DOI
Li, Limei; Xu, Da Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation. (English) Zbl 1286.65101 J. Comput. Phys. 236, 157-168 (2013). MSC: 65M06 26A33 PDFBibTeX XMLCite \textit{L. Li} and \textit{D. Xu}, J. Comput. Phys. 236, 157--168 (2013; Zbl 1286.65101) Full Text: DOI