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ORCIDAnatoly A. Alikhanov
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2020 – today
- 2025
[j18]Anatoly A. Alikhanov, Huiran Bai, Jian Huang, Aleksei Tyrylgin
, Yin Yang:
Multiscale model reduction for the time fractional thermoporoelasticity problem in fractured and heterogeneous media. J. Comput. Appl. Math. 455: 116157 (2025)- 2024
- [j17]Aslanbek Khibiev, Anatoly A. Alikhanov, Chengming Huang:
A Second-Order Difference Scheme for Generalized Time-Fractional Diffusion Equation with Smooth Solutions. Comput. Methods Appl. Math. 24(1): 101-118 (2024) - [j16]Anatoly A. Alikhanov, Mohammad Shahbazi Asl, Chengming Huang, Aslanbek Khibiev:
A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay. J. Comput. Appl. Math. 438: 115515 (2024) - [j15]Nikki Kedia, Anatoly A. Alikhanov, Vineet Kumar Singh:
Robust finite difference scheme for the non-linear generalized time-fractional diffusion equation with non-smooth solution. Math. Comput. Simul. 219: 337-354 (2024) - [i8]Abhishek Kumar Singh, Mani Mehra, Anatoly A. Alikhanov:
Modified least squares method and a review of its applications in machine learning and fractional differential/integral equations. CoRR abs/2405.00382 (2024) - 2023
- [j14]Aleksei Tyrylgin, Maria V. Vasilyeva, Anatoly A. Alikhanov, Dongwoo Sheen:
A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media. J. Comput. Appl. Math. 418: 114670 (2023) - [j13]Guoyu Zhang, Chengming Huang, Anatoly A. Alikhanov, Baoli Yin:
A High-Order Discrete Energy Decay and Maximum-Principle Preserving Scheme for Time Fractional Allen-Cahn Equation. J. Sci. Comput. 96(2): 39 (2023) - [i7]Guoyu Zhang, Chengming Huang, Anatoly A. Alikhanov, Baoli Yin:
A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation. CoRR abs/2302.13021 (2023) - [i6]Anatoly A. Alikhanov, Mohammad Shahbazi Asl, Chengming Huang:
Stability analysis of a second-order difference scheme for the time-fractional mixed sub-diffusion and diffusion-wave equation. CoRR abs/2307.05349 (2023) - 2022
- [j12]Wenyuan Li, Anatoly A. Alikhanov, Yalchin Efendiev, Wing Tat Leung:
Partially explicit time discretization for nonlinear time fractional diffusion equations. Commun. Nonlinear Sci. Numer. Simul. 113: 106440 (2022) - [j11]Anatoly A. Alikhanov, Chengming Huang:
A class of time-fractional diffusion equations with generalized fractional derivatives. J. Comput. Appl. Math. 414: 114424 (2022) - [c2]Abhishek Kumar Singh, Mani Mehra, Anatoly A. Alikhanov:
Data-Driven Discovery of Time Fractional Differential Equations. ICCS (1) 2022: 56-63 - [i5]Aleksei Tyrylgin, Maria V. Vasilyeva, Anatoly A. Alikhanov, Dongwoo Sheen:
A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media. CoRR abs/2201.07638 (2022) - 2021
- [j10]Anatoly A. Alikhanov, Chengming Huang:
A high-order L2 type difference scheme for the time-fractional diffusion equation. Appl. Math. Comput. 411: 126545 (2021) - [j9]Mahmoud A. Zaky, Ahmed S. Hendy, Anatoly A. Alikhanov, Vladimir G. Pimenov:
Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong? Commun. Nonlinear Sci. Numer. Simul. 96: 105672 (2021) - [i4]Anatoly A. Alikhanov, Chengming Huang:
A high-order L2 type difference scheme for the time-fractional diffusion equation. CoRR abs/2102.08813 (2021) - [i3]Aslanbek Khibiev, Anatoly A. Alikhanov, Chengming Huang:
A second order difference scheme for time fractional diffusion equation with generalized memory kernel. CoRR abs/2108.10596 (2021) - [i2]Jiuhua Hu, Anatoly A. Alikhanov, Yalchin Efendiev, Wing Tat Leung:
Partially Explicit Time Discretization for Time Fractional Diffusion Equation. CoRR abs/2108.12989 (2021) - [i1]Wenyuan Li, Anatoly A. Alikhanov, Yalchin Efendiev, Wing Tat Leung:
Partially Explicit Time Discretization for Nonlinear Time Fractional Diffusion Equations. CoRR abs/2110.13248 (2021) - 2020
- [j8]Ruilian Du, Anatoly A. Alikhanov, Zhi-Zhong Sun:
Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations. Comput. Math. Appl. 79(10): 2952-2972 (2020)
2010 – 2019
- 2017
- [j7]Anatoly A. Alikhanov:
A Difference Method for Solving the Steklov Nonlocal Boundary Value Problem of Second Kind for the Time-Fractional Diffusion Equation. Comput. Methods Appl. Math. 17(1): 1-16 (2017) - [j6]Anatoly A. Alikhanov:
A Time-Fractional Diffusion Equation with Generalized Memory Kernel in Differential and Difference Settings with Smooth Solutions. Comput. Methods Appl. Math. 17(4): 647-660 (2017) - [j5]Xian-Ming Gu, Ting-Zhu Huang, Cui-Cui Ji, Bruno Carpentieri, Anatoly A. Alikhanov:
Fast Iterative Method with a Second-Order Implicit Difference Scheme for Time-Space Fractional Convection-Diffusion Equation. J. Sci. Comput. 72(3): 957-985 (2017) - [j4]Guang-hua Gao, Anatoly A. Alikhanov, Zhi-Zhong Sun:
The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for Solving the Time Multi-term and Distributed-Order Fractional Sub-diffusion Equations. J. Sci. Comput. 73(1): 93-121 (2017) - 2016
- [c1]Anatoly A. Alikhanov, Inna Z. Kodzokova:
A Higher Order Difference Scheme for the Time Fractional Diffusion Equation with the Steklov Nonlocal Boundary Value Problem of the Second Kind. NAA 2016: 164-171 - 2015
- [j3]Anatoly A. Alikhanov:
Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation. Appl. Math. Comput. 268: 12-22 (2015) - [j2]Anatoly A. Alikhanov:
A new difference scheme for the time fractional diffusion equation. J. Comput. Phys. 280: 424-438 (2015) - 2012
- [j1]Anatoly A. Alikhanov:
Boundary value problems for the diffusion equation of the variable order in differential and difference settings. Appl. Math. Comput. 219(8): 3938-3946 (2012)
Coauthor Index
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