Anatoly A. Alikhanov

31 papers Journal 29Unranked 2

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A discrete Grönwall inequality for L2-type difference schemes with application to multi-term time-fractional nonlinear Sobolev-type convection-diffusion equations with delay. Commun. Nonlinear Sci. Numer. Simul. Anatoly A. Alikhanov, Mohammad Shahbazi Asl, Chengming Huang, Adam A. Alikhanov
2025	J	`jnl`	A high-order compact difference scheme for the multi-term time-fractional Sobolev-type convection-diffusion equation. Comput. Appl. Math. Anatoly A. Alikhanov, Poonam Yadav, Vineet Kumar Singh, Mohammad Shahbazi Asl
2025	J	`jnl`	Multiscale model reduction for the time fractional thermoporoelasticity problem in fractured and heterogeneous media. J. Comput. Appl. Math. Anatoly A. Alikhanov, Huiran Bai, Jian Huang, Aleksei Tyrylgin, Yin Yang
2025	J	`jnl`	Numerical method for fractional sub-diffusion equation with space-time varying diffusivity and smooth solution. J. Comput. Appl. Math. Xuhao Li, Patricia J. Y. Wong, Anatoly A. Alikhanov
2024	J	`jnl`	A Second-Order Difference Scheme for Generalized Time-Fractional Diffusion Equation with Smooth Solutions. Comput. Methods Appl. Math. Aslanbek Khibiev, Anatoly A. Alikhanov, Chengming Huang
2024	J	`jnl`	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. Anatoly A. Alikhanov, Mohammad Shahbazi Asl, Chengming Huang, Aslanbek Khibiev
2024	J	`jnl`	Modified least squares method and a review of its applications in machine learning and fractional differential/integral equations. CoRR Abhishek Kumar Singh, Mani Mehra, Anatoly A. Alikhanov
2024	J	`jnl`	Robust finite difference scheme for the non-linear generalized time-fractional diffusion equation with non-smooth solution. Math. Comput. Simul. Nikki Kedia, Anatoly A. Alikhanov, Vineet Kumar Singh
2023	J	`jnl`	A High-Order Discrete Energy Decay and Maximum-Principle Preserving Scheme for Time Fractional Allen-Cahn Equation. J. Sci. Comput. Guoyu Zhang, Chengming Huang, Anatoly A. Alikhanov, Baoli Yin
2023	J	`jnl`	A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media. J. Comput. Appl. Math. Aleksei Tyrylgin, Maria V. Vasilyeva, Anatoly A. Alikhanov, Dongwoo Sheen
2023	J	`jnl`	A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation. CoRR Guoyu Zhang, Chengming Huang, Anatoly A. Alikhanov, Baoli Yin
2023	J	`jnl`	Stability analysis of a second-order difference scheme for the time-fractional mixed sub-diffusion and diffusion-wave equation. CoRR Anatoly A. Alikhanov, Mohammad Shahbazi Asl, Chengming Huang
2022	J	`jnl`	A class of time-fractional diffusion equations with generalized fractional derivatives. J. Comput. Appl. Math. Anatoly A. Alikhanov, Chengming Huang
2022	J	`jnl`	A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media. CoRR Aleksei Tyrylgin, Maria V. Vasilyeva, Anatoly A. Alikhanov, Dongwoo Sheen
2022	—	`conf`	Data-Driven Discovery of Time Fractional Differential Equations. ICCS (1) Abhishek Kumar Singh, Mani Mehra, Anatoly A. Alikhanov
2022	J	`jnl`	Partially explicit time discretization for nonlinear time fractional diffusion equations. Commun. Nonlinear Sci. Numer. Simul. Wenyuan Li, Anatoly A. Alikhanov, Yalchin Efendiev, Wing Tat Leung
2021	J	`jnl`	A high-order L2 type difference scheme for the time-fractional diffusion equation. Appl. Math. Comput. Anatoly A. Alikhanov, Chengming Huang
2021	J	`jnl`	A high-order L2 type difference scheme for the time-fractional diffusion equation. CoRR Anatoly A. Alikhanov, Chengming Huang
2021	J	`jnl`	A second order difference scheme for time fractional diffusion equation with generalized memory kernel. CoRR Aslanbek Khibiev, Anatoly A. Alikhanov, Chengming Huang
2021	J	`jnl`	Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong? Commun. Nonlinear Sci. Numer. Simul. Mahmoud A. Zaky, Ahmed S. Hendy, Anatoly A. Alikhanov, Vladimir G. Pimenov
2021	J	`jnl`	Partially Explicit Time Discretization for Nonlinear Time Fractional Diffusion Equations. CoRR Wenyuan Li, Anatoly A. Alikhanov, Yalchin Efendiev, Wing Tat Leung
2021	J	`jnl`	Partially Explicit Time Discretization for Time Fractional Diffusion Equation. CoRR Jiuhua Hu, Anatoly A. Alikhanov, Yalchin Efendiev, Wing Tat Leung
2020	J	`jnl`	Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations. Comput. Math. Appl. Ruilian Du, Anatoly A. Alikhanov, Zhi-Zhong Sun
2017	J	`jnl`	A Difference Method for Solving the Steklov Nonlocal Boundary Value Problem of Second Kind for the Time-Fractional Diffusion Equation. Comput. Methods Appl. Math. Anatoly A. Alikhanov
2017	J	`jnl`	A Time-Fractional Diffusion Equation with Generalized Memory Kernel in Differential and Difference Settings with Smooth Solutions. Comput. Methods Appl. Math. Anatoly A. Alikhanov
2017	J	`jnl`	Fast Iterative Method with a Second-Order Implicit Difference Scheme for Time-Space Fractional Convection-Diffusion Equation. J. Sci. Comput. Xian-Ming Gu, Ting-Zhu Huang, Cui-Cui Ji, Bruno Carpentieri, Anatoly A. Alikhanov
2017	J	`jnl`	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. Guang-hua Gao, Anatoly A. Alikhanov, Zhi-Zhong Sun
2016	—	`conf`	A Higher Order Difference Scheme for the Time Fractional Diffusion Equation with the Steklov Nonlocal Boundary Value Problem of the Second Kind. NAA Anatoly A. Alikhanov, Inna Z. Kodzokova
2015	J	`jnl`	A new difference scheme for the time fractional diffusion equation. J. Comput. Phys. Anatoly A. Alikhanov
2015	J	`jnl`	Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation. Appl. Math. Comput. Anatoly A. Alikhanov
2012	J	`jnl`	Boundary value problems for the diffusion equation of the variable order in differential and difference settings. Appl. Math. Comput. Anatoly A. Alikhanov