Kumar, Saurabh; Gupta, Vikas Collocation method with Lagrange polynomials for variable-order time-fractional advection-diffusion problems. (English) Zbl 07823736 Math. Methods Appl. Sci. 47, No. 2, 1113-1131 (2024). MSC: 35R11 65M12 65N35 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{V. Gupta}, Math. Methods Appl. Sci. 47, No. 2, 1113--1131 (2024; Zbl 07823736) Full Text: DOI
Wang, Wanli; Barkai, Eli Fractional advection diffusion asymmetry equation, derivation, solution and application. (English) Zbl 07796337 J. Phys. A, Math. Theor. 57, No. 3, Article ID 035203, 32 p. (2024). MSC: 60-XX 82-XX PDFBibTeX XMLCite \textit{W. Wang} and \textit{E. Barkai}, J. Phys. A, Math. Theor. 57, No. 3, Article ID 035203, 32 p. (2024; Zbl 07796337) Full Text: DOI arXiv
Tang, Shi-Ping; Huang, Yu-Mei A fast preconditioning iterative method for solving the discretized second-order space-fractional advection-diffusion equations. (English) Zbl 07756734 J. Comput. Appl. Math. 438, Article ID 115513, 26 p. (2024). MSC: 65Mxx 35Rxx 65Fxx PDFBibTeX XMLCite \textit{S.-P. Tang} and \textit{Y.-M. Huang}, J. Comput. Appl. Math. 438, Article ID 115513, 26 p. (2024; Zbl 07756734) Full Text: DOI
Aghdam, Yones Esmaeelzade; Mesgarani, Hamid; Asadi, Zeinab Estimate of the fractional advection-diffusion equation with a time-fractional term based on the shifted Legendre polynomials. (English) Zbl 07814833 J. Math. Model. 11, No. 4, 731-744 (2023). MSC: 65L60 65N12 35R11 PDFBibTeX XMLCite \textit{Y. E. Aghdam} et al., J. Math. Model. 11, No. 4, 731--744 (2023; Zbl 07814833) Full Text: DOI
Zhou, Ping; Jafari, Hossein; Ganji, Roghayeh M.; Narsale, Sonali M. Numerical study for a class of time fractional diffusion equations using operational matrices based on Hosoya polynomial. (English) Zbl 07804353 Electron. Res. Arch. 31, No. 8, 4530-4548 (2023). MSC: 65M12 65M15 65H10 26A33 35R11 05C12 05C31 33E12 35Q53 PDFBibTeX XMLCite \textit{P. Zhou} et al., Electron. Res. Arch. 31, No. 8, 4530--4548 (2023; Zbl 07804353) Full Text: DOI
Cao, Jiliang; Xiao, Aiguo; Bu, Weiping A fast Alikhanov algorithm with general nonuniform time steps for a two-dimensional distributed-order time-space fractional advection-dispersion equation. (English) Zbl 07777339 Numer. Methods Partial Differ. Equations 39, No. 4, 2885-2908 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Cao} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 2885--2908 (2023; Zbl 07777339) 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
Attia, Nourhane; Akgül, Ali; Seba, Djamila; Nour, Abdelkader On solutions of time-fractional advection-diffusion equation. (English) Zbl 07769127 Numer. Methods Partial Differ. Equations 39, No. 6, 4489-4516 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{N. Attia} et al., Numer. Methods Partial Differ. Equations 39, No. 6, 4489--4516 (2023; Zbl 07769127) Full Text: DOI
Gupta, Rupali; Kumar, Sushil Chebyshev spectral method for the variable-order fractional mobile-immobile advection-dispersion equation arising from solute transport in heterogeneous media. (English) Zbl 07761676 J. Eng. Math. 142, Paper No. 1, 28 p. (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{R. Gupta} and \textit{S. Kumar}, J. Eng. Math. 142, Paper No. 1, 28 p. (2023; Zbl 07761676) Full Text: DOI
Taneja, Komal; Deswal, Komal; Kumar, Devendra A robust higher-order numerical technique with graded and harmonic meshes for the time-fractional diffusion-advection-reaction equation. (English) Zbl 07736749 Math. Comput. Simul. 213, 348-373 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{K. Taneja} et al., Math. Comput. Simul. 213, 348--373 (2023; Zbl 07736749) Full Text: DOI
Jafari, Hossein; Ganji, Roghayeh Moallem; Narsale, Sonali Mandar; Kgarose, Maluti; Nguyen, Van Thinh Application of Hosoya polynomial to solve a class of time-fractional diffusion equations. (English) Zbl 1521.35187 Fractals 31, No. 4, Article ID 2340059, 12 p. (2023). MSC: 35R11 26A33 65M15 PDFBibTeX XMLCite \textit{H. Jafari} et al., Fractals 31, No. 4, Article ID 2340059, 12 p. (2023; Zbl 1521.35187) Full Text: DOI
Wang, Sen; Zhou, Xian-Feng; Pang, Denghao; Jiang, Wei Existence and uniqueness of weak solutions to a truncated system for a class of time-fractional reaction-diffusion-advection systems. (English) Zbl 1518.35652 Appl. Math. Lett. 144, Article ID 108720, 7 p. (2023). MSC: 35R11 35D30 35K51 35K57 PDFBibTeX XMLCite \textit{S. Wang} et al., Appl. Math. Lett. 144, Article ID 108720, 7 p. (2023; Zbl 1518.35652) Full Text: DOI
Ju, Yuejuan; Yang, Jiye; Liu, Zhiyong; Xu, Qiuyan Meshfree methods for the variable-order fractional advection-diffusion equation. (English) Zbl 07704418 Math. Comput. Simul. 211, 489-514 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Ju} et al., Math. Comput. Simul. 211, 489--514 (2023; Zbl 07704418) Full Text: DOI
Biswas, Chetna; Singh, Anup; Chopra, Manish; Das, Subir Study of fractional-order reaction-advection-diffusion equation using neural network method. (English) Zbl 07703395 Math. Comput. Simul. 208, 15-27 (2023). MSC: 65-XX 92-XX PDFBibTeX XMLCite \textit{C. Biswas} et al., Math. Comput. Simul. 208, 15--27 (2023; Zbl 07703395) Full Text: DOI
Londoño, Mauricio A.; Giraldo, Ramón; Rodríguez-Cortés, Francisco J. An RBF-FD method for the time-fractional advection-dispersion equation with nonlinear source term. (English) Zbl 1521.65101 Eng. Anal. Bound. Elem. 151, 565-574 (2023). MSC: 65M70 35R11 65D12 PDFBibTeX XMLCite \textit{M. A. Londoño} et al., Eng. Anal. Bound. Elem. 151, 565--574 (2023; Zbl 1521.65101) Full Text: DOI
Yamamoto, Masahiro Uniqueness for inverse problem of determining fractional orders for time-fractional advection-diffusion equations. (English) Zbl 1517.35268 Math. Control Relat. Fields 13, No. 2, 833-851 (2023). MSC: 35R30 35A02 35R11 PDFBibTeX XMLCite \textit{M. Yamamoto}, Math. Control Relat. Fields 13, No. 2, 833--851 (2023; Zbl 1517.35268) Full Text: DOI arXiv
Heydari, M. H.; Atangana, A. A numerical method for nonlinear fractional reaction-advection-diffusion equation with piecewise fractional derivative. (English) Zbl 1518.35630 Math. Sci., Springer 17, No. 2, 169-181 (2023). MSC: 35R11 35A35 35K57 65M12 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{A. Atangana}, Math. Sci., Springer 17, No. 2, 169--181 (2023; Zbl 1518.35630) Full Text: DOI
Xu, Yi; Sun, HongGuang; Zhang, Yuhui; Sun, Hai-Wei; Lin, Ji A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems. (English) Zbl 07691989 Comput. Math. Appl. 142, 107-120 (2023). MSC: 65-XX 35R11 65M70 26A33 65M06 65N35 PDFBibTeX XMLCite \textit{Y. Xu} et al., Comput. Math. Appl. 142, 107--120 (2023; Zbl 07691989) Full Text: DOI
She, Zi-Hang; Qiu, Li-Min Fast TTTS iteration methods for implicit Runge-Kutta temporal discretization of Riesz space fractional advection-diffusion equations. (English) Zbl 07691966 Comput. Math. Appl. 141, 42-53 (2023). MSC: 65F10 35R11 65M06 65F08 65F35 PDFBibTeX XMLCite \textit{Z.-H. She} and \textit{L.-M. Qiu}, Comput. Math. Appl. 141, 42--53 (2023; Zbl 07691966) Full Text: DOI
Salama, Fouad Mohammad; Balasim, Alla Tareq; Ali, Umair; Khan, Muhammad Asim Efficient numerical simulations based on an explicit group approach for the time fractional advection-diffusion reaction equation. (English) Zbl 1524.35714 Comput. Appl. Math. 42, No. 4, Paper No. 157, 30 p. (2023). MSC: 35R11 65N06 65N12 PDFBibTeX XMLCite \textit{F. M. Salama} et al., Comput. Appl. Math. 42, No. 4, Paper No. 157, 30 p. (2023; Zbl 1524.35714) Full Text: DOI
Sin, Chung-Sik Cauchy problem for fractional advection-diffusion-asymmetry equations. (English) Zbl 1512.35634 Result. Math. 78, No. 3, Paper No. 111, 30 p. (2023). MSC: 35R11 35A08 35B40 35K15 45K05 47D06 PDFBibTeX XMLCite \textit{C.-S. Sin}, Result. Math. 78, No. 3, Paper No. 111, 30 p. (2023; Zbl 1512.35634) Full Text: DOI
Zhao, Jingjun; Zhao, Wenjiao; Xu, Yang Hybridizable discontinuous Galerkin methods for space-time fractional advection-dispersion equations. (English) Zbl 1511.65107 Appl. Math. Comput. 442, Article ID 127745, 21 p. (2023). MSC: 65M60 35R11 65M12 65R20 PDFBibTeX XMLCite \textit{J. Zhao} et al., Appl. Math. Comput. 442, Article ID 127745, 21 p. (2023; Zbl 1511.65107) Full Text: DOI
Hang, Tongtong; Zhou, Zhongguo; Pan, Hao; Wang, Yan The conservative characteristic difference method and analysis for solving two-sided space-fractional advection-diffusion equations. (English) Zbl 07676500 Numer. Algorithms 92, No. 3, 1723-1755 (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{T. Hang} et al., Numer. Algorithms 92, No. 3, 1723--1755 (2023; Zbl 07676500) Full Text: DOI
Bahmani, Erfan; Shokri, Ali Numerical study of the variable-order time-fractional mobile/immobile advection-diffusion equation using direct meshless local Petrov-Galerkin methods. (English) Zbl 07667339 Comput. Math. Appl. 135, 111-123 (2023). MSC: 65-XX 35R11 65M06 65M60 65M12 26A33 PDFBibTeX XMLCite \textit{E. Bahmani} and \textit{A. Shokri}, Comput. Math. Appl. 135, 111--123 (2023; Zbl 07667339) Full Text: DOI
Rahioui, Mohamed; El Kinani, El Hassan; Ouhadan, Abdelaziz Lie symmetry analysis and conservation laws for the time fractional generalized advection-diffusion equation. (English) Zbl 1524.35710 Comput. Appl. Math. 42, No. 1, Paper No. 50, 18 p. (2023). MSC: 35R11 35B06 37K06 35-XX PDFBibTeX XMLCite \textit{M. Rahioui} et al., Comput. Appl. Math. 42, No. 1, Paper No. 50, 18 p. (2023; Zbl 1524.35710) Full Text: DOI
Marasi, H. R.; Derakhshan, M. H. Numerical simulation of time variable fractional order mobile-immobile advection-dispersion model based on an efficient hybrid numerical method with stability and convergence analysis. (English) Zbl 07628000 Math. Comput. Simul. 205, 368-389 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{H. R. Marasi} and \textit{M. H. Derakhshan}, Math. Comput. Simul. 205, 368--389 (2023; Zbl 07628000) Full Text: DOI
Qiao, Yan; Chen, Fangqi; An, Yukun Ground state solutions of a fractional advection-dispersion equation. (English) Zbl 1527.34021 Math. Methods Appl. Sci. 45, No. 9, 5267-5282 (2022). MSC: 34A08 34B24 34B37 PDFBibTeX XMLCite \textit{Y. Qiao} et al., Math. Methods Appl. Sci. 45, No. 9, 5267--5282 (2022; Zbl 1527.34021) Full Text: DOI
Wang, Fangyuan; Zhou, Zhaojie Spectral Galerkin method for state constrained optimal control of fractional advection-diffusion-reaction equations. (English) Zbl 07778306 Numer. Methods Partial Differ. Equations 38, No. 5, 1526-1542 (2022). MSC: 65N35 65N30 49M41 35B45 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{F. Wang} and \textit{Z. Zhou}, Numer. Methods Partial Differ. Equations 38, No. 5, 1526--1542 (2022; Zbl 07778306) Full Text: DOI
Singh, Harendra Jacobi collocation method for the fractional advection-dispersion equation arising in porous media. (English) Zbl 07777106 Numer. Methods Partial Differ. Equations 38, No. 3, 636-653 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Singh}, Numer. Methods Partial Differ. Equations 38, No. 3, 636--653 (2022; Zbl 07777106) Full Text: DOI
Kumar, Sachin; Ahmad, Bashir A new numerical study of space-time fractional advection-reaction-diffusion equation with Rabotnov fractional-exponential kernel. (English) Zbl 07777096 Numer. Methods Partial Differ. Equations 38, No. 3, 457-469 (2022). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{B. Ahmad}, Numer. Methods Partial Differ. Equations 38, No. 3, 457--469 (2022; Zbl 07777096) Full Text: DOI
Moghadam, Abolfazl Soltanpour; Arabameri, Maryam; Barfeie, Mahdiar Numerical solution of space-time variable fractional order advection-dispersion equation using radial basis functions. (English) Zbl 07694650 J. Math. Model. 10, No. 3, 549-562 (2022). MSC: 65M70 26A33 65M06 PDFBibTeX XMLCite \textit{A. S. Moghadam} et al., J. Math. Model. 10, No. 3, 549--562 (2022; Zbl 07694650) Full Text: DOI
Arfaoui, Hassen; Ben Makhlouf, Abdellatif Stability of a fractional advection-diffusion system with conformable derivative. (English) Zbl 1508.35200 Chaos Solitons Fractals 164, Article ID 112649, 6 p. (2022). MSC: 35R11 26A33 35B35 PDFBibTeX XMLCite \textit{H. Arfaoui} and \textit{A. Ben Makhlouf}, Chaos Solitons Fractals 164, Article ID 112649, 6 p. (2022; Zbl 1508.35200) Full Text: DOI
Qu, Hai-Dong; Liu, Xuan; Lu, Xin; ur Rahman, Mati; She, Zi-Hang Neural network method for solving nonlinear fractional advection-diffusion equation with spatiotemporal variable-order. (English) Zbl 1506.35272 Chaos Solitons Fractals 156, Article ID 111856, 11 p. (2022). MSC: 35R11 26A33 65M06 65M12 65M70 PDFBibTeX XMLCite \textit{H.-D. Qu} et al., Chaos Solitons Fractals 156, Article ID 111856, 11 p. (2022; Zbl 1506.35272) Full Text: DOI
Marasi, Hamidreza; Derakhshan, Mohammadhossein A composite collocation method based on the fractional Chelyshkov wavelets for distributed-order fractional mobile-immobile advection-dispersion equation. (English) Zbl 07623343 Math. Model. Anal. 27, No. 4, 590-609 (2022). MSC: 65Mxx 26A33 34A08 65M06 65N12 35R11 PDFBibTeX XMLCite \textit{H. Marasi} and \textit{M. Derakhshan}, Math. Model. Anal. 27, No. 4, 590--609 (2022; Zbl 07623343) Full Text: DOI
Arfaoui, Hassen; Ben Makhlouf, Abdellatif Stability of a time fractional advection-diffusion system. (English) Zbl 1498.34016 Chaos Solitons Fractals 157, Article ID 111949, 8 p. (2022). MSC: 34A08 26A33 PDFBibTeX XMLCite \textit{H. Arfaoui} and \textit{A. Ben Makhlouf}, Chaos Solitons Fractals 157, Article ID 111949, 8 p. (2022; Zbl 1498.34016) Full Text: DOI
Eslami, Samira; Ilati, Mohammad; Dehghan, Mehdi A local meshless method for solving multi-dimensional Galilei invariant fractional advection-diffusion equation. (English) Zbl 1521.65113 Eng. Anal. Bound. Elem. 143, 283-292 (2022). MSC: 65M99 41A30 PDFBibTeX XMLCite \textit{S. Eslami} et al., Eng. Anal. Bound. Elem. 143, 283--292 (2022; Zbl 1521.65113) Full Text: DOI
Saeed, Ihsan Lateef; Javidi, Mohammad; Heris, Mahdi Saedshoar On numerical methods for solving Riesz space fractional advection-dispersion equations based on spline interpolants. (English) Zbl 1513.65444 Comput. Appl. Math. 41, No. 7, Paper No. 314, 31 p. (2022). MSC: 65N06 35R11 65L20 65N22 65R20 PDFBibTeX XMLCite \textit{I. L. Saeed} et al., Comput. Appl. Math. 41, No. 7, Paper No. 314, 31 p. (2022; Zbl 1513.65444) Full Text: DOI
Mohammadi, S.; Ghasemi, M.; Fardi, M. A fast Fourier spectral exponential time-differencing method for solving the time-fractional mobile-immobile advection-dispersion equation. (English) Zbl 1524.65671 Comput. Appl. Math. 41, No. 6, Paper No. 264, 26 p. (2022). MSC: 65M70 35R11 65L06 65T50 65M12 PDFBibTeX XMLCite \textit{S. Mohammadi} et al., Comput. Appl. Math. 41, No. 6, Paper No. 264, 26 p. (2022; Zbl 1524.65671) Full Text: DOI
Zhang, Yun; Wei, Ting; Yan, Xiongbin Recovery of advection coefficient and fractional order in a time-fractional reaction-advection-diffusion-wave equation. (English) Zbl 1490.35545 J. Comput. Appl. Math. 411, Article ID 114254, 20 p. (2022). MSC: 35R30 35K20 35K57 35L20 35R11 65M32 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Comput. Appl. Math. 411, Article ID 114254, 20 p. (2022; Zbl 1490.35545) Full Text: DOI
Mockary, Siavash; Vahidi, Alireza; Babolian, Esmail An efficient approximate solution of Riesz fractional advection-diffusion equation. (English) Zbl 1490.65224 Comput. Methods Differ. Equ. 10, No. 2, 307-319 (2022). MSC: 65M70 35K57 35R11 PDFBibTeX XMLCite \textit{S. Mockary} et al., Comput. Methods Differ. Equ. 10, No. 2, 307--319 (2022; Zbl 1490.65224) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A class of moving kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation. (English) Zbl 07512665 Numer. Algorithms 90, No. 1, 271-299 (2022). MSC: 65M99 35R11 65M06 65M70 65M12 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Numer. Algorithms 90, No. 1, 271--299 (2022; Zbl 07512665) Full Text: DOI
Chou, Lot-Kei; Lei, Siu-Long High dimensional Riesz space distributed-order advection-dispersion equations with ADI scheme in compression format. (English) Zbl 07510644 Electron. Res. Arch. 30, No. 4, 1463-1476 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{L.-K. Chou} and \textit{S.-L. Lei}, Electron. Res. Arch. 30, No. 4, 1463--1476 (2022; Zbl 07510644) Full Text: DOI
Liu, Can; Yu, Zhe; Zhang, Xinming; Wu, Boying An implicit wavelet collocation method for variable coefficients space fractional advection-diffusion equations. (English) Zbl 1484.65264 Appl. Numer. Math. 177, 93-110 (2022). MSC: 65M70 65T60 35R11 65M12 PDFBibTeX XMLCite \textit{C. Liu} et al., Appl. Numer. Math. 177, 93--110 (2022; Zbl 1484.65264) Full Text: DOI
Li, Yulong Integral representation bound of the true solution to the BVP of double-sided fractional diffusion advection reaction equation. (English) Zbl 07501047 Rend. Circ. Mat. Palermo (2) 71, No. 1, 407-428 (2022). MSC: 34A08 34B15 47N20 PDFBibTeX XMLCite \textit{Y. Li}, Rend. Circ. Mat. Palermo (2) 71, No. 1, 407--428 (2022; Zbl 07501047) Full Text: DOI
Yang, Fan; Wu, Hang-Hang; Li, Xiao-Xiao Three regularization methods for identifying the initial value of time fractional advection-dispersion equation. (English) Zbl 1499.35707 Comput. Appl. Math. 41, No. 1, Paper No. 60, 38 p. (2022). MSC: 35R25 47A52 35R30 PDFBibTeX XMLCite \textit{F. Yang} et al., Comput. Appl. Math. 41, No. 1, Paper No. 60, 38 p. (2022; Zbl 1499.35707) Full Text: DOI
Li, Shengyue; Cao, Wanrong; Wang, Yibo On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation. (English) Zbl 1524.65893 Comput. Math. Appl. 107, 104-116 (2022). MSC: 65N35 65N30 35R11 49M25 41A10 26A33 65N12 65N15 35B65 PDFBibTeX XMLCite \textit{S. Li} et al., Comput. Math. Appl. 107, 104--116 (2022; Zbl 1524.65893) Full Text: DOI arXiv
Chen, Jing; Wang, Feng; Chen, Huanzhen Probability-conservative simulation for Lévy financial model by a mixed finite element method. (English) Zbl 07469189 Comput. Math. Appl. 106, 92-105 (2022). MSC: 65Mxx 26A33 65N30 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{J. Chen} et al., Comput. Math. Appl. 106, 92--105 (2022; Zbl 07469189) Full Text: DOI
Li, Can; Wang, Haihong; Yue, Hongyun; Guo, Shimin Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions. (English) Zbl 1486.65113 Appl. Numer. Math. 173, 395-417 (2022). MSC: 65M06 65M12 65M15 44A10 35K57 26A33 35R11 PDFBibTeX XMLCite \textit{C. Li} et al., Appl. Numer. Math. 173, 395--417 (2022; Zbl 1486.65113) Full Text: DOI
Jannelli, Alessandra Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations. (English) Zbl 07443082 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106073, 14 p. (2022). MSC: 65Mxx 34Axx 65Lxx PDFBibTeX XMLCite \textit{A. Jannelli}, Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106073, 14 p. (2022; Zbl 07443082) Full Text: DOI
Saffarian, Marziyeh; Mohebbi, Akbar Finite difference/spectral element method for one and two-dimensional Riesz space fractional advection-dispersion equations. (English) Zbl 07442880 Math. Comput. Simul. 193, 348-370 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, Math. Comput. Simul. 193, 348--370 (2022; Zbl 07442880) Full Text: DOI
He, Siming Enhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipation. (English) Zbl 1508.76103 J. Funct. Anal. 282, No. 3, Article ID 109319, 28 p. (2022). MSC: 76R99 35Q35 26A33 PDFBibTeX XMLCite \textit{S. He}, J. Funct. Anal. 282, No. 3, Article ID 109319, 28 p. (2022; Zbl 1508.76103) Full Text: DOI arXiv
Liu, Ziting; Wang, Qi A non-standard finite difference method for space fractional advection-diffusion equation. (English) Zbl 07776084 Numer. Methods Partial Differ. Equations 37, No. 3, 2527-2539 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Z. Liu} and \textit{Q. Wang}, Numer. Methods Partial Differ. Equations 37, No. 3, 2527--2539 (2021; Zbl 07776084) Full Text: DOI
Adivi Sri Venkata, Ravi Kanth; Garg, Neetu An unconditionally stable algorithm for multiterm time fractional advection-diffusion equation with variable coefficients and convergence analysis. (English) Zbl 07776052 Numer. Methods Partial Differ. Equations 37, No. 3, 1928-1945 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{R. K. Adivi Sri Venkata} and \textit{N. Garg}, Numer. Methods Partial Differ. Equations 37, No. 3, 1928--1945 (2021; Zbl 07776052) Full Text: DOI
Singh, Manpal; Das, S.; Rajeev; Craciun, E-M. Numerical solution of two-dimensional nonlinear fractional order reaction-advection-diffusion equation by using collocation method. (English) Zbl 07660052 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 29, No. 2, 211-230 (2021). MSC: 65M60 35R11 26A33 PDFBibTeX XMLCite \textit{M. Singh} et al., An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 29, No. 2, 211--230 (2021; Zbl 07660052) Full Text: DOI
Sene, Ndolane Fractional advection-dispersion equation described by the Caputo left generalized fractional derivative. (English) Zbl 1490.35525 Palest. J. Math. 10, No. 2, 562-579 (2021). MSC: 35R11 35A22 35K57 76R50 PDFBibTeX XMLCite \textit{N. Sene}, Palest. J. Math. 10, No. 2, 562--579 (2021; Zbl 1490.35525) Full Text: Link
Sweilam, Nasser Hassan; El-Sayed, Adel Abd Elaziz; Boulaaras, Salah Fractional-order advection-dispersion problem solution via the spectral collocation method and the non-standard finite difference technique. (English) Zbl 1498.65175 Chaos Solitons Fractals 144, Article ID 110736, 10 p. (2021). MSC: 65M70 33C47 42A10 35R11 65M12 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Chaos Solitons Fractals 144, Article ID 110736, 10 p. (2021; Zbl 1498.65175) Full Text: DOI
Shojaeizadeh, T.; Mahmoudi, M.; Darehmiraki, M. Optimal control problem of advection-diffusion-reaction equation of kind fractal-fractional applying shifted Jacobi polynomials. (English) Zbl 1498.49052 Chaos Solitons Fractals 143, Article ID 110568, 14 p. (2021). MSC: 49M41 26A33 35F16 PDFBibTeX XMLCite \textit{T. Shojaeizadeh} et al., Chaos Solitons Fractals 143, Article ID 110568, 14 p. (2021; Zbl 1498.49052) Full Text: DOI
Soori, Z.; Aminataei, A. Two new approximations to Caputo-Fabrizio fractional equation on non-uniform meshes and its applications. (English) Zbl 1522.65155 Iran. J. Numer. Anal. Optim. 11, No. 2, 365-383 (2021). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{Z. Soori} and \textit{A. Aminataei}, Iran. J. Numer. Anal. Optim. 11, No. 2, 365--383 (2021; Zbl 1522.65155) Full Text: DOI
Allwright, Amy; Atangana, Abdon; Mekkaoui, Toufik Fractional and fractal advection-dispersion model. (English) Zbl 1484.35372 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2055-2074 (2021). MSC: 35R11 28A80 35Q35 PDFBibTeX XMLCite \textit{A. Allwright} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2055--2074 (2021; Zbl 1484.35372) Full Text: DOI
Zhao, Yong-Liang; Gu, Xian-Ming; Li, Meng; Jian, Huan-Yan Preconditioners for all-at-once system from the fractional mobile/immobile advection-diffusion model. (English) Zbl 1475.65049 J. Appl. Math. Comput. 65, No. 1-2, 669-691 (2021). MSC: 65L05 65N22 65F10 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., J. Appl. Math. Comput. 65, No. 1--2, 669--691 (2021; Zbl 1475.65049) Full Text: DOI
Guan, Wenhui; Cao, Xuenian A numerical algorithm for the Caputo tempered fractional advection-diffusion equation. (English) Zbl 1476.34166 Commun. Appl. Math. Comput. 3, No. 1, 41-59 (2021). MSC: 34K40 65C30 93E15 PDFBibTeX XMLCite \textit{W. Guan} and \textit{X. Cao}, Commun. Appl. Math. Comput. 3, No. 1, 41--59 (2021; Zbl 1476.34166) Full Text: DOI
Kundu, Snehasis; Ghoshal, Koeli Effects of non-locality on unsteady nonequilibrium sediment transport in turbulent flows: a study using space fractional ADE with fractional divergence. (English) Zbl 1481.76126 Appl. Math. Modelling 96, 617-644 (2021). MSC: 76F99 35Q35 76T20 PDFBibTeX XMLCite \textit{S. Kundu} and \textit{K. Ghoshal}, Appl. Math. Modelling 96, 617--644 (2021; Zbl 1481.76126) Full Text: DOI
Chen, Juan; Tepljakov, Aleksei; Petlenkov, Eduard; Chen, YangQuan; Zhuang, Bo Boundary Mittag-Leffler stabilization of coupled time fractional order reaction-advection-diffusion systems with non-constant coefficients. (English) Zbl 1478.93499 Syst. Control Lett. 149, Article ID 104875, 10 p. (2021). MSC: 93D15 93C20 35K57 35R11 PDFBibTeX XMLCite \textit{J. Chen} et al., Syst. Control Lett. 149, Article ID 104875, 10 p. (2021; Zbl 1478.93499) Full Text: DOI
Pham Hoang, Quan Recovering the aqueous concentration in a multi-layer porous media. (English) Zbl 07411546 Comput. Math. Appl. 100, 83-98 (2021). MSC: 65M32 26A33 35R25 35R11 35R30 PDFBibTeX XMLCite \textit{Q. Pham Hoang}, Comput. Math. Appl. 100, 83--98 (2021; Zbl 07411546) Full Text: DOI
Kumar, Sachin; Zeidan, Dia An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation. (English) Zbl 07398301 Appl. Numer. Math. 170, 190-207 (2021). MSC: 65M70 33E12 42C10 26A33 35R11 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{D. Zeidan}, Appl. Numer. Math. 170, 190--207 (2021; Zbl 07398301) Full Text: DOI
Sadeghi, S.; Jafari, H.; Nemati, S. Solving fractional advection-diffusion equation using Genocchi operational matrix based on Atangana-Baleanu derivative. (English) Zbl 1473.35635 Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3747-3761 (2021). MSC: 35R11 35A35 35K15 PDFBibTeX XMLCite \textit{S. Sadeghi} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3747--3761 (2021; Zbl 1473.35635) Full Text: DOI
Agarwal, Ritu; Kritika; Purohit, Sunil Dutt; Kumar, Devendra Mathematical modelling of cytosolic calcium concentration distribution using non-local fractional operator. (English) Zbl 1473.35586 Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3387-3399 (2021). MSC: 35Q92 92C37 PDFBibTeX XMLCite \textit{R. Agarwal} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3387--3399 (2021; Zbl 1473.35586) Full Text: DOI
Wang, Zhaoyang; Sun, HongGuang Generalized finite difference method with irregular mesh for a class of three-dimensional variable-order time-fractional advection-diffusion equations. (English) Zbl 1521.65077 Eng. Anal. Bound. Elem. 132, 345-355 (2021). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{H. Sun}, Eng. Anal. Bound. Elem. 132, 345--355 (2021; Zbl 1521.65077) Full Text: DOI
Zureigat, Hamzeh; Ismail, Ahmad Izani; Sathasivam, Saratha Numerical solutions of fuzzy time fractional advection-diffusion equations in double parametric form of fuzzy number. (English) Zbl 1473.65133 Math. Methods Appl. Sci. 44, No. 10, 7956-7968 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 65M22 35K15 26A33 35R11 35R13 PDFBibTeX XMLCite \textit{H. Zureigat} et al., Math. Methods Appl. Sci. 44, No. 10, 7956--7968 (2021; Zbl 1473.65133) Full Text: DOI
Saffarian, Marziyeh; Mohebbi, Akbar An efficient numerical method for the solution of 2D variable order time fractional mobile-immobile advection-dispersion model. (English) Zbl 1473.65243 Math. Methods Appl. Sci. 44, No. 7, 5908-5929 (2021). MSC: 65M70 65M15 PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, Math. Methods Appl. Sci. 44, No. 7, 5908--5929 (2021; Zbl 1473.65243) 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
Yue, Xiaoqiang; Liu, Menghuan; Shu, Shi; Bu, Weiping; Xu, Yehong Space-time finite element adaptive AMG for multi-term time fractional advection diffusion equations. (English) Zbl 1486.65184 Math. Methods Appl. Sci. 44, No. 4, 2769-2789 (2021). MSC: 65M60 65N55 65M22 65F10 65F35 26A33 35R11 PDFBibTeX XMLCite \textit{X. Yue} et al., Math. Methods Appl. Sci. 44, No. 4, 2769--2789 (2021; Zbl 1486.65184) Full Text: DOI arXiv
Abbaszadeh, Mostafa; Dehghan, Mehdi The Crank-Nicolson/interpolating stabilized element-free Galerkin method to investigate the fractional Galilei invariant advection-diffusion equation. (English) Zbl 1486.65156 Math. Methods Appl. Sci. 44, No. 4, 2752-2768 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Math. Methods Appl. Sci. 44, No. 4, 2752--2768 (2021; Zbl 1486.65156) Full Text: DOI
Singh, Anup; Diwedi, Kushal Dhar; Das, Subir; Ong, Seng-Huat Study of one-dimensional space-time fractional-order Burgers-Fisher and Burgers-Huxley fluid models. (English) Zbl 1470.35413 Math. Methods Appl. Sci. 44, No. 3, 2455-2467 (2021). MSC: 35R11 35F31 35Q35 PDFBibTeX XMLCite \textit{A. Singh} et al., Math. Methods Appl. Sci. 44, No. 3, 2455--2467 (2021; Zbl 1470.35413) Full Text: DOI
Vieru, Dumitru; Fetecau, Constantin; Ahmed, Najma; Shah, Nehad Ali A generalized kinetic model of the advection-dispersion process in a sorbing medium. (English) Zbl 1467.92257 Math. Model. Nat. Phenom. 16, Paper No. 39, 28 p. (2021). MSC: 92F05 26A33 34K37 PDFBibTeX XMLCite \textit{D. Vieru} et al., Math. Model. Nat. Phenom. 16, Paper No. 39, 28 p. (2021; Zbl 1467.92257) Full Text: DOI
Ascione, Giacomo; Leonenko, Nikolai; Pirozzi, Enrica Time-non-local Pearson diffusions. (English) Zbl 1467.35332 J. Stat. Phys. 183, No. 3, Paper No. 48, 42 p. (2021). MSC: 35R11 60K15 60J60 PDFBibTeX XMLCite \textit{G. Ascione} et al., J. Stat. Phys. 183, No. 3, Paper No. 48, 42 p. (2021; Zbl 1467.35332) Full Text: DOI arXiv
Lin, Fu-Rong; She, Zi-Hang Stability and convergence of 3-point WSGD schemes for two-sided space fractional advection-diffusion equations with variable coefficients. (English) Zbl 1481.65144 Appl. Numer. Math. 167, 281-307 (2021). MSC: 65M06 65M12 65B05 26A33 35R11 PDFBibTeX XMLCite \textit{F.-R. Lin} and \textit{Z.-H. She}, Appl. Numer. Math. 167, 281--307 (2021; Zbl 1481.65144) Full Text: DOI
Chen, Mingji; Luan, Shengzhi; Lian, Yanping Fractional SUPG finite element formulation for multi-dimensional fractional advection diffusion equations. (English) Zbl 07360520 Comput. Mech. 67, No. 2, 601-617 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{M. Chen} et al., Comput. Mech. 67, No. 2, 601--617 (2021; Zbl 07360520) Full Text: DOI
Mesgarani, H.; Rashidinia, J.; Aghdam, Y. Esmaeelzade; Nikan, O. Numerical treatment of the space fractional advection-dispersion model arising in groundwater hydrology. (English) Zbl 1461.65248 Comput. Appl. Math. 40, No. 1, Paper No. 22, 17 p. (2021). MSC: 65M70 65M12 35Q92 86A05 91G20 PDFBibTeX XMLCite \textit{H. Mesgarani} et al., Comput. Appl. Math. 40, No. 1, Paper No. 22, 17 p. (2021; Zbl 1461.65248) Full Text: DOI
Devi, Anju; Jakhar, Manjeet Analysis of concentration of \(\mathrm{Ca^{2+}} \) arising in astrocytes cell. (English) Zbl 1468.35212 Int. J. Appl. Comput. Math. 7, No. 1, Paper No. 11, 9 p. (2021). MSC: 35Q92 26A33 33E50 44A15 49K20 92C20 92C40 35R11 PDFBibTeX XMLCite \textit{A. Devi} and \textit{M. Jakhar}, Int. J. Appl. Comput. Math. 7, No. 1, Paper No. 11, 9 p. (2021; Zbl 1468.35212) Full Text: DOI
Du, Hong; Chen, Zhong; Yang, Tiejun A meshless method in reproducing kernel space for solving variable-order time fractional advection-diffusion equations on arbitrary domain. (English) Zbl 1468.65172 Appl. Math. Lett. 116, Article ID 107014, 7 p. (2021). MSC: 65M99 35K10 35R11 PDFBibTeX XMLCite \textit{H. Du} et al., Appl. Math. Lett. 116, Article ID 107014, 7 p. (2021; Zbl 1468.65172) Full Text: DOI
Zhang, Hui; Jiang, Xiaoyun; Liu, Fawang Error analysis of nonlinear time fractional mobile/immobile advection-diffusion equation with weakly singular solutions. (English) Zbl 1488.65314 Fract. Calc. Appl. Anal. 24, No. 1, 202-224 (2021). MSC: 65M06 26A33 65M12 65M15 65M70 35R11 PDFBibTeX XMLCite \textit{H. Zhang} et al., Fract. Calc. Appl. Anal. 24, No. 1, 202--224 (2021; Zbl 1488.65314) Full Text: DOI
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M. A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation. (English) Zbl 1464.65144 Eng. Anal. Bound. Elem. 127, 18-28 (2021). MSC: 65M70 65D12 PDFBibTeX XMLCite \textit{M. Hosseininia} et al., Eng. Anal. Bound. Elem. 127, 18--28 (2021; Zbl 1464.65144) Full Text: DOI
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z. A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation. (English) Zbl 1464.65121 Eng. Anal. Bound. Elem. 127, 8-17 (2021). MSC: 65M60 35R11 PDFBibTeX XMLCite \textit{M. Hosseininia} et al., Eng. Anal. Bound. Elem. 127, 8--17 (2021; Zbl 1464.65121) Full Text: DOI
Heydari, M. H.; Avazzadeh, Z.; Atangana, A. Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. (English) Zbl 1461.65246 Appl. Numer. Math. 161, 425-436 (2021). MSC: 65M70 35R11 42C10 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Appl. Numer. Math. 161, 425--436 (2021; Zbl 1461.65246) 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
Zheng, Xiangcheng; Liu, Huan; Wang, Hong; Fu, Hongfei Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions. (English) Zbl 1462.65208 Appl. Numer. Math. 161, 1-12 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65M06 35R11 PDFBibTeX XMLCite \textit{X. Zheng} et al., Appl. Numer. Math. 161, 1--12 (2021; Zbl 1462.65208) Full Text: DOI
Wang, Fangyuan; Zhang, Zhongqiang; Zhou, Zhaojie A spectral Galerkin approximation of optimal control problem governed by fractional advection-diffusion-reaction equations. (English) Zbl 1456.49026 J. Comput. Appl. Math. 386, Article ID 113233, 17 p. (2021). MSC: 49M41 49M25 49K20 49N60 65K10 35R11 35K57 PDFBibTeX XMLCite \textit{F. Wang} et al., J. Comput. Appl. Math. 386, Article ID 113233, 17 p. (2021; Zbl 1456.49026) Full Text: DOI
Hussain, Manzoor; Haq, Sirajul A hybrid radial basis functions collocation technique to numerically solve fractional advection-diffusion models. (English) Zbl 07777647 Numer. Methods Partial Differ. Equations 36, No. 6, 1254-1279 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Hussain} and \textit{S. Haq}, Numer. Methods Partial Differ. Equations 36, No. 6, 1254--1279 (2020; Zbl 07777647) Full Text: DOI
Lobato, F. S.; Lima, W. J.; Borges, R. A.; Cavalini, A. Ap. jun.; Steffen, V. jun. The solution of direct and inverse fractional advection-dispersion problems by using orthogonal collocation and differential evolution. (English) Zbl 07558594 Soft Comput. 24, No. 14, 10389-10399 (2020). MSC: 65-XX 35R11 PDFBibTeX XMLCite \textit{F. S. Lobato} et al., Soft Comput. 24, No. 14, 10389--10399 (2020; Zbl 07558594) Full Text: DOI
Agarwal, P.; El-Sayed, A. A. Vieta-Lucas polynomials for solving a fractional-order mathematical physics model. (English) Zbl 1487.65161 Adv. Difference Equ. 2020, Paper No. 626, 17 p. (2020). MSC: 65M70 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{P. Agarwal} and \textit{A. A. El-Sayed}, Adv. Difference Equ. 2020, Paper No. 626, 17 p. (2020; Zbl 1487.65161) Full Text: DOI
Sweilam, N. H.; El-Sakout, D. M.; Muttardi, M. M. Numerical study for time fractional stochastic semi linear advection diffusion equations. (English) Zbl 1496.35468 Chaos Solitons Fractals 141, Article ID 110346, 15 p. (2020). MSC: 35R60 33E12 35R11 47D03 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Chaos Solitons Fractals 141, Article ID 110346, 15 p. (2020; Zbl 1496.35468) Full Text: DOI
Azin, H.; Mohammadi, F.; Heydari, M. H. A hybrid method for solving time fractional advection-diffusion equation on unbounded space domain. (English) Zbl 1486.65186 Adv. Difference Equ. 2020, Paper No. 596, 9 p. (2020). MSC: 65M70 65M12 65M06 35R11 35K57 PDFBibTeX XMLCite \textit{H. Azin} et al., Adv. Difference Equ. 2020, Paper No. 596, 9 p. (2020; Zbl 1486.65186) Full Text: DOI
Tajadodi, H. A numerical approach of fractional advection-diffusion equation with Atangana-Baleanu derivative. (English) Zbl 1489.65125 Chaos Solitons Fractals 130, Article ID 109527, 8 p. (2020). MSC: 65M06 65M70 26A33 35K57 PDFBibTeX XMLCite \textit{H. Tajadodi}, Chaos Solitons Fractals 130, Article ID 109527, 8 p. (2020; Zbl 1489.65125) Full Text: DOI
Sweilam, N. H.; El-Sakout, D. M.; Muttardi, M. M. Compact finite difference method to numerically solving a stochastic fractional advection-diffusion equation. (English) Zbl 1482.65012 Adv. Difference Equ. 2020, Paper No. 189, 20 p. (2020). MSC: 65C30 60H15 26A33 65M06 65M12 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Adv. Difference Equ. 2020, Paper No. 189, 20 p. (2020; Zbl 1482.65012) Full Text: DOI
Heydari, M. H.; Avazzadeh, Z.; Yang, Y. Numerical treatment of the space-time fractal-fractional model of nonlinear advection-diffusion-reaction equation through the Bernstein polynomials. (English) Zbl 07468583 Fractals 28, No. 8, Article ID 2040001, 14 p. (2020). MSC: 65Mxx 74-XX PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Fractals 28, No. 8, Article ID 2040001, 14 p. (2020; Zbl 07468583) Full Text: DOI
Abbaszadeh, Mostafa; Amjadian, Hanieh Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation. (English) Zbl 1476.65152 Commun. Appl. Math. Comput. 2, No. 4, 653-669 (2020). MSC: 65L60 65L20 65M70 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{H. Amjadian}, Commun. Appl. Math. Comput. 2, No. 4, 653--669 (2020; Zbl 1476.65152) Full Text: DOI
Chugunov, Vladimir; Fomin, Sergei Effect of adsorption, radioactive decay and fractal structure of matrix on solute transport in fracture. (English) Zbl 1462.76179 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2172, Article ID 20190283, 29 p. (2020). MSC: 76S05 82C70 PDFBibTeX XMLCite \textit{V. Chugunov} and \textit{S. Fomin}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2172, Article ID 20190283, 29 p. (2020; Zbl 1462.76179) Full Text: DOI
Mesgarani, H.; Rashidnina, J.; Aghdam, Y. Esmaeelzade; Nikan, O. The impact of Chebyshev collocation method on solutions of fractional advection-diffusion equation. (English) Zbl 1472.65101 Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 149, 12 p. (2020). MSC: 65M06 65N35 65M12 65M15 41A50 35R11 PDFBibTeX XMLCite \textit{H. Mesgarani} et al., Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 149, 12 p. (2020; Zbl 1472.65101) Full Text: DOI
Shi, Binbin; Wang, Weike Suppression of blow up by mixing in generalized Keller-Segel system with fractional dissipation. (English) Zbl 1464.35402 Commun. Math. Sci. 18, No. 5, 1413-1440 (2020). MSC: 35R11 35B44 35B45 35K51 92C17 PDFBibTeX XMLCite \textit{B. Shi} and \textit{W. Wang}, Commun. Math. Sci. 18, No. 5, 1413--1440 (2020; Zbl 1464.35402) Full Text: DOI arXiv