Salehi Shayegan, Amir Hossein Coupling RBF-based meshless method and Landweber iteration algorithm for approximating a space-dependent source term in a time fractional diffusion equation. (English) Zbl 1496.65148 J. Comput. Appl. Math. 417, Article ID 114531, 14 p. (2023). MSC: 65M32 35R30 65D12 PDFBibTeX XMLCite \textit{A. H. Salehi Shayegan}, J. Comput. Appl. Math. 417, Article ID 114531, 14 p. (2023; Zbl 1496.65148) Full Text: DOI
Chen, Yanping; Li, Qingfeng; Yi, Huaming; Huang, Yunqing Immersed finite element method for time fractional diffusion problems with discontinuous coefficients. (English) Zbl 1504.65200 Comput. Math. Appl. 128, 121-129 (2022). MSC: 65M60 35R11 65M12 65M15 65R20 PDFBibTeX XMLCite \textit{Y. Chen} et al., Comput. Math. Appl. 128, 121--129 (2022; Zbl 1504.65200) Full Text: DOI
Hu, Xindi; Zhu, Shengfeng On geometric inverse problems in time-fractional subdiffusion. (English) Zbl 1501.35437 SIAM J. Sci. Comput. 44, No. 6, A3560-A3591 (2022). MSC: 35R11 35R30 35K20 49Q10 65M60 PDFBibTeX XMLCite \textit{X. Hu} and \textit{S. Zhu}, SIAM J. Sci. Comput. 44, No. 6, A3560--A3591 (2022; Zbl 1501.35437) Full Text: DOI
Tang, Shaoqiang; Pang, Gang Accurate boundary treatment for Riesz space fractional diffusion equations. (English) Zbl 1517.65080 J. Sci. Comput. 89, No. 2, Paper No. 42, 27 p. (2021). Reviewer: Petr Sváček (Praha) MSC: 65M22 41A58 26A33 35R11 PDFBibTeX XMLCite \textit{S. Tang} and \textit{G. Pang}, J. Sci. Comput. 89, No. 2, Paper No. 42, 27 p. (2021; Zbl 1517.65080) Full Text: DOI
Bai, Zhong-Zhi; Lu, Kang-Ya Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations. (English) Zbl 1466.49029 Appl. Numer. Math. 163, 126-146 (2021). MSC: 49M41 26A33 35R11 49M25 65F08 65M22 PDFBibTeX XMLCite \textit{Z.-Z. Bai} and \textit{K.-Y. Lu}, Appl. Numer. Math. 163, 126--146 (2021; Zbl 1466.49029) Full Text: DOI
Shen, Hai-Long; Li, Yu-Han; Shao, Xin-Hui A GPIU method for fractional diffusion equations. (English) Zbl 1486.65130 Adv. Difference Equ. 2020, Paper No. 398, 17 p. (2020). MSC: 65M06 65M12 35R11 65F05 PDFBibTeX XMLCite \textit{H.-L. Shen} et al., Adv. Difference Equ. 2020, Paper No. 398, 17 p. (2020; Zbl 1486.65130) Full Text: DOI
Cheng, Xiujun; Duan, Jinqiao; Li, Dongfang A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations. (English) Zbl 1429.65216 Appl. Math. Comput. 346, 452-464 (2019). MSC: 65M12 65M06 35R11 PDFBibTeX XMLCite \textit{X. Cheng} et al., Appl. Math. Comput. 346, 452--464 (2019; Zbl 1429.65216) Full Text: DOI
Li, Binjie; Luo, Hao; Xie, Xiaoping Analysis of a time-stepping scheme for time fractional diffusion problems with nonsmooth data. (English) Zbl 1419.65066 SIAM J. Numer. Anal. 57, No. 2, 779-798 (2019). Reviewer: Victor Michel-Dansac (Toulouse) MSC: 65M60 65M12 35B65 35R11 65M15 PDFBibTeX XMLCite \textit{B. Li} et al., SIAM J. Numer. Anal. 57, No. 2, 779--798 (2019; Zbl 1419.65066) Full Text: DOI arXiv
Li, Binjie; Luo, Hao; Xie, Xiaoping A time-spectral algorithm for fractional wave problems. (English) Zbl 1407.65216 J. Sci. Comput. 77, No. 2, 1164-1184 (2018). MSC: 65M70 65M60 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{B. Li} et al., J. Sci. Comput. 77, No. 2, 1164--1184 (2018; Zbl 1407.65216) Full Text: DOI arXiv
Liu, Yanzhi; Roberts, Jason; Yan, Yubin Detailed error analysis for a fractional Adams method with graded meshes. (English) Zbl 1398.65173 Numer. Algorithms 78, No. 4, 1195-1216 (2018). Reviewer: Dana Černá (Liberec) MSC: 65L06 34A08 65L05 65L20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Numer. Algorithms 78, No. 4, 1195--1216 (2018; Zbl 1398.65173) Full Text: DOI
Yang, Yan; Yan, Yubin; Ford, Neville J. Some time stepping methods for fractional diffusion problems with nonsmooth data. (English) Zbl 1383.65097 Comput. Methods Appl. Math. 18, No. 1, 129-146 (2018). MSC: 65M06 35K05 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{Y. Yang} et al., Comput. Methods Appl. Math. 18, No. 1, 129--146 (2018; Zbl 1383.65097) Full Text: DOI Link
Yeganeh, S.; Mokhtari, R.; Hesthaven, J. S. Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method. (English) Zbl 1377.65124 BIT 57, No. 3, 685-707 (2017). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 65M32 65M60 35R11 65M06 65M12 35K20 PDFBibTeX XMLCite \textit{S. Yeganeh} et al., BIT 57, No. 3, 685--707 (2017; Zbl 1377.65124) Full Text: DOI Link
Deng, Jingwei; Zhao, Lijing; Wu, Yujiang Fast predictor-corrector approach for the tempered fractional differential equations. (English) Zbl 1364.65142 Numer. Algorithms 74, No. 3, 717-754 (2017). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L06 65L12 65L70 65L05 34A08 34A34 PDFBibTeX XMLCite \textit{J. Deng} et al., Numer. Algorithms 74, No. 3, 717--754 (2017; Zbl 1364.65142) Full Text: DOI arXiv
Yu, Bo; Jiang, Xiaoyun Numerical identification of the fractional derivatives in the two-dimensional fractional cable equation. (English) Zbl 1348.65135 J. Sci. Comput. 68, No. 1, 252-272 (2016). Reviewer: Robert Plato (Siegen) MSC: 65M32 65M06 26A33 35R30 35R11 65M12 35K20 PDFBibTeX XMLCite \textit{B. Yu} and \textit{X. Jiang}, J. Sci. Comput. 68, No. 1, 252--272 (2016; Zbl 1348.65135) Full Text: DOI
Deng, Weihua; Hesthaven, Jan S. Local discontinuous Galerkin methods for fractional ordinary differential equations. (English) Zbl 1344.65071 BIT 55, No. 4, 967-985 (2015). Reviewer: Mahmoud Annaby (Giza) MSC: 65L60 34A08 33E12 65D20 65L05 65L20 PDFBibTeX XMLCite \textit{W. Deng} and \textit{J. S. Hesthaven}, BIT 55, No. 4, 967--985 (2015; Zbl 1344.65071) Full Text: DOI arXiv
Gao, Guang-Hua; Sun, Zhi-Zhong; Zhang, Ya-Nan A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions. (English) Zbl 1242.65160 J. Comput. Phys. 231, No. 7, 2865-2879 (2012). MSC: 65M06 65M12 35K05 35R11 PDFBibTeX XMLCite \textit{G.-H. Gao} et al., J. Comput. Phys. 231, No. 7, 2865--2879 (2012; Zbl 1242.65160) Full Text: DOI