Feng, Xiaoli; Yuan, Xiaoyu; Zhao, Meixia; Qian, Zhi Numerical methods for the forward and backward problems of a time-space fractional diffusion equation. (English) Zbl 07814910 Calcolo 61, No. 1, Paper No. 16, 37 p. (2024). MSC: 65L10 65K10 PDFBibTeX XMLCite \textit{X. Feng} et al., Calcolo 61, No. 1, Paper No. 16, 37 p. (2024; Zbl 07814910) Full Text: DOI
Wen, Jin; Wang, Yong-Ping; Wang, Yu-Xin; Wang, Yong-Qin The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation. (English) Zbl 07810046 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107848, 22 p. (2024). MSC: 35R30 35K20 35R11 65M32 PDFBibTeX XMLCite \textit{J. Wen} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107848, 22 p. (2024; Zbl 07810046) Full Text: DOI
Ma, Wenjun; Sun, Liangliang Simultaneous recovery of two time-dependent coefficients in a multi-term time-fractional diffusion equation. (English) Zbl 07804034 Comput. Methods Appl. Math. 24, No. 1, 59-83 (2024). MSC: 35R30 35R25 35R11 65M30 PDFBibTeX XMLCite \textit{W. Ma} and \textit{L. Sun}, Comput. Methods Appl. Math. 24, No. 1, 59--83 (2024; Zbl 07804034) Full Text: DOI
Biranvand, Nader; Ebrahimijahan, Ali Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional cable equation. (English) Zbl 07803460 Comput. Appl. Math. 43, No. 1, Paper No. 52, 26 p. (2024). MSC: 34K37 65L80 PDFBibTeX XMLCite \textit{N. Biranvand} and \textit{A. Ebrahimijahan}, Comput. Appl. Math. 43, No. 1, Paper No. 52, 26 p. (2024; Zbl 07803460) Full Text: DOI
Yang, Jiye; Li, Yuqing; Liu, Zhiyong A finite difference/Kansa method for the two-dimensional time and space fractional Bloch-Torrey equation. (English) Zbl 07801626 Comput. Math. Appl. 156, 1-15 (2024). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Math. Appl. 156, 1--15 (2024; Zbl 07801626) Full Text: DOI
López, Belen; Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz; Rocha, Juan Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods. (English) Zbl 07784320 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107692, 14 p. (2024). MSC: 34A08 65M12 76S05 PDFBibTeX XMLCite \textit{B. López} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107692, 14 p. (2024; Zbl 07784320) Full Text: DOI arXiv
Ku Sahoo, Sanjay; Gupta, Vikas; Dubey, Shruti A robust higher-order finite difference technique for a time-fractional singularly perturbed problem. (English) Zbl 07764057 Math. Comput. Simul. 215, 43-68 (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{S. Ku Sahoo} et al., Math. Comput. Simul. 215, 43--68 (2024; Zbl 07764057) Full Text: DOI
Dinh Nguyen Duy Hai On regularization results for a two-dimensional nonlinear time-fractional inverse diffusion problem. (English) Zbl 1527.35489 J. Math. Anal. Appl. 530, No. 2, Article ID 127721, 35 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 35R30 35R11 65M32 35R25 PDFBibTeX XMLCite \textit{Dinh Nguyen Duy Hai}, J. Math. Anal. Appl. 530, No. 2, Article ID 127721, 35 p. (2024; Zbl 1527.35489) Full Text: DOI
Du, Qiang; Tian, Xiaochuan; Zhou, Zhi Nonlocal diffusion models with consistent local and fractional limits. (English) Zbl 07814301 Mengesha, Tadele (ed.) et al., A\(^3\) N\(^2\) M: approximation, applications, and analysis of nonlocal, nonlinear models. Proceedings of the 50th John H. Barrett memorial lectures, Knoxville, TN, USA, virtual, May 2021. Cham: Springer. IMA Vol. Math. Appl. 165, 175-213 (2023). MSC: 65N30 35R11 47G10 46E35 PDFBibTeX XMLCite \textit{Q. Du} et al., IMA Vol. Math. Appl. 165, 175--213 (2023; Zbl 07814301) Full Text: DOI arXiv
Sun, Liangliang; Wang, Yuxin; Chang, Maoli A fractional-order quasi-reversibility method to a backward problem for the multi-term time-fractional diffusion equation. (English) Zbl 07788924 Taiwanese J. Math. 27, No. 6, 1185-1210 (2023). MSC: 65L08 35R30 35R25 65M30 PDFBibTeX XMLCite \textit{L. Sun} et al., Taiwanese J. Math. 27, No. 6, 1185--1210 (2023; Zbl 07788924) Full Text: DOI
Das, Subhajit; Rahman, Md Sadikur; Shaikh, Ali Akbar; Bhunia, Asoke Kumar; Konstantaras, Ioannis Interval Laplace transform and its application in production inventory. (English) Zbl 07781782 Math. Methods Appl. Sci. 46, No. 4, 3983-4002 (2023). MSC: 44A10 65G40 65R10 90B05 PDFBibTeX XMLCite \textit{S. Das} et al., Math. Methods Appl. Sci. 46, No. 4, 3983--4002 (2023; Zbl 07781782) Full Text: DOI
Eftekhari, Tahereh; Rashidinia, Jalil A new operational vector approach for time-fractional subdiffusion equations of distributed order based on hybrid functions. (English) Zbl 07781131 Math. Methods Appl. Sci. 46, No. 1, 388-407 (2023). MSC: 35R11 65N35 PDFBibTeX XMLCite \textit{T. Eftekhari} and \textit{J. Rashidinia}, Math. Methods Appl. Sci. 46, No. 1, 388--407 (2023; Zbl 07781131) Full Text: DOI
Yu, Qiang; Turner, Ian; Liu, Fawang; Moroney, Timothy A study of distributed-order time fractional diffusion models with continuous distribution weight functions. (English) Zbl 07779715 Numer. Methods Partial Differ. Equations 39, No. 1, 383-420 (2023). MSC: 65M06 65M12 65D32 44A10 35B40 PDFBibTeX XMLCite \textit{Q. Yu} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 383--420 (2023; Zbl 07779715) Full Text: DOI
Chen, Xuejuan; Chen, Jinghua; Liu, Fawang; Sun, Zhi-zhong A fourth-order accurate numerical method for the distributed-order Riesz space fractional diffusion equation. (English) Zbl 07776962 Numer. Methods Partial Differ. Equations 39, No. 2, 1266-1286 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1266--1286 (2023; Zbl 07776962) Full Text: DOI
Sana, Soura; Mandal, Bankim C. Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for heterogeneous sub-diffusion and diffusion-wave equations. (English) Zbl 07772638 Comput. Math. Appl. 150, 102-124 (2023). MSC: 65M12 65M55 65Y05 26A33 65M06 PDFBibTeX XMLCite \textit{S. Sana} and \textit{B. C. Mandal}, Comput. Math. Appl. 150, 102--124 (2023; Zbl 07772638) Full Text: DOI arXiv
Derakhshan, Mohammad Hossein; Rezaei, Hamid; Marasi, Hamid Reza An efficient numerical method for the distributed order time-fractional diffusion equation with error analysis and stability. (English) Zbl 07736774 Math. Comput. Simul. 214, 315-333 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. H. Derakhshan} et al., Math. Comput. Simul. 214, 315--333 (2023; Zbl 07736774) Full Text: DOI
Derakhshan, Mohammad Hossein Stability analysis of difference-Legendre spectral method for two-dimensional Riesz space distributed-order diffusion-wave model. (English) Zbl 07731302 Comput. Math. Appl. 144, 150-163 (2023). MSC: 65-XX 35R11 65M12 26A33 65M06 65M60 PDFBibTeX XMLCite \textit{M. H. Derakhshan}, Comput. Math. Appl. 144, 150--163 (2023; Zbl 07731302) Full Text: DOI
Ansari, Alireza; Derakhshan, Mohammad Hossein On spectral polar fractional Laplacian. (English) Zbl 07700841 Math. Comput. Simul. 206, 636-663 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. Ansari} and \textit{M. H. Derakhshan}, Math. Comput. Simul. 206, 636--663 (2023; Zbl 07700841) Full Text: DOI
Bhatt, H. P. Numerical simulation of high-dimensional two-component reaction-diffusion systems with fractional derivatives. (English) Zbl 1524.65315 Int. J. Comput. Math. 100, No. 1, 47-68 (2023). MSC: 65M06 65T50 35B36 65L06 65M12 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{H. P. Bhatt}, Int. J. Comput. Math. 100, No. 1, 47--68 (2023; Zbl 1524.65315) Full Text: DOI
Mahmoudi, Mahmoud; Shojaeizadeh, Tahereh; Darehmiraki, Majid Optimal control of time-fractional convection-diffusion-reaction problem employing compact integrated RBF method. (English) Zbl 1516.49012 Math. Sci., Springer 17, No. 1, 1-14 (2023). MSC: 49J45 65M12 49K40 PDFBibTeX XMLCite \textit{M. Mahmoudi} et al., Math. Sci., Springer 17, No. 1, 1--14 (2023; Zbl 1516.49012) Full Text: DOI
Ahmed, Hoda F.; Hashem, W. A. Improved Gegenbauer spectral tau algorithms for distributed-order time-fractional telegraph models in multi-dimensions. (English) Zbl 07694958 Numer. Algorithms 93, No. 3, 1013-1043 (2023). MSC: 65Mxx PDFBibTeX XMLCite \textit{H. F. Ahmed} and \textit{W. A. Hashem}, Numer. Algorithms 93, No. 3, 1013--1043 (2023; Zbl 07694958) Full Text: DOI
Bulle, Raphaël; Barrera, Olga; Bordas, Stéphane P. A.; Chouly, Franz; Hale, Jack S. An a posteriori error estimator for the spectral fractional power of the Laplacian. (English) Zbl 07665597 Comput. Methods Appl. Mech. Eng. 407, Article ID 115943, 27 p. (2023). MSC: 65N15 65N30 PDFBibTeX XMLCite \textit{R. Bulle} et al., Comput. Methods Appl. Mech. Eng. 407, Article ID 115943, 27 p. (2023; Zbl 07665597) Full Text: DOI arXiv
Bonyadi, Samira; Mahmoudi, Yaghoub; Lakestani, Mehrdad; Jahangiri, Rad Mohammad Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method. (English) Zbl 1524.65639 Comput. Methods Differ. Equ. 11, No. 1, 81-94 (2023). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{S. Bonyadi} et al., Comput. Methods Differ. Equ. 11, No. 1, 81--94 (2023; Zbl 1524.65639) Full Text: DOI
Kumar, Yashveer; Srivastava, Nikhil; Singh, Aman; Singh, Vineet Kumar Wavelets based computational algorithms for multidimensional distributed order fractional differential equations with nonlinear source term. (English) Zbl 07648417 Comput. Math. Appl. 132, 73-103 (2023). MSC: 65M70 26A33 34A08 65T60 65L60 65L05 PDFBibTeX XMLCite \textit{Y. Kumar} et al., Comput. Math. Appl. 132, 73--103 (2023; Zbl 07648417) Full Text: DOI
Banjai, Lehel; Melenk, Jens M.; Schwab, Christoph Exponential convergence of hp FEM for spectral fractional diffusion in polygons. (English) Zbl 1511.65117 Numer. Math. 153, No. 1, 1-47 (2023). MSC: 65N30 65N50 65N12 65N15 35J86 35B35 26A33 35R11 PDFBibTeX XMLCite \textit{L. Banjai} et al., Numer. Math. 153, No. 1, 1--47 (2023; Zbl 1511.65117) Full Text: DOI arXiv
Duc, Nguyen Van; Thang, Nguyen Van; Thành, Nguyen Trung The quasi-reversibility method for an inverse source problem for time-space fractional parabolic equations. (English) Zbl 1502.35203 J. Differ. Equations 344, 102-130 (2023). MSC: 35R30 35K20 35R11 65M32 PDFBibTeX XMLCite \textit{N. Van Duc} et al., J. Differ. Equations 344, 102--130 (2023; Zbl 1502.35203) Full Text: DOI
Kumar, Anish; Das, Sourav Integral transforms and probability distributions for a certain class of fox-wright type functions and its applications. (English) Zbl 07594659 Math. Comput. Simul. 203, 803-825 (2023). MSC: 44-XX 65-XX PDFBibTeX XMLCite \textit{A. Kumar} and \textit{S. Das}, Math. Comput. Simul. 203, 803--825 (2023; Zbl 07594659) Full Text: DOI
Płociniczak, Łukasz; Świtała, Mateusz Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method. (English) Zbl 1503.65182 Fract. Calc. Appl. Anal. 25, No. 4, 1651-1687 (2022). MSC: 65M06 65M60 65R20 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{Ł. Płociniczak} and \textit{M. Świtała}, Fract. Calc. Appl. Anal. 25, No. 4, 1651--1687 (2022; Zbl 1503.65182) Full Text: DOI arXiv
Aceto, Lidia; Durastante, Fabio Efficient computation of the Wright function and its applications to fractional diffusion-wave equations. (English) Zbl 1508.65014 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2181-2196 (2022). MSC: 65D20 65D30 44A10 26A33 33E12 PDFBibTeX XMLCite \textit{L. Aceto} and \textit{F. Durastante}, ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2181--2196 (2022; Zbl 1508.65014) Full Text: DOI arXiv
Han, Rubing; Wu, Shuonan A monotone discretization for integral fractional Laplacian on bounded Lipschitz domains: pointwise error estimates under Hölder regularity. (English) Zbl 1506.65184 SIAM J. Numer. Anal. 60, No. 6, 3052-3077 (2022). MSC: 65N06 65N12 65N15 26A33 35B65 35R11 PDFBibTeX XMLCite \textit{R. Han} and \textit{S. Wu}, SIAM J. Numer. Anal. 60, No. 6, 3052--3077 (2022; Zbl 1506.65184) Full Text: DOI arXiv
Hosseini, Vahid Reza; Rezazadeh, Arezou; Zheng, Hui; Zou, Wennan A nonlocal modeling for solving time fractional diffusion equation arising in fluid mechanics. (English) Zbl 1497.65204 Fractals 30, No. 5, Article ID 2240155, 21 p. (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M99 26A33 35R11 42C10 41A58 76R50 PDFBibTeX XMLCite \textit{V. R. Hosseini} et al., Fractals 30, No. 5, Article ID 2240155, 21 p. (2022; Zbl 1497.65204) Full Text: DOI
Labadla, A.; Chaoui, A. Discretization scheme of fractional parabolic equation with nonlocal coefficient and unknown flux on the Dirichlet boundary. (English) Zbl 07553749 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 1, 63-76 (2022). MSC: 65-XX 35D30 35R11 65M20 65M22 PDFBibTeX XMLCite \textit{A. Labadla} and \textit{A. Chaoui}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 1, 63--76 (2022; Zbl 07553749) Full Text: Link Link
Feng, Xiaoli; Zhao, Meixia; Qian, Zhi A Tikhonov regularization method for solving a backward time-space fractional diffusion problem. (English) Zbl 1490.35535 J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022). MSC: 35R25 35R30 47A52 65M06 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022; Zbl 1490.35535) Full Text: DOI
Wang, Yibo; Du, Rui; Chai, Zhenhua Lattice Boltzmann model for time-fractional nonlinear wave equations. (English) Zbl 1499.65591 Adv. Appl. Math. Mech. 14, No. 4, 914-935 (2022). MSC: 65M75 82C40 35Q20 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Wang} et al., Adv. Appl. Math. Mech. 14, No. 4, 914--935 (2022; Zbl 1499.65591) Full Text: DOI
Zhu, Xiaogang; Li, Jimeng; Zhang, Yaping A local RBFs-based DQ approximation for Riesz fractional derivatives and its applications. (English) Zbl 07512659 Numer. Algorithms 90, No. 1, 159-196 (2022). MSC: 65M70 35R11 65D12 PDFBibTeX XMLCite \textit{X. Zhu} et al., Numer. Algorithms 90, No. 1, 159--196 (2022; Zbl 07512659) Full Text: DOI
Vabishchevich, Petr N. Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator. (English) Zbl 1524.65405 J. Comput. Appl. Math. 407, Article ID 114096, 13 p. (2022). MSC: 65M06 26A33 35R11 65F60 65D32 35B45 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 407, Article ID 114096, 13 p. (2022; Zbl 1524.65405) Full Text: DOI arXiv
Singh, Jagdev; Kumar, Devendra; Purohit, Sunil Dutt; Mishra, Aditya Mani; Bohra, Mahesh An efficient numerical approach for fractional multidimensional diffusion equations with exponential memory. (English) Zbl 07776036 Numer. Methods Partial Differ. Equations 37, No. 2, 1631-1651 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Singh} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 1631--1651 (2021; Zbl 07776036) Full Text: DOI
Hendy, Ahmed S.; Zaky, Mahmoud A. Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation. (English) Zbl 1517.35206 Nonlinear Dyn. 103, No. 3, 2493-2507 (2021). MSC: 35Q55 35R11 65N30 PDFBibTeX XMLCite \textit{A. S. Hendy} and \textit{M. A. Zaky}, Nonlinear Dyn. 103, No. 3, 2493--2507 (2021; Zbl 1517.35206) Full Text: DOI
Gao, Xinghua; Li, Hong; Liu, Yan Error estimation of finite element solution for a distributed-order diffusion-wave equation. (Chinese. English summary) Zbl 1513.65026 Math. Numer. Sin. 43, No. 4, 493-505 (2021). MSC: 65D17 65M12 65M60 PDFBibTeX XMLCite \textit{X. Gao} et al., Math. Numer. Sin. 43, No. 4, 493--505 (2021; Zbl 1513.65026) 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
Heidel, Gennadij; Khoromskaia, Venera; Khoromskij, Boris N.; Schulz, Volker Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints. (English) Zbl 07508470 J. Comput. Phys. 424, Article ID 109865, 21 p. (2021). MSC: 65-XX 15-XX PDFBibTeX XMLCite \textit{G. Heidel} et al., J. Comput. Phys. 424, Article ID 109865, 21 p. (2021; Zbl 07508470) Full Text: DOI arXiv
Ramezani, Mohammad Numerical analysis WSGD scheme for one- and two-dimensional distributed order fractional reaction-diffusion equation with collocation method via fractional B-spline. (English) Zbl 07486479 Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 41, 29 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Ramezani}, Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 41, 29 p. (2021; Zbl 07486479) Full Text: DOI
Pourbabaee, Marzieh; Saadatmandi, Abbas The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications. (English) Zbl 1491.65113 Int. J. Comput. Math. 98, No. 11, 2310-2329 (2021). MSC: 65M70 65D32 65M15 41A50 26A33 35R11 PDFBibTeX XMLCite \textit{M. Pourbabaee} and \textit{A. Saadatmandi}, Int. J. Comput. Math. 98, No. 11, 2310--2329 (2021; Zbl 1491.65113) Full Text: DOI
Chen, An Two efficient Galerkin finite element methods for the modified anomalous subdiffusion equation. (English) Zbl 1480.65249 Int. J. Comput. Math. 98, No. 9, 1834-1851 (2021). MSC: 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{A. Chen}, Int. J. Comput. Math. 98, No. 9, 1834--1851 (2021; Zbl 1480.65249) Full Text: DOI
Ferrás, Luís L.; Ford, Neville; Morgado, Maria Luísa; Rebelo, Magda High-order methods for systems of fractional ordinary differential equations and their application to time-fractional diffusion equations. (English) Zbl 07465789 Math. Comput. Sci. 15, No. 4, 535-551 (2021). MSC: 45K05 65L20 65M12 65R20 PDFBibTeX XMLCite \textit{L. L. Ferrás} et al., Math. Comput. Sci. 15, No. 4, 535--551 (2021; Zbl 07465789) Full Text: DOI Link
Jia, Jinhong; Zheng, Xiangcheng; Wang, Hong Analysis and fast approximation of a steady-state spatially-dependent distributed-order space-fractional diffusion equation. (English) Zbl 1498.65171 Fract. Calc. Appl. Anal. 24, No. 5, 1477-1506 (2021). MSC: 65M70 35R11 65R20 PDFBibTeX XMLCite \textit{J. Jia} et al., Fract. Calc. Appl. Anal. 24, No. 5, 1477--1506 (2021; Zbl 1498.65171) Full Text: DOI
Kumar Mishra, Hradyesh; Pandey, Rishi Kumar Time-fractional nonlinear dispersive type of the Zakharov-Kuznetsov equation via HAFSTM. (English) Zbl 1490.35521 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 97-110 (2021). MSC: 35R11 65M99 35Q53 PDFBibTeX XMLCite \textit{H. Kumar Mishra} and \textit{R. K. Pandey}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 97--110 (2021; Zbl 1490.35521) Full Text: DOI
Samiee, Mehdi; Kharazmi, Ehsan; Meerschaert, Mark M.; Zayernouri, Mohsen A unified Petrov-Galerkin spectral method and fast solver for distributed-order partial differential equations. (English) Zbl 1476.65272 Commun. Appl. Math. Comput. 3, No. 1, 61-90 (2021). MSC: 65M70 35Q49 58C40 65M12 65M15 PDFBibTeX XMLCite \textit{M. Samiee} et al., Commun. Appl. Math. Comput. 3, No. 1, 61--90 (2021; Zbl 1476.65272) Full Text: DOI
Egorova, Vera N.; Trucchia, Andrea; Pagnini, Gianni Physical parametrisation of fire-spotting for operational wildfire simulators. (English) Zbl 07431162 Asensio, María Isabel (ed.) et al., Applied mathematics for environmental problems. Selected papers based on the presentations of the mini-symposium at ICIAM 2019, Valencia, Spain, July 15–19, 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 21-38 (2021). MSC: 65-XX 35-XX 76-XX 92D40 PDFBibTeX XMLCite \textit{V. N. Egorova} et al., SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 21--38 (2021; Zbl 07431162) Full Text: DOI
Asensio, M. I.; Ferragut, L.; Álvarez, D.; Laiz, P.; Cascón, J. M.; Prieto, D.; Pagnini, G. PhyFire: an online GIS-integrated wildfire spread simulation tool based on a semiphysical model. (English) Zbl 07431161 Asensio, María Isabel (ed.) et al., Applied mathematics for environmental problems. Selected papers based on the presentations of the mini-symposium at ICIAM 2019, Valencia, Spain, July 15–19, 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 1-20 (2021). MSC: 65-XX 35-XX 76-XX 92D40 PDFBibTeX XMLCite \textit{M. I. Asensio} et al., SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 1--20 (2021; Zbl 07431161) Full Text: DOI
Jian, Huan-Yan; Huang, Ting-Zhu; Ostermann, Alexander; Gu, Xian-Ming; Zhao, Yong-Liang Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods. (English) Zbl 1510.65196 Appl. Math. Comput. 408, Article ID 126360, 17 p. (2021). MSC: 65M06 35K57 35R11 65M22 PDFBibTeX XMLCite \textit{H.-Y. Jian} et al., Appl. Math. Comput. 408, Article ID 126360, 17 p. (2021; Zbl 1510.65196) Full Text: DOI
Wen, Cao; Liu, Yang; Yin, Baoli; Li, Hong; Wang, Jinfeng Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model. (English) Zbl 1483.65161 Numer. Algorithms 88, No. 2, 523-553 (2021). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65M60 35R11 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{C. Wen} et al., Numer. Algorithms 88, No. 2, 523--553 (2021; Zbl 1483.65161) Full Text: DOI
Alessandri, Angelo; Bagnerini, Patrizia; Gaggero, Mauro; Mantelli, Luca Parameter estimation of fire propagation models using level set methods. (English) Zbl 1481.49035 Appl. Math. Modelling 92, 731-747 (2021). MSC: 49N45 65M32 PDFBibTeX XMLCite \textit{A. Alessandri} et al., Appl. Math. Modelling 92, 731--747 (2021; Zbl 1481.49035) Full Text: DOI arXiv
Abedini, Ayub; Ivaz, Karim; Shahmorad, Sedaghat; Dadvand, Abdolrahman Numerical solution of the time-fractional Navier-Stokes equations for incompressible flow in a lid-driven cavity. (English) Zbl 1476.35151 Comput. Appl. Math. 40, No. 1, Paper No. 34, 39 p. (2021). MSC: 35N10 76D05 35Q30 65N40 PDFBibTeX XMLCite \textit{A. Abedini} et al., Comput. Appl. Math. 40, No. 1, Paper No. 34, 39 p. (2021; Zbl 1476.35151) Full Text: DOI
Shao, Xin-Hui; Li, Yu-Han; Shen, Hai-Long Quasi-Toeplitz trigonometric transform splitting methods for spatial fractional diffusion equations. (English) Zbl 1500.65047 J. Sci. Comput. 89, No. 1, Paper No. 10, 24 p. (2021). MSC: 65M06 65N06 15B05 15A18 65F08 65F10 60K50 26A33 35R11 PDFBibTeX XMLCite \textit{X.-H. Shao} et al., J. Sci. Comput. 89, No. 1, Paper No. 10, 24 p. (2021; Zbl 1500.65047) Full Text: DOI
Rodríguez-Rozas, Ángel; Acebrón, Juan A.; Spigler, Renato The PDD method for solving linear, nonlinear, and fractional PDEs problems. (English) Zbl 1498.65154 Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 239-273 (2021). MSC: 65M55 65N55 65C05 65D05 65Y05 65M25 35K58 35Q83 35Q53 26A33 35R11 82D10 35R60 PDFBibTeX XMLCite \textit{Á. Rodríguez-Rozas} et al., SEMA SIMAI Springer Ser. 26, 239--273 (2021; Zbl 1498.65154) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation. (English) Zbl 1486.65157 Appl. Numer. Math. 169, 44-63 (2021). MSC: 65M60 65M06 65N30 65M75 65M12 26A33 35R11 35R07 35R10 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 169, 44--63 (2021; Zbl 1486.65157) Full Text: DOI
Karimi, Milad; Zallani, Fatemeh; Sayevand, Khosro Wavelet regularization strategy for the fractional inverse diffusion problem. (English) Zbl 1486.65152 Numer. Algorithms 87, No. 4, 1679-1705 (2021). MSC: 65M32 65M30 65T60 65M12 41A25 35K05 42C40 65F22 35R25 26A33 35R11 PDFBibTeX XMLCite \textit{M. Karimi} et al., Numer. Algorithms 87, No. 4, 1679--1705 (2021; Zbl 1486.65152) Full Text: DOI
Roumaissa, Sassane; Nadjib, Boussetila; Faouzia, Rebbani; Abderafik, Benrabah Iterative regularization method for an abstract ill-posed generalized elliptic equation. (English) Zbl 1469.35239 Asian-Eur. J. Math. 14, No. 5, Article ID 2150069, 22 p. (2021). MSC: 35R25 35R30 35J15 65F22 26A33 PDFBibTeX XMLCite \textit{S. Roumaissa} et al., Asian-Eur. J. Math. 14, No. 5, Article ID 2150069, 22 p. (2021; Zbl 1469.35239) Full Text: DOI
Liu, J. J.; Sun, C. L.; Yamamoto, M. Recovering the weight function in distributed order fractional equation from interior measurement. (English) Zbl 1486.65154 Appl. Numer. Math. 168, 84-103 (2021). MSC: 65M32 65M06 65N06 65K10 49N45 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{J. J. Liu} et al., Appl. Numer. Math. 168, 84--103 (2021; Zbl 1486.65154) Full Text: DOI
Consiglio, Armando; Mainardi, Francesco On the evolution of fractional diffusive waves. (English) Zbl 1469.35219 Ric. Mat. 70, No. 1, 21-33 (2021). MSC: 35R11 26A33 33E12 34A08 35-03 65D20 60J60 74J05 PDFBibTeX XMLCite \textit{A. Consiglio} and \textit{F. Mainardi}, Ric. Mat. 70, No. 1, 21--33 (2021; Zbl 1469.35219) Full Text: DOI arXiv
Zhao, Yong-Liang; Gu, Xian-Ming; Ostermann, Alexander A preconditioning technique for an all-at-once system from Volterra subdiffusion equations with graded time steps. (English) Zbl 1468.76055 J. Sci. Comput. 88, No. 1, Paper No. 11, 22 p. (2021). MSC: 76M99 76R50 65F08 65Y05 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., J. Sci. Comput. 88, No. 1, Paper No. 11, 22 p. (2021; Zbl 1468.76055) Full Text: DOI arXiv
Jesus, Carla; Sousa, Ercília Numerical solutions for asymmetric Lévy flights. (English) Zbl 1476.65173 Numer. Algorithms 87, No. 3, 967-999 (2021). MSC: 65M06 65M12 65M80 60G51 60G50 42A38 26A33 35R11 PDFBibTeX XMLCite \textit{C. Jesus} and \textit{E. Sousa}, Numer. Algorithms 87, No. 3, 967--999 (2021; Zbl 1476.65173) Full Text: DOI
Ehstand, Noémie; Kuehn, Christian; Soresina, Cinzia Numerical continuation for fractional PDEs: sharp teeth and bloated snakes. (English) Zbl 1471.65138 Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105762, 23 p. (2021). MSC: 65M60 65N30 65D32 35B32 35K20 35R11 PDFBibTeX XMLCite \textit{N. Ehstand} et al., Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105762, 23 p. (2021; Zbl 1471.65138) Full Text: DOI arXiv
Chou, Lot-Kei; Lei, Siu-Long Finite volume approximation with ADI scheme and low-rank solver for high dimensional spatial distributed-order fractional diffusion equations. (English) Zbl 1524.65451 Comput. Math. Appl. 89, 116-126 (2021). MSC: 65M08 35R11 65M06 65M12 26A33 15B05 65N08 65F55 PDFBibTeX XMLCite \textit{L.-K. Chou} and \textit{S.-L. Lei}, Comput. Math. Appl. 89, 116--126 (2021; Zbl 1524.65451) Full Text: DOI
Sun, L. L.; Li, Y. S.; Zhang, Y. Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation. (English) Zbl 1462.35469 Inverse Probl. 37, No. 5, Article ID 055007, 26 p. (2021). MSC: 35R30 35R11 35K20 65M32 26A33 PDFBibTeX XMLCite \textit{L. L. Sun} et al., Inverse Probl. 37, No. 5, Article ID 055007, 26 p. (2021; Zbl 1462.35469) 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
Vabishchevich, P. N. An approximate representation of a solution to fractional elliptical BVP via solution of parabolic IVP. (English) Zbl 1466.65166 J. Comput. Appl. Math. 391, Article ID 113460, 13 p. (2021). MSC: 65N06 35J25 35R11 65F60 65D32 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 391, Article ID 113460, 13 p. (2021; Zbl 1466.65166) Full Text: DOI arXiv
Biala, T. A.; Khaliq, Abdul Q. M. Predictor-corrector schemes for nonlinear space-fractional parabolic PDEs with time-dependent boundary conditions. (English) Zbl 1460.65111 Appl. Numer. Math. 160, 1-22 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65M06 65N06 65D32 65L10 41A21 35R11 65M15 PDFBibTeX XMLCite \textit{T. A. Biala} and \textit{A. Q. M. Khaliq}, Appl. Numer. Math. 160, 1--22 (2021; Zbl 1460.65111) Full Text: DOI
D’Elia, Marta; Du, Qiang; Glusa, Christian; Gunzburger, Max; Tian, Xiaochuan; Zhou, Zhi Numerical methods for nonlocal and fractional models. (English) Zbl 07674560 Acta Numerica 29, 1-124 (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. D'Elia} et al., Acta Numerica 29, 1--124 (2020; Zbl 07674560) Full Text: DOI arXiv
ur Rehman, Mujeeb; Baleanu, Dumitru; Alzabut, Jehad; Ismail, Muhammad; Saeed, Umer Green-Haar wavelets method for generalized fractional differential equations. (English) Zbl 1486.65307 Adv. Difference Equ. 2020, Paper No. 515, 24 p. (2020). MSC: 65T60 34A08 26A33 PDFBibTeX XMLCite \textit{M. ur Rehman} et al., Adv. Difference Equ. 2020, Paper No. 515, 24 p. (2020; Zbl 1486.65307) Full Text: DOI
Zhang, Hongwu; Zhang, Xiaoju Solving the Riesz-Feller space-fractional backward diffusion problem by a generalized Tikhonov method. (English) Zbl 1485.35411 Adv. Difference Equ. 2020, Paper No. 390, 16 p. (2020). MSC: 35R11 35R25 26A33 65M30 65M32 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{X. Zhang}, Adv. Difference Equ. 2020, Paper No. 390, 16 p. (2020; Zbl 1485.35411) 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
Fei, Mingfa; Huang, Chengming Galerkin-Legendre spectral method for the distributed-order time fractional fourth-order partial differential equation. (English) Zbl 1483.65164 Int. J. Comput. Math. 97, No. 6, 1183-1196 (2020). MSC: 65M70 35R11 65M12 PDFBibTeX XMLCite \textit{M. Fei} and \textit{C. Huang}, Int. J. Comput. Math. 97, No. 6, 1183--1196 (2020; Zbl 1483.65164) Full Text: DOI
Boukaram, Wajih; Lucchesi, Marco; Turkiyyah, George; Le Maître, Olivier; Knio, Omar; Keyes, David Hierarchical matrix approximations for space-fractional diffusion equations. (English) Zbl 1506.65142 Comput. Methods Appl. Mech. Eng. 369, Article ID 113191, 21 p. (2020). MSC: 65M22 65Y10 PDFBibTeX XMLCite \textit{W. Boukaram} et al., Comput. Methods Appl. Mech. Eng. 369, Article ID 113191, 21 p. (2020; Zbl 1506.65142) Full Text: DOI HAL
Toranj-Simin, M.; Hadizadeh, M. Spectral collocation method for a class of integro-differential equations with Erdélyi-Kober fractional operator. (English) Zbl 1499.65356 Adv. Appl. Math. Mech. 12, No. 2, 386-406 (2020). MSC: 65L60 34K37 45J05 47G20 65R20 PDFBibTeX XMLCite \textit{M. Toranj-Simin} and \textit{M. Hadizadeh}, Adv. Appl. Math. Mech. 12, No. 2, 386--406 (2020; Zbl 1499.65356) Full Text: DOI
Sun, Chunlong; Liu, Jijun An inverse source problem for distributed order time-fractional diffusion equation. (English) Zbl 1469.35263 Inverse Probl. 36, No. 5, Article ID 055008, 30 p. (2020). MSC: 35R30 35K20 35R11 65M32 PDFBibTeX XMLCite \textit{C. Sun} and \textit{J. Liu}, Inverse Probl. 36, No. 5, Article ID 055008, 30 p. (2020; Zbl 1469.35263) Full Text: DOI
Ali, Muhammad; Aziz, Sara; Malik, Salman A. Inverse source problems for a space-time fractional differential equation. (English) Zbl 1466.35365 Inverse Probl. Sci. Eng. 28, No. 1, 47-68 (2020). MSC: 35R30 35R11 65N21 80A23 PDFBibTeX XMLCite \textit{M. Ali} et al., Inverse Probl. Sci. Eng. 28, No. 1, 47--68 (2020; Zbl 1466.35365) Full Text: DOI
Taghavi, Ali; Babaei, Afshin; Mohammadpour, Alireza On the stable implicit finite differences approximation of diffusion equation with the time fractional derivative without singular kernel. (English) Zbl 1468.65112 Asian-Eur. J. Math. 13, No. 6, Article ID 2050111, 17 p. (2020). MSC: 65M06 65M12 65D30 35A22 35R11 PDFBibTeX XMLCite \textit{A. Taghavi} et al., Asian-Eur. J. Math. 13, No. 6, Article ID 2050111, 17 p. (2020; Zbl 1468.65112) Full Text: DOI
Lischke, Anna; Pang, Guofei; Gulian, Mamikon; Song, Fangying; Glusa, Christian; Zheng, Xiaoning; Mao, Zhiping; Cai, Wei; Meerschaert, Mark M.; Ainsworth, Mark; Karniadakis, George Em What is the fractional Laplacian? A comparative review with new results. (English) Zbl 1453.35179 J. Comput. Phys. 404, Article ID 109009, 62 p. (2020). MSC: 35R11 60G51 35A01 35A02 65N30 65C05 35-02 65-02 PDFBibTeX XMLCite \textit{A. Lischke} et al., J. Comput. Phys. 404, Article ID 109009, 62 p. (2020; Zbl 1453.35179) Full Text: DOI Link
Toranj-Simin, Mohammad; Hadizadeh, Mahmoud On a class of noncompact weakly singular Volterra integral equations: theory and application to fractional differential equations with variable coefficient. (English) Zbl 1464.45004 J. Integral Equations Appl. 32, No. 2, 193-212 (2020). MSC: 45D05 45P05 34A08 26A33 65R20 PDFBibTeX XMLCite \textit{M. Toranj-Simin} and \textit{M. Hadizadeh}, J. Integral Equations Appl. 32, No. 2, 193--212 (2020; Zbl 1464.45004) Full Text: DOI Euclid
Trong, Dang Duc; Dien, Nguyen Minh; Viet, Tran Quoc Global solution of space-fractional diffusion equations with nonlinear reaction source terms. (English) Zbl 1450.35281 Appl. Anal. 99, No. 15, 2707-2737 (2020). MSC: 35R11 35R25 35R30 35K15 35K57 65J20 PDFBibTeX XMLCite \textit{D. D. Trong} et al., Appl. Anal. 99, No. 15, 2707--2737 (2020; Zbl 1450.35281) Full Text: DOI
Zaky, Mahmoud A.; Machado, J. Tenreiro Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations. (English) Zbl 1443.65257 Comput. Math. Appl. 79, No. 2, 476-488 (2020). MSC: 65M70 PDFBibTeX XMLCite \textit{M. A. Zaky} and \textit{J. T. Machado}, Comput. Math. Appl. 79, No. 2, 476--488 (2020; Zbl 1443.65257) Full Text: DOI
Gao, Xinghua; Liu, Fawang; Li, Hong; Liu, Yang; Turner, Ian; Yin, Baoli A novel finite element method for the distributed-order time fractional Cable equation in two dimensions. (English) Zbl 1447.65072 Comput. Math. Appl. 80, No. 5, 923-939 (2020). MSC: 65M60 65M06 65M12 35R11 26A33 92C20 35Q92 PDFBibTeX XMLCite \textit{X. Gao} et al., Comput. Math. Appl. 80, No. 5, 923--939 (2020; Zbl 1447.65072) Full Text: DOI
Bazzaev, Aleksandr K. On the stability and convergence of difference schemes for the generalized fractional diffusion equation with Robin boundary value conditions. (English) Zbl 1441.65072 Sib. Èlektron. Mat. Izv. 17, 738-752 (2020). MSC: 65M12 35R11 65M06 PDFBibTeX XMLCite \textit{A. K. Bazzaev}, Sib. Èlektron. Mat. Izv. 17, 738--752 (2020; Zbl 1441.65072) Full Text: DOI
Yang, Zhiwei; Zheng, Xiangcheng; Wang, Hong A variably distributed-order time-fractional diffusion equation: analysis and approximation. (English) Zbl 1442.76074 Comput. Methods Appl. Mech. Eng. 367, Article ID 113118, 15 p. (2020). MSC: 76M10 65M60 35R11 65M15 74F10 76S05 PDFBibTeX XMLCite \textit{Z. Yang} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113118, 15 p. (2020; Zbl 1442.76074) Full Text: DOI
Cusimano, Nicole; Del Teso, Félix; Gerardo-Giorda, Luca Numerical approximations for fractional elliptic equations via the method of semigroups. (English) Zbl 1452.35237 ESAIM, Math. Model. Numer. Anal. 54, No. 3, 751-774 (2020). Reviewer: Mohammed Kaabar (Gelugor) MSC: 35R11 35S15 65R20 65N15 65N25 41A55 26A33 35J25 PDFBibTeX XMLCite \textit{N. Cusimano} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 3, 751--774 (2020; Zbl 1452.35237) Full Text: DOI arXiv
Bhatt, H. P.; Khaliq, A. Q. M.; Furati, K. M. Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions. (English) Zbl 1437.65089 Numer. Algorithms 83, No. 4, 1373-1397 (2020). MSC: 65M06 65F05 26A33 35R11 35K57 80A32 35Q79 65M12 65M15 PDFBibTeX XMLCite \textit{H. P. Bhatt} et al., Numer. Algorithms 83, No. 4, 1373--1397 (2020; Zbl 1437.65089) Full Text: DOI
Bu, Weiping; Ji, Lun; Tang, Yifa; Zhou, Jie Space-time finite element method for the distributed-order time fractional reaction diffusion equations. (English) Zbl 1434.65177 Appl. Numer. Math. 152, 446-465 (2020). Reviewer: Hu Chen (Beijing) MSC: 65M60 65M12 35R11 65D32 PDFBibTeX XMLCite \textit{W. Bu} et al., Appl. Numer. Math. 152, 446--465 (2020; Zbl 1434.65177) Full Text: DOI
Li, Lang; Liu, Fawang; Feng, Libo; Turner, Ian A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation. (English) Zbl 1440.65142 J. Comput. Appl. Math. 368, Article ID 112589, 18 p. (2020). MSC: 65M60 65N30 65M06 65D30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{L. Li} et al., J. Comput. Appl. Math. 368, Article ID 112589, 18 p. (2020; Zbl 1440.65142) Full Text: DOI
Nandal, Sarita; Pandey, Dwijendra Narain Numerical solution of non-linear fourth order fractional sub-diffusion wave equation with time delay. (English) Zbl 1433.65163 Appl. Math. Comput. 369, Article ID 124900, 14 p. (2020). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{S. Nandal} and \textit{D. N. Pandey}, Appl. Math. Comput. 369, Article ID 124900, 14 p. (2020; Zbl 1433.65163) Full Text: DOI
Abdel-Rehim, E. A. From the space-time fractional integral of the continuous time random walk to the space-time fractional diffusion equations, a short proof and simulation. (English) Zbl 07569409 Physica A 531, Article ID 121547, 10 p. (2019). MSC: 82-XX 26A33 35L05 60J60 45K05 47G30 33E20 65N06 60G52 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, Physica A 531, Article ID 121547, 10 p. (2019; Zbl 07569409) Full Text: DOI
Zhu, Xiaogang; Nie, Yufeng; Yuan, Zhanbin; Wang, Jungang; Yang, Zongze A Galerkin FEM for Riesz space-fractional CNLS. (English) Zbl 1485.35415 Adv. Difference Equ. 2019, Paper No. 329, 20 p. (2019). MSC: 35R11 65M60 65M12 PDFBibTeX XMLCite \textit{X. Zhu} et al., Adv. Difference Equ. 2019, Paper No. 329, 20 p. (2019; Zbl 1485.35415) Full Text: DOI
Li, Xiaoli; Rui, Hongxing A block-centred finite difference method for the distributed-order differential equation with Neumann boundary condition. (English) Zbl 1499.65411 Int. J. Comput. Math. 96, No. 3, 622-639 (2019). MSC: 65M06 65N06 65M12 65M15 26A33 PDFBibTeX XMLCite \textit{X. Li} and \textit{H. Rui}, Int. J. Comput. Math. 96, No. 3, 622--639 (2019; Zbl 1499.65411) Full Text: DOI
Bazzaev, Aleksandr Kazbekovich; Tsopanov, Igor’ Dzastemirovich Difference schemes for partial differential equations of fractional order. (Russian. English summary) Zbl 1463.65270 Ufim. Mat. Zh. 11, No. 2, 19-35 (2019); translation in Ufa Math. J. 11, No. 2, 19-33 (2019). MSC: 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{A. K. Bazzaev} and \textit{I. D. Tsopanov}, Ufim. Mat. Zh. 11, No. 2, 19--35 (2019; Zbl 1463.65270); translation in Ufa Math. J. 11, No. 2, 19--33 (2019) Full Text: DOI MNR
Feng, Libo; Liu, Fawang; Turner, Ian Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains. (English) Zbl 1464.65119 Commun. Nonlinear Sci. Numer. Simul. 70, 354-371 (2019). MSC: 65M60 PDFBibTeX XMLCite \textit{L. Feng} et al., Commun. Nonlinear Sci. Numer. Simul. 70, 354--371 (2019; Zbl 1464.65119) Full Text: DOI Link
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
Xu, Qinwu; Xu, Yufeng Quenching study of two-dimensional fractional reaction-diffusion equation from combustion process. (English) Zbl 1442.80006 Comput. Math. Appl. 78, No. 5, 1490-1506 (2019). MSC: 80A25 92E20 35R11 65M60 PDFBibTeX XMLCite \textit{Q. Xu} and \textit{Y. Xu}, Comput. Math. Appl. 78, No. 5, 1490--1506 (2019; Zbl 1442.80006) Full Text: DOI
Salehi, Rezvan Two implicit meshless finite point schemes for the two-dimensional distributed-order fractional equation. (English) Zbl 1434.65209 Comput. Methods Appl. Math. 19, No. 4, 813-831 (2019). MSC: 65M70 65M12 65M15 35R11 60G22 PDFBibTeX XMLCite \textit{R. Salehi}, Comput. Methods Appl. Math. 19, No. 4, 813--831 (2019; Zbl 1434.65209) Full Text: DOI
Trong, Dang Duc; Hai, Dinh Nguyen Duy; Minh, Nguyen Dang Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem. (English) Zbl 1431.65157 J. Inverse Ill-Posed Probl. 27, No. 6, 759-775 (2019). MSC: 65M32 35R30 47A52 35R11 65M30 PDFBibTeX XMLCite \textit{D. D. Trong} et al., J. Inverse Ill-Posed Probl. 27, No. 6, 759--775 (2019; Zbl 1431.65157) Full Text: DOI