| A new difference scheme for the time fractional diffusion equation AA Alikhanov Journal of Computational Physics 280, 424-438, 2015 | 754 | 2015 |
| A priori estimates for solutions of boundary value problems for fractional-order equations AA Alikhanov Differential equations 46 (5), 660-666, 2010 | 317 | 2010 |
| Boundary value problems for the diffusion equation of the variable order in differential and difference settings AA Alikhanov Applied Mathematics and Computation 219 (8), 3938-3946, 2012 | 136 | 2012 |
| The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations G Gao, AA Alikhanov, Z Sun Journal of Scientific Computing 73, 93-121, 2017 | 111 | 2017 |
| Fast iterative method with a second-order implicit difference scheme for time-space fractional convection–diffusion equation XM Gu, TZ Huang, CC Ji, B Carpentieri, AA Alikhanov Journal of Scientific Computing 72, 957-985, 2017 | 110 | 2017 |
| Boundary value problems for certain classes of loaded differential equations and solving them by finite difference methods AA Alikhanov, AM Berezgov, MX Shkhanukov-Lafishev Computational Mathematics and Mathematical Physics 48, 1581-1590, 2008 | 105* | 2008 |
| Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation AA Alikhanov Applied Mathematics and Computation 268, 12-22, 2015 | 103 | 2015 |
| Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations R Du, AA Alikhanov, ZZ Sun Computers & Mathematics with Applications 79 (10), 2952-2972, 2020 | 48 | 2020 |
| A high-order L2 type difference scheme for the time-fractional diffusion equation AA Alikhanov, C Huang Applied Mathematics and Computation 411, 126545, 2021 | 34 | 2021 |
| Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong? MA Zaky, AS Hendy, AA Alikhanov, VG Pimenov Communications in Nonlinear Science and Numerical Simulation 96, 105672, 2021 | 32 | 2021 |
| A time-fractional diffusion equation with generalized memory kernel in differential and difference settings with smooth solutions AA Alikhanov Computational methods in applied mathematics 17 (4), 647-660, 2017 | 26 | 2017 |
| Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation AA Alikhanov Computational Mathematics and Mathematical Physics 56, 561-575, 2016 | 22 | 2016 |
| The Crank-Nicolson type compact difference schemes for a loaded time-fractional Hallaire equation A Alikhanov, M Beshtokov, M Mehra Fractional Calculus and Applied Analysis 24 (4), 1231-1256, 2021 | 20 | 2021 |
| On the stability and convergence of nonlocal difference schemes AA Alikhanov Differential Equations 46, 949-961, 2010 | 20 | 2010 |
| Nonlocal boundary value problems in differential and difference settings AA Alikhanov Differential Equations 44, 952-959, 2008 | 16 | 2008 |
| Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem for time-fractional diffusion equation AA Alikhanov arXiv preprint arXiv:1312.4864, 2013 | 15 | 2013 |
| A difference method for solving the Steklov nonlocal boundary value problem of second kind for the time-fractional diffusion equation AA Alikhanov Computational Methods in Applied Mathematics 17 (1), 1-16, 2017 | 14 | 2017 |
| Разностные методы решения краевых задач для волнового уравнения с дробной производной по времени АА Алиханов Вестник Самарского государственного технического университета. Серия Физико …, 2008 | 14 | 2008 |
| Stable numerical schemes for time-fractional diffusion equation with generalized memory kernel N Kedia, AA Alikhanov, VK Singh Applied Numerical Mathematics 172, 546-565, 2022 | 12 | 2022 |
| A multi-domain spectral collocation method for Volterra integral equations with a weakly singular kernel Z Ma, AA Alikhanov, C Huang, G Zhang Applied Numerical Mathematics 167, 218-236, 2021 | 11 | 2021 |
