Jia, Jinhong; Wang, Hong; Zheng, Xiangcheng A fast algorithm for time-fractional diffusion equation with space-time-dependent variable order. (English) Zbl 07780863 Numer. Algorithms 94, No. 4, 1705-1730 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{J. Jia} et al., Numer. Algorithms 94, No. 4, 1705--1730 (2023; Zbl 07780863) Full Text: DOI
Zhou, Zhongguo; Hang, Tongtong; Pan, Hao; Wang, Yan The upwind PPM scheme and analysis for solving two-sided space-fractional advection-diffusion equations in three dimension. (English) Zbl 07772636 Comput. Math. Appl. 150, 70-86 (2023). MSC: 65M06 35R11 65M12 65M08 65M60 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Comput. Math. Appl. 150, 70--86 (2023; Zbl 07772636) Full Text: DOI
Ngondiep, Eric A high-order numerical scheme for multidimensional convection-diffusion-reaction equation with time-fractional derivative. (English) Zbl 07736705 Numer. Algorithms 94, No. 2, 681-700 (2023). MSC: 65M06 65M12 65M15 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{E. Ngondiep}, Numer. Algorithms 94, No. 2, 681--700 (2023; Zbl 07736705) Full Text: DOI
Bouharguane, Afaf; Seloula, Nour A direct discontinuous Galerkin method for a high order nonlocal conservation law. (English) Zbl 07691963 Comput. Math. Appl. 141, 1-14 (2023). MSC: 65M60 65M12 65M15 35R11 35L65 PDFBibTeX XMLCite \textit{A. Bouharguane} and \textit{N. Seloula}, Comput. Math. Appl. 141, 1--14 (2023; Zbl 07691963) Full Text: DOI
Wang, Zhenming; Yang, Xiaozhong; Gao, Xin A new fast predictor-corrector method for nonlinear time-fractional reaction-diffusion equation with nonhomogeneous terms. (English) Zbl 1511.65087 Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 3898-3924 (2023). MSC: 65M06 65N06 65M12 65N12 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 3898--3924 (2023; Zbl 1511.65087) Full Text: DOI
Zeng, Zhankuan; Chen, Yanping A local discontinuous Galerkin method for time-fractional diffusion equations. (English) Zbl 1515.65302 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 2, 839-854 (2023). MSC: 65N30 65N06 65N12 PDFBibTeX XMLCite \textit{Z. Zeng} and \textit{Y. Chen}, Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 2, 839--854 (2023; Zbl 1515.65302) 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
Kamran; Ahmadian, A.; Salimi, M.; Salahshour, S. Local RBF method for transformed three dimensional sub-diffusion equations. (English) Zbl 07549887 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 147, 21 p. (2022). MSC: 65Mxx 76-XX PDFBibTeX XMLCite \textit{Kamran} et al., Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 147, 21 p. (2022; Zbl 07549887) Full Text: DOI
Sun, Jing; Deng, Weihua; Nie, Daxin Numerical approximations for the fractional Fokker-Planck equation with two-scale diffusion. (English) Zbl 07543422 J. Sci. Comput. 91, No. 2, Paper No. 34, 25 p. (2022). MSC: 65M60 65M06 65N30 65M15 65N15 35B65 26A33 35R11 35Q84 PDFBibTeX XMLCite \textit{J. Sun} et al., J. Sci. Comput. 91, No. 2, Paper No. 34, 25 p. (2022; Zbl 07543422) Full Text: DOI arXiv
Chen, Yanping; Lin, Xiuxiu; Huang, Yunqing Error analysis of spectral approximation for space-time fractional optimal control problems with control and state constraints. (English) Zbl 1524.49053 J. Comput. Appl. Math. 413, Article ID 114293, 15 p. (2022). MSC: 49M25 35R11 49J20 26A33 65M15 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Appl. Math. 413, Article ID 114293, 15 p. (2022; Zbl 1524.49053) Full Text: DOI
Lyu, Liyao; Chen, Zheng Local discontinuous Galerkin methods with novel basis for fractional diffusion equations with non-smooth solutions. (English) Zbl 1499.65510 Commun. Appl. Math. Comput. 4, No. 1, 227-249 (2022). MSC: 65M60 65L06 65N30 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{L. Lyu} and \textit{Z. Chen}, Commun. Appl. Math. Comput. 4, No. 1, 227--249 (2022; Zbl 1499.65510) Full Text: DOI
Liu, Juan; Zhang, Juan; Zhang, Xindong Semi-discretized numerical solution for time fractional convection-diffusion equation by RBF-FD. (English) Zbl 1524.65372 Appl. Math. Lett. 128, Article ID 107880, 9 p. (2022). MSC: 65M06 35R11 65D12 PDFBibTeX XMLCite \textit{J. Liu} et al., Appl. Math. Lett. 128, Article ID 107880, 9 p. (2022; Zbl 1524.65372) 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
Yuan, Huifang An efficient spectral-Galerkin method for fractional reaction-diffusion equations in unbounded domains. (English) Zbl 07511437 J. Comput. Phys. 428, Article ID 110083, 17 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Yuan}, J. Comput. Phys. 428, Article ID 110083, 17 p. (2021; Zbl 07511437) Full Text: DOI arXiv
Liu, Xiaomin; Abbas, Muhammad; Yang, Honghong; Qin, Xinqiang; Nazir, Tahir Novel finite point approach for solving time-fractional convection-dominated diffusion equations. (English) Zbl 1485.35398 Adv. Difference Equ. 2021, Paper No. 4, 22 p. (2021). MSC: 35R11 65M06 26A33 65M12 65M70 PDFBibTeX XMLCite \textit{X. Liu} et al., Adv. Difference Equ. 2021, Paper No. 4, 22 p. (2021; Zbl 1485.35398) Full Text: DOI
Wang, Huasheng; Chen, Yanping; Huang, Yunqing; Mao, Wenting A Petrov-Galerkin spectral method for fractional convection-diffusion equations with two-sided fractional derivative. (English) Zbl 1480.65356 Int. J. Comput. Math. 98, No. 3, 536-551 (2021). MSC: 65N35 65N12 65N15 PDFBibTeX XMLCite \textit{H. Wang} et al., Int. J. Comput. Math. 98, No. 3, 536--551 (2021; Zbl 1480.65356) 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
Fu, Hongfei; Zhu, Chen; Liang, Xueting; Zhang, Bingyin Efficient spatial second-/fourth-order finite difference ADI methods for multi-dimensional variable-order time-fractional diffusion equations. (English) Zbl 1501.65034 Adv. Comput. Math. 47, No. 4, Paper No. 58, 33 p. (2021). MSC: 65M06 65M12 76S05 35A01 35A02 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{H. Fu} et al., Adv. Comput. Math. 47, No. 4, Paper No. 58, 33 p. (2021; Zbl 1501.65034) Full Text: DOI
Li, Buyang; Wang, Hong; Wang, Jilu Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order. (English) Zbl 1490.65201 ESAIM, Math. Model. Numer. Anal. 55, No. 1, 171-207 (2021). MSC: 65M60 35R11 45K05 65M12 65M15 PDFBibTeX XMLCite \textit{B. Li} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 1, 171--207 (2021; Zbl 1490.65201) Full Text: DOI
Liu, Huan; Zheng, Xiangcheng; Chen, Chuanjun; Wang, Hong A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model. (English) Zbl 1486.65148 Adv. Comput. Math. 47, No. 3, Paper No. 41, 19 p. (2021). MSC: 65M25 65N30 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{H. Liu} et al., Adv. Comput. Math. 47, No. 3, Paper No. 41, 19 p. (2021; Zbl 1486.65148) Full Text: DOI
Zhang, Xindong; Yao, Lin Numerical approximation of time-dependent fractional convection-diffusion-wave equation by RBF-FD method. (English) Zbl 1521.65108 Eng. Anal. Bound. Elem. 130, 1-9 (2021). MSC: 65M70 35R11 65D12 65M12 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{L. Yao}, Eng. Anal. Bound. Elem. 130, 1--9 (2021; Zbl 1521.65108) Full Text: DOI
She, Zi-Hang; Qu, Hai-Dong; Liu, Xuan Stability and convergence of finite difference method for two-sided space-fractional diffusion equations. (English) Zbl 1524.65394 Comput. Math. Appl. 89, 78-86 (2021). MSC: 65M06 65M12 35R11 26A33 35K05 65N06 PDFBibTeX XMLCite \textit{Z.-H. She} et al., Comput. Math. Appl. 89, 78--86 (2021; Zbl 1524.65394) Full Text: DOI
Qu, Haidong; She, Zihang; Liu, Xuan Neural network method for solving fractional diffusion equations. (English) Zbl 1470.65182 Appl. Math. Comput. 391, Article ID 125635, 25 p. (2021). MSC: 65M99 35R11 PDFBibTeX XMLCite \textit{H. Qu} et al., Appl. Math. Comput. 391, Article ID 125635, 25 p. (2021; Zbl 1470.65182) Full Text: DOI
Jia, Jinhong; Wang, Hong; Zheng, Xiangcheng A preconditioned fast finite element approximation to variable-order time-fractional diffusion equations in multiple space dimensions. (English) Zbl 1471.65144 Appl. Numer. Math. 163, 15-29 (2021). MSC: 65M60 65M06 65N30 65F08 65F10 15B05 15A69 35R11 PDFBibTeX XMLCite \textit{J. Jia} et al., Appl. Numer. Math. 163, 15--29 (2021; Zbl 1471.65144) Full Text: DOI
Srivastava, Nikhil; Singh, Aman; Kumar, Yashveer; Singh, Vineet Kumar Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix. (English) Zbl 1475.65081 Appl. Numer. Math. 161, 244-274 (2021). Reviewer: Michael Plum (Karlsruhe) MSC: 65M06 65N06 65M12 65M15 42C10 41A50 35R11 PDFBibTeX XMLCite \textit{N. Srivastava} et al., Appl. Numer. Math. 161, 244--274 (2021; Zbl 1475.65081) Full Text: DOI
Liu, Xinfei; Yang, Xiaoyuan Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction-diffusion equation. (English) Zbl 1524.65570 Comput. Math. Appl. 84, 39-55 (2021). MSC: 65M60 65M06 65N30 35R11 65M12 60H15 35Q92 92C10 74K15 74L15 78A20 92C37 92C05 76Q05 PDFBibTeX XMLCite \textit{X. Liu} and \textit{X. Yang}, Comput. Math. Appl. 84, 39--55 (2021; Zbl 1524.65570) Full Text: DOI
Jia, Jinhong; Wang, Hong; Zheng, Xiangcheng A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis. (English) Zbl 1458.65100 J. Comput. Appl. Math. 388, Article ID 113234, 15 p. (2021). MSC: 65L60 34A08 65F10 PDFBibTeX XMLCite \textit{J. Jia} et al., J. Comput. Appl. Math. 388, Article ID 113234, 15 p. (2021; Zbl 1458.65100) 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
Yu, Hao; Wu, Boying; Zhang, Dazhi A Hermite spectral method for fractional convection diffusion equations on unbounded domains. (English) Zbl 1480.65301 Int. J. Comput. Math. 97, No. 10, 2142-2163 (2020). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{H. Yu} et al., Int. J. Comput. Math. 97, No. 10, 2142--2163 (2020; Zbl 1480.65301) Full Text: DOI
Zhang, Lu; Sun, Hai-Wei Numerical solution for multi-dimensional Riesz fractional nonlinear reaction-diffusion equation by exponential Runge-Kutta method. (English) Zbl 1475.65054 J. Appl. Math. Comput. 62, No. 1-2, 449-472 (2020). MSC: 65L06 65N22 65F10 65F15 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{H.-W. Sun}, J. Appl. Math. Comput. 62, No. 1--2, 449--472 (2020; Zbl 1475.65054) Full Text: DOI
Wang, Huasheng; Chen, Yanping; Huang, Yunqing; Mao, Wenting A posteriori error estimates of the Galerkin spectral methods for space-time fractional diffusion equations. (English) Zbl 1488.65521 Adv. Appl. Math. Mech. 12, No. 1, 87-100 (2020). MSC: 65M70 65M12 65N35 65M60 65N30 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{H. Wang} et al., Adv. Appl. Math. Mech. 12, No. 1, 87--100 (2020; Zbl 1488.65521) Full Text: DOI
Nie, Daxin; Sun, Jing; Deng, Weihua Numerical algorithm for the model describing anomalous diffusion in expanding media. (English) Zbl 1476.65246 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2265-2294 (2020). MSC: 65M60 65M06 65N30 65N15 65D30 35B65 42A85 26A33 35R11 PDFBibTeX XMLCite \textit{D. Nie} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2265--2294 (2020; Zbl 1476.65246) Full Text: DOI arXiv
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
Li, Binjie; Wang, Tao; Xie, Xiaoping Analysis of a temporal discretization for a semilinear fractional diffusion equation. (English) Zbl 1454.65035 Comput. Math. Appl. 80, No. 10, 2115-2134 (2020). MSC: 65J08 65M99 35R11 PDFBibTeX XMLCite \textit{B. Li} et al., Comput. Math. Appl. 80, No. 10, 2115--2134 (2020; Zbl 1454.65035) Full Text: DOI
Hu, Xindi; Zhu, Shengfeng Isogeometric analysis for time-fractional partial differential equations. (English) Zbl 1450.65123 Numer. Algorithms 85, No. 3, 909-930 (2020). MSC: 65M60 65D07 26A33 74S05 35R11 PDFBibTeX XMLCite \textit{X. Hu} and \textit{S. Zhu}, Numer. Algorithms 85, No. 3, 909--930 (2020; Zbl 1450.65123) Full Text: DOI
Liu, Huan; Cheng, Aijie; Wang, Hong A parareal finite volume method for variable-order time-fractional diffusion equations. (English) Zbl 1452.65191 J. Sci. Comput. 85, No. 1, Paper No. 19, 26 p. (2020). MSC: 65M08 65M12 65M15 65N15 65Y05 35R11 26A33 76S05 35Q35 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Sci. Comput. 85, No. 1, Paper No. 19, 26 p. (2020; Zbl 1452.65191) Full Text: DOI
Shao, Xin-Hui; Zhang, Zhen-Duo; Shen, Hai-Long A generalization of trigonometric transform splitting methods for spatial fractional diffusion equations. (English) Zbl 1443.65140 Comput. Math. Appl. 79, No. 6, 1845-1856 (2020). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{X.-H. Shao} et al., Comput. Math. Appl. 79, No. 6, 1845--1856 (2020; Zbl 1443.65140) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation. (English) Zbl 1452.65145 Appl. Numer. Math. 158, 271-291 (2020). MSC: 65M06 65N06 65M99 65M15 65M12 65D30 35R11 26A33 35K57 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 158, 271--291 (2020; Zbl 1452.65145) Full Text: DOI
Jiang, Tao; Wang, Xing-Chi; Huang, Jin-Jing; Ren, Jin-Lian An effective pure meshfree method for 1D/2D time fractional convection-diffusion problems on irregular geometry. (English) Zbl 1464.65145 Eng. Anal. Bound. Elem. 118, 265-276 (2020). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{T. Jiang} et al., Eng. Anal. Bound. Elem. 118, 265--276 (2020; Zbl 1464.65145) Full Text: DOI
Nie, Daxin; Sun, Jing; Deng, Weihua Numerical scheme for the Fokker-Planck equations describing anomalous diffusions with two internal states. (English) Zbl 1444.76070 J. Sci. Comput. 83, No. 2, Paper No. 33, 29 p. (2020). MSC: 76M10 76M99 76R50 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{D. Nie} et al., J. Sci. Comput. 83, No. 2, Paper No. 33, 29 p. (2020; Zbl 1444.76070) Full Text: DOI arXiv
Bouharguane, Afaf; Seloula, Nour The local discontinuous Galerkin method for convection-diffusion-fractional anti-diffusion equations. (English) Zbl 1447.65070 Appl. Numer. Math. 148, 61-78 (2020). MSC: 65M60 65M06 65N30 65M12 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{A. Bouharguane} and \textit{N. Seloula}, Appl. Numer. Math. 148, 61--78 (2020; Zbl 1447.65070) Full Text: DOI
Zheng, Bailin; Kai, Yue; Xu, Wenlong; Yang, Nan; Zhang, Kai; Thibado, P. M. Exact traveling and non-traveling wave solutions of the time fractional reaction-diffusion equation. (English) Zbl 07570909 Physica A 532, Article ID 121780, 11 p. (2019). MSC: 35R11 35C07 PDFBibTeX XMLCite \textit{B. Zheng} et al., Physica A 532, Article ID 121780, 11 p. (2019; Zbl 07570909) Full Text: DOI
Chen, Wenping; Lü, Shujuan; Chen, Hu; Jiang, Lihua Analysis of two Legendre spectral approximations for the variable-coefficient fractional diffusion-wave equation. (English) Zbl 1487.65115 Adv. Difference Equ. 2019, Paper No. 418, 23 p. (2019). MSC: 65M06 65M12 65M70 35R11 26A33 PDFBibTeX XMLCite \textit{W. Chen} et al., Adv. Difference Equ. 2019, Paper No. 418, 23 p. (2019; Zbl 1487.65115) Full Text: DOI
Liu, Huan; Cheng, Aijie; Yan, Hongjie; Liu, Zhengguang; Wang, Hong A fast compact finite difference method for quasilinear time fractional parabolic equation without singular kernel. (English) Zbl 1499.65408 Int. J. Comput. Math. 96, No. 7, 1444-1460 (2019). MSC: 65M06 26A33 35K20 35R11 65M12 PDFBibTeX XMLCite \textit{H. Liu} et al., Int. J. Comput. Math. 96, No. 7, 1444--1460 (2019; Zbl 1499.65408) Full Text: DOI
Liu, Haiyu; Lü, Shujuan; Chen, Hu; Chen, Wenping Gauss-Lobatto-Legendre-Birkhoff pseudospectral scheme for the time fractional reaction-diffusion equation with Neumann boundary conditions. (English) Zbl 1499.65569 Int. J. Comput. Math. 96, No. 2, 362-378 (2019). MSC: 65M70 65M12 65M06 65N35 35R11 65D32 35B65 26A33 35K57 PDFBibTeX XMLCite \textit{H. Liu} et al., Int. J. Comput. Math. 96, No. 2, 362--378 (2019; Zbl 1499.65569) Full Text: DOI
Hou, Dianming; Azaïez, Mejdi; Xu, Chuanju Müntz spectral method for two-dimensional space-fractional convection-diffusion equation. (English) Zbl 1518.65117 Commun. Comput. Phys. 26, No. 5, 1415-1443 (2019). MSC: 65M70 65M06 65N35 33C45 26A33 35R11 65D18 68U05 68U07 PDFBibTeX XMLCite \textit{D. Hou} et al., Commun. Comput. Phys. 26, No. 5, 1415--1443 (2019; Zbl 1518.65117) Full Text: DOI
Jia, Jinhong; Wang, Hong A fast finite volume method on locally refined meshes for fractional diffusion equations. (English) Zbl 1465.65086 East Asian J. Appl. Math. 9, No. 4, 755-779 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65F10 15B05 35R11 PDFBibTeX XMLCite \textit{J. Jia} and \textit{H. Wang}, East Asian J. Appl. Math. 9, No. 4, 755--779 (2019; Zbl 1465.65086) Full Text: DOI
Zhang, Jun; Chen, Hu; Lin, Shimin; Wang, Jinrong Finite difference/spectral approximation for a time-space fractional equation on two and three space dimensions. (English) Zbl 1442.65185 Comput. Math. Appl. 78, No. 6, 1937-1946 (2019). MSC: 65M06 35R11 65M70 PDFBibTeX XMLCite \textit{J. Zhang} et al., Comput. Math. Appl. 78, No. 6, 1937--1946 (2019; Zbl 1442.65185) Full Text: DOI
Jia, Jinhong; Wang, Hong A fast finite volume method for conservative space-time fractional diffusion equations discretized on space-time locally refined meshes. (English) Zbl 1442.65197 Comput. Math. Appl. 78, No. 5, 1345-1356 (2019). MSC: 65M08 35R11 PDFBibTeX XMLCite \textit{J. Jia} and \textit{H. Wang}, Comput. Math. Appl. 78, No. 5, 1345--1356 (2019; Zbl 1442.65197) Full Text: DOI
Wang, Tingting; Song, Fangying; Wang, Hong; Karniadakis, George Em Fractional Gray-Scott model: well-posedness, discretization, and simulations. (English) Zbl 1440.35344 Comput. Methods Appl. Mech. Eng. 347, 1030-1049 (2019). MSC: 35R11 35B30 35K57 35K51 35K58 65M06 65M12 PDFBibTeX XMLCite \textit{T. Wang} et al., Comput. Methods Appl. Mech. Eng. 347, 1030--1049 (2019; Zbl 1440.35344) Full Text: DOI arXiv
Salehi Shayegan, Amir Hossein; Zakeri, Ali Quasi solution of a backward space fractional diffusion equation. (English) Zbl 1434.65232 J. Inverse Ill-Posed Probl. 27, No. 6, 795-814 (2019). MSC: 65N21 65N20 65N30 65N12 65F22 35R11 35R30 15A18 PDFBibTeX XMLCite \textit{A. H. Salehi Shayegan} and \textit{A. Zakeri}, J. Inverse Ill-Posed Probl. 27, No. 6, 795--814 (2019; Zbl 1434.65232) 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
Saberi Zafarghandi, Fahimeh; Mohammadi, Maryam; Babolian, Esmail; Javadi, Shahnam Radial basis functions method for solving the fractional diffusion equations. (English) Zbl 1429.65252 Appl. Math. Comput. 342, 224-246 (2019). MSC: 65M70 35R11 65M20 PDFBibTeX XMLCite \textit{F. Saberi Zafarghandi} et al., Appl. Math. Comput. 342, 224--246 (2019; Zbl 1429.65252) Full Text: DOI
Alzahrani, S. S.; Khaliq, A. Q. M.; Biala, T. A.; Furati, K. M. Fourth-order time stepping methods with matrix transfer technique for space-fractional reaction-diffusion equations. (English) Zbl 1431.65194 Appl. Numer. Math. 146, 123-144 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M99 65L06 35R11 41A21 65M12 65M06 35P10 PDFBibTeX XMLCite \textit{S. S. Alzahrani} et al., Appl. Numer. Math. 146, 123--144 (2019; Zbl 1431.65194) 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
Bai, Zhong-Zhi; Lu, Kang-Ya On banded \(M\)-splitting iteration methods for solving discretized spatial fractional diffusion equations. (English) Zbl 1450.65102 BIT 59, No. 1, 1-33 (2019). MSC: 65M22 65F08 65F10 65N06 65N22 65Z05 PDFBibTeX XMLCite \textit{Z.-Z. Bai} and \textit{K.-Y. Lu}, BIT 59, No. 1, 1--33 (2019; Zbl 1450.65102) Full Text: DOI
Feng, Libo; Liu, Fawang; Turner, Ian; Yang, Qianqian; Zhuang, Pinghui Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains. (English) Zbl 1480.65253 Appl. Math. Modelling 59, 441-463 (2018). MSC: 65M60 35R11 65M06 PDFBibTeX XMLCite \textit{L. Feng} et al., Appl. Math. Modelling 59, 441--463 (2018; Zbl 1480.65253) Full Text: DOI Link
Chen, Hao; Zhang, Tongtong; Lv, Wen Block preconditioning strategies for time-space fractional diffusion equations. (English) Zbl 1427.65219 Appl. Math. Comput. 337, 41-53 (2018). MSC: 65M22 35R11 65F08 65M06 PDFBibTeX XMLCite \textit{H. Chen} et al., Appl. Math. Comput. 337, 41--53 (2018; Zbl 1427.65219) Full Text: DOI
Salehi, Younes; Darvishi, Mohammad T.; Schiesser, William E. Numerical solution of space fractional diffusion equation by the method of lines and splines. (English) Zbl 1427.65218 Appl. Math. Comput. 336, 465-480 (2018). MSC: 65M20 35R11 65M12 PDFBibTeX XMLCite \textit{Y. Salehi} et al., Appl. Math. Comput. 336, 465--480 (2018; Zbl 1427.65218) Full Text: DOI
Zhang, Juan; Zhang, Xindong; Yang, Bohui An approximation scheme for the time fractional convection-diffusion equation. (English) Zbl 1427.65201 Appl. Math. Comput. 335, 305-312 (2018). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Math. Comput. 335, 305--312 (2018; Zbl 1427.65201) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. (English) Zbl 1415.65224 Comput. Math. Appl. 75, No. 8, 2903-2914 (2018). MSC: 65M60 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Math. Appl. 75, No. 8, 2903--2914 (2018; Zbl 1415.65224) Full Text: DOI
Zhu, X. G.; Yuan, Z. B.; Liu, F.; Nie, Y. F. Differential quadrature method for space-fractional diffusion equations on 2D irregular domains. (English) Zbl 1516.65113 Numer. Algorithms 79, No. 3, 853-877 (2018). MSC: 65M99 65D12 65D25 65D30 65L12 60G51 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{X. G. Zhu} et al., Numer. Algorithms 79, No. 3, 853--877 (2018; Zbl 1516.65113) Full Text: DOI arXiv
Wang, Yuan-Ming; Ren, Lei High-order compact difference methods for Caputo-type variable coefficient fractional sub-diffusion equations in conservative form. (English) Zbl 1397.65149 J. Sci. Comput. 76, No. 2, 1007-1043 (2018). MSC: 65M06 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{Y.-M. Wang} and \textit{L. Ren}, J. Sci. Comput. 76, No. 2, 1007--1043 (2018; Zbl 1397.65149) Full Text: DOI
Li, Meng; Huang, Chengming; Ming, Wanyuan Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations. (English) Zbl 1395.65080 Comput. Appl. Math. 37, No. 2, 2309-2334 (2018). MSC: 65M60 26A33 35R11 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{M. Li} et al., Comput. Appl. Math. 37, No. 2, 2309--2334 (2018; Zbl 1395.65080) Full Text: DOI
Chen, Hao; Lv, Wen; Zhang, Tongtong A Kronecker product splitting preconditioner for two-dimensional space-fractional diffusion equations. (English) Zbl 1395.65007 J. Comput. Phys. 360, 1-14 (2018). MSC: 65F08 65M06 65F10 35R11 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Comput. Phys. 360, 1--14 (2018; Zbl 1395.65007) Full Text: DOI
Zhao, Meng; Wang, Hong; Cheng, Aijie A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations with fractional derivative boundary conditions. (English) Zbl 1395.65036 J. Sci. Comput. 74, No. 2, 1009-1033 (2018). MSC: 65M06 35R11 65M12 65F10 15B05 PDFBibTeX XMLCite \textit{M. Zhao} et al., J. Sci. Comput. 74, No. 2, 1009--1033 (2018; Zbl 1395.65036) 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
Hou, Dianming; Hasan, Mohammad Tanzil; Xu, Chuanju Müntz spectral methods for the time-fractional diffusion equation. (English) Zbl 1382.65343 Comput. Methods Appl. Math. 18, No. 1, 43-62 (2018). MSC: 65M70 35K05 35R11 65M15 65M12 PDFBibTeX XMLCite \textit{D. Hou} et al., Comput. Methods Appl. Math. 18, No. 1, 43--62 (2018; Zbl 1382.65343) Full Text: DOI
Wei, Leilei Analysis of a new finite difference/local discontinuous Galerkin method for the fractional diffusion-wave equation. (English) Zbl 1411.65135 Appl. Math. Comput. 304, 180-189 (2017). MSC: 65M60 35R11 35S10 65M12 PDFBibTeX XMLCite \textit{L. Wei}, Appl. Math. Comput. 304, 180--189 (2017; Zbl 1411.65135) Full Text: DOI arXiv
Yang, Yin; Chen, Yanping; Huang, Yunqing; Wei, Huayi Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis. (English) Zbl 1412.65168 Comput. Math. Appl. 73, No. 6, 1218-1232 (2017). MSC: 65M70 65M12 35R11 65D05 PDFBibTeX XMLCite \textit{Y. Yang} et al., Comput. Math. Appl. 73, No. 6, 1218--1232 (2017; Zbl 1412.65168) Full Text: DOI
Wang, Jinfeng; Liu, Tianqi; Li, Hong; Liu, Yang; He, Siriguleng Second-order approximation scheme combined with \(H^1\)-Galerkin MFE method for nonlinear time fractional convection-diffusion equation. (English) Zbl 1412.65157 Comput. Math. Appl. 73, No. 6, 1182-1196 (2017). MSC: 65M60 65M12 35R11 65M15 65M06 PDFBibTeX XMLCite \textit{J. Wang} et al., Comput. Math. Appl. 73, No. 6, 1182--1196 (2017; Zbl 1412.65157) Full Text: DOI
Zhu, Xiaogang; Nie, Yufeng; Yuan, Zhanbin; Wang, Jungang; Yang, Zongze An exponential B-spline collocation method for the fractional sub-diffusion equation. (English) Zbl 1444.65053 Adv. Difference Equ. 2017, Paper No. 285, 17 p. (2017). MSC: 65M12 65M70 65M06 35R11 26A33 PDFBibTeX XMLCite \textit{X. Zhu} et al., Adv. Difference Equ. 2017, Paper No. 285, 17 p. (2017; Zbl 1444.65053) Full Text: DOI arXiv
Qiu, Meilan; Mei, Liquan; Li, Dewang Fully discrete local discontinuous Galerkin approximation for time-space fractional subdiffusion/superdiffusion equations. (English) Zbl 1404.65179 Adv. Math. Phys. 2017, Article ID 4961797, 20 p. (2017). MSC: 65M60 65M06 65M12 35R11 76R50 35Q35 PDFBibTeX XMLCite \textit{M. Qiu} et al., Adv. Math. Phys. 2017, Article ID 4961797, 20 p. (2017; Zbl 1404.65179) Full Text: DOI
Guo, Shimin; Mei, Liquan; Li, Ying An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation. (English) Zbl 1402.65124 Comput. Math. Appl. 74, No. 10, 2449-2465 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M70 65M12 35R11 35Q53 65M60 65M06 35K57 PDFBibTeX XMLCite \textit{S. Guo} et al., Comput. Math. Appl. 74, No. 10, 2449--2465 (2017; Zbl 1402.65124) Full Text: DOI
Arshad, Sadia; Huang, Jianfei; Khaliq, Abdul Q. M.; Tang, Yifa Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative. (English) Zbl 1380.65141 J. Comput. Phys. 350, 1-15 (2017). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{S. Arshad} et al., J. Comput. Phys. 350, 1--15 (2017; Zbl 1380.65141) Full Text: DOI
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
Zhao, Meng; Cheng, Aijie; Wang, Hong A preconditioned fast Hermite finite element method for space-fractional diffusion equations. (English) Zbl 1368.35276 Discrete Contin. Dyn. Syst., Ser. B 22, No. 9, 3529-3545 (2017). MSC: 35R11 65N30 65F10 PDFBibTeX XMLCite \textit{M. Zhao} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 9, 3529--3545 (2017; Zbl 1368.35276) Full Text: DOI
Salehi, Rezvan A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation. (English) Zbl 1365.65230 Numer. Algorithms 74, No. 4, 1145-1168 (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65M70 65M15 35R11 35M13 35K05 35L05 65M12 PDFBibTeX XMLCite \textit{R. Salehi}, Numer. Algorithms 74, No. 4, 1145--1168 (2017; Zbl 1365.65230) Full Text: DOI
Zhao, Yanmin; Chen, Pan; Bu, Weiping; Liu, Xiangtao; Tang, Yifa Two mixed finite element methods for time-fractional diffusion equations. (English) Zbl 1360.65245 J. Sci. Comput. 70, No. 1, 407-428 (2017). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 35R11 35K05 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Zhao} et al., J. Sci. Comput. 70, No. 1, 407--428 (2017; Zbl 1360.65245) Full Text: DOI
Zhao, Zhengang; Zheng, Yunying; Guo, Peng A Galerkin finite element method for a class of time-space fractional differential equation with nonsmooth data. (English) Zbl 1360.65246 J. Sci. Comput. 70, No. 1, 386-406 (2017). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 65M20 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{Z. Zhao} et al., J. Sci. Comput. 70, No. 1, 386--406 (2017; Zbl 1360.65246) Full Text: DOI
Chen, Hu; Lü, Shujuan; Chen, Wenping Spectral methods for the time fractional diffusion-wave equation in a semi-infinite channel. (English) Zbl 1443.65239 Comput. Math. Appl. 71, No. 9, 1818-1830 (2016). MSC: 65M70 65M15 35R11 PDFBibTeX XMLCite \textit{H. Chen} et al., Comput. Math. Appl. 71, No. 9, 1818--1830 (2016; Zbl 1443.65239) Full Text: DOI
Pang, Hong-Kui; Sun, Hai-Wei Fourth order finite difference schemes for time-space fractional sub-diffusion equations. (English) Zbl 1443.65136 Comput. Math. Appl. 71, No. 6, 1287-1302 (2016). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{H.-K. Pang} and \textit{H.-W. Sun}, Comput. Math. Appl. 71, No. 6, 1287--1302 (2016; Zbl 1443.65136) Full Text: DOI
Zheng, M.; Liu, F.; Anh, V.; Turner, I. A high-order spectral method for the multi-term time-fractional diffusion equations. (English) Zbl 1459.65205 Appl. Math. Modelling 40, No. 7-8, 4970-4985 (2016). MSC: 65M70 65M12 35R11 PDFBibTeX XMLCite \textit{M. Zheng} et al., Appl. Math. Modelling 40, No. 7--8, 4970--4985 (2016; Zbl 1459.65205) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods. (English) Zbl 1403.65068 Eng. Anal. Bound. Elem. 64, 205-221 (2016). MSC: 65M60 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Eng. Anal. Bound. Elem. 64, 205--221 (2016; Zbl 1403.65068) Full Text: DOI
Liao, Hong-lin; Zhao, Ying; Teng, Xing-hu A weighted ADI scheme for subdiffusion equations. (English) Zbl 1371.65082 J. Sci. Comput. 69, No. 3, 1144-1164 (2016). MSC: 65M06 35R11 35K20 65M50 65M12 PDFBibTeX XMLCite \textit{H.-l. Liao} et al., J. Sci. Comput. 69, No. 3, 1144--1164 (2016; Zbl 1371.65082) Full Text: DOI
Ji, Cui-cui; Sun, Zhi-zhong; Hao, Zhao-peng Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions. (English) Zbl 1373.65057 J. Sci. Comput. 66, No. 3, 1148-1174 (2016). Reviewer: Charis Harley (Johannesburg) MSC: 65M06 35K05 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{C.-c. Ji} et al., J. Sci. Comput. 66, No. 3, 1148--1174 (2016; Zbl 1373.65057) Full Text: DOI
Angstmann, C. N.; Donnelly, I. C.; Henry, B. I.; Jacobs, B. A.; Langlands, T. A. M.; Nichols, J. A. From stochastic processes to numerical methods: a new scheme for solving reaction subdiffusion fractional partial differential equations. (English) Zbl 1352.65404 J. Comput. Phys. 307, 508-534 (2016). MSC: 65M75 65C50 35R11 PDFBibTeX XMLCite \textit{C. N. Angstmann} et al., J. Comput. Phys. 307, 508--534 (2016; Zbl 1352.65404) Full Text: DOI Link
Bhrawy, A. H.; Zaky, M. A.; Van Gorder, R. A. A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation. (English) Zbl 1334.65166 Numer. Algorithms 71, No. 1, 151-180 (2016). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 35M13 35R11 35K05 35L05 65M12 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Numer. Algorithms 71, No. 1, 151--180 (2016; Zbl 1334.65166) Full Text: DOI
Yan, Liang; Yang, Fenglian The method of approximate particular solutions for the time-fractional diffusion equation with a non-local boundary condition. (English) Zbl 1443.65256 Comput. Math. Appl. 70, No. 3, 254-264 (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{L. Yan} and \textit{F. Yang}, Comput. Math. Appl. 70, No. 3, 254--264 (2015; Zbl 1443.65256) Full Text: DOI
Song, Fangying; Xu, Chuanju Spectral direction splitting methods for two-dimensional space fractional diffusion equations. (English) Zbl 1352.65400 J. Comput. Phys. 299, 196-214 (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{F. Song} and \textit{C. Xu}, J. Comput. Phys. 299, 196--214 (2015; Zbl 1352.65400) Full Text: DOI
Zhang, Lu; Sun, Hai-Wei; Pang, Hong-Kui Fast numerical solution for fractional diffusion equations by exponential quadrature rule. (English) Zbl 1352.65304 J. Comput. Phys. 299, 130-143 (2015). MSC: 65M20 65L06 35R11 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Comput. Phys. 299, 130--143 (2015; Zbl 1352.65304) Full Text: DOI
Qiu, Liangliang; Deng, Weihua; Hesthaven, Jan S. Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes. (English) Zbl 1349.65476 J. Comput. Phys. 298, 678-694 (2015). MSC: 65M60 65M15 35R11 PDFBibTeX XMLCite \textit{L. Qiu} et al., J. Comput. Phys. 298, 678--694 (2015; Zbl 1349.65476) Full Text: DOI arXiv
Wang, Hong; Cheng, Aijie; Wang, Kaixin Fast finite volume methods for space-fractional diffusion equations. (English) Zbl 1382.65272 Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1427-1441 (2015). MSC: 65M08 35R11 PDFBibTeX XMLCite \textit{H. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1427--1441 (2015; Zbl 1382.65272) Full Text: DOI
Izadkhah, Mohammad Mahdi; Saberi-Nadjafi, Jafar Gegenbauer spectral method for time-fractional convection-diffusion equations with variable coefficients. (English) Zbl 1329.35334 Math. Methods Appl. Sci. 38, No. 15, 3183-3194 (2015). MSC: 35R11 65M70 65N22 PDFBibTeX XMLCite \textit{M. M. Izadkhah} and \textit{J. Saberi-Nadjafi}, Math. Methods Appl. Sci. 38, No. 15, 3183--3194 (2015; Zbl 1329.35334) Full Text: DOI
Zhao, Lijing; Deng, Weihua A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives. (English) Zbl 1332.65131 Numer. Methods Partial Differ. Equations 31, No. 5, 1345-1381 (2015). Reviewer: Marius Ghergu (Dublin) MSC: 65M12 35K05 35R11 65M06 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{W. Deng}, Numer. Methods Partial Differ. Equations 31, No. 5, 1345--1381 (2015; Zbl 1332.65131) Full Text: DOI arXiv
Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. (English) Zbl 1321.65129 J. Comput. Appl. Math. 290, 174-195 (2015). MSC: 65M06 65M70 35R11 65M12 65M15 35M13 PDFBibTeX XMLCite \textit{M. Dehghan} et al., J. Comput. Appl. Math. 290, 174--195 (2015; Zbl 1321.65129) Full Text: DOI
Chen, Minghua; Deng, Weihua High order algorithms for the fractional substantial diffusion equation with truncated Lévy flights. (English) Zbl 1317.65198 SIAM J. Sci. Comput. 37, No. 2, A890-A917 (2015). MSC: 65M55 65M06 65M12 35K05 35R11 65T50 PDFBibTeX XMLCite \textit{M. Chen} and \textit{W. Deng}, SIAM J. Sci. Comput. 37, No. 2, A890--A917 (2015; Zbl 1317.65198) Full Text: DOI arXiv
Yu, Bo; Jiang, Xiaoyun; Xu, Huanying A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation. (English) Zbl 1314.65114 Numer. Algorithms 68, No. 4, 923-950 (2015). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M06 35K57 35R11 65M12 PDFBibTeX XMLCite \textit{B. Yu} et al., Numer. Algorithms 68, No. 4, 923--950 (2015; Zbl 1314.65114) Full Text: DOI
Gu, Xian-Ming; Huang, Ting-Zhu; Zhao, Xi-Le; Li, Hou-Biao; Li, Liang Strang-type preconditioners for solving fractional diffusion equations by boundary value methods. (English) Zbl 1302.65212 J. Comput. Appl. Math. 277, 73-86 (2015). MSC: 65M20 35K05 35R11 65M06 65L05 65F08 65F10 65M12 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., J. Comput. Appl. Math. 277, 73--86 (2015; Zbl 1302.65212) Full Text: DOI arXiv
Zhao, Xuan; Xu, Qinwu Efficient numerical schemes for fractional sub-diffusion equation with the spatially variable coefficient. (English) Zbl 1429.65210 Appl. Math. Modelling 38, No. 15-16, 3848-3859 (2014). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{Q. Xu}, Appl. Math. Modelling 38, No. 15--16, 3848--3859 (2014; Zbl 1429.65210) Full Text: DOI