Anatoly A. Alikhanov

According to our database, Anatoly A. Alikhanov authored at least 21 papers between 2012 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay.

Anatoly A. Alikhanov, Mohammad Shahbazi Asl, Chengming Huang, Aslanbek Khibiev

J. Comput. Appl. Math., March, 2024

A Second-Order Difference Scheme for Generalized Time-Fractional Diffusion Equation with Smooth Solutions.

Aslanbek Khibiev, Anatoly A. Alikhanov, Chengming Huang

Comput. Methods Appl. Math., January, 2024

2023

A High-Order Discrete Energy Decay and Maximum-Principle Preserving Scheme for Time Fractional Allen-Cahn Equation.

Guoyu Zhang, Chengming Huang, Anatoly A. Alikhanov, Baoli Yin

J. Sci. Comput., August, 2023

A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media.

Aleksei Tyrylgin, Maria V. Vasilyeva, Anatoly A. Alikhanov, Dongwoo Sheen

J. Comput. Appl. Math., 2023

Stability analysis of a second-order difference scheme for the time-fractional mixed sub-diffusion and diffusion-wave equation.

Anatoly A. Alikhanov, Mohammad Shahbazi Asl, Chengming Huang

CoRR, 2023

2022

A class of time-fractional diffusion equations with generalized fractional derivatives.

Anatoly A. Alikhanov, Chengming Huang

J. Comput. Appl. Math., 2022

Partially explicit time discretization for nonlinear time fractional diffusion equations.

Wenyuan Li, Anatoly A. Alikhanov, Yalchin Efendiev, Wing Tat Leung

Commun. Nonlinear Sci. Numer. Simul., 2022

Data-Driven Discovery of Time Fractional Differential Equations.

Abhishek Kumar Singh, Mani Mehra, Anatoly A. Alikhanov

Proceedings of the Computational Science - ICCS 2022, 2022

2021

Partially Explicit Time Discretization for Time Fractional Diffusion Equation.

Jiuhua Hu, Anatoly A. Alikhanov, Yalchin Efendiev, Wing Tat Leung

CoRR, 2021

A second order difference scheme for time fractional diffusion equation with generalized memory kernel.

Aslanbek Khibiev, Anatoly A. Alikhanov, Chengming Huang

CoRR, 2021

Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?

Mahmoud A. Zaky, Ahmed S. Hendy, Anatoly A. Alikhanov, Vladimir G. Pimenov

Commun. Nonlinear Sci. Numer. Simul., 2021

A high-order L2 type difference scheme for the time-fractional diffusion equation.

Anatoly A. Alikhanov, Chengming Huang

Appl. Math. Comput., 2021

2020

Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations.

Ruilian Du, Anatoly A. Alikhanov, Zhi-Zhong Sun

Comput. Math. Appl., 2020

2017

Fast Iterative Method with a Second-Order Implicit Difference Scheme for Time-Space Fractional Convection-Diffusion Equation.

Xian-Ming Gu, Ting-Zhu Huang, Cui-Cui Ji, Bruno Carpentieri, Anatoly A. Alikhanov

J. Sci. Comput., 2017

The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for Solving the Time Multi-term and Distributed-Order Fractional Sub-diffusion Equations.

Guang-hua Gao, Anatoly A. Alikhanov, Zhi-Zhong Sun

J. Sci. Comput., 2017

A Time-Fractional Diffusion Equation with Generalized Memory Kernel in Differential and Difference Settings with Smooth Solutions.

Anatoly A. Alikhanov

Comput. Methods Appl. Math., 2017

A Difference Method for Solving the Steklov Nonlocal Boundary Value Problem of Second Kind for the Time-Fractional Diffusion Equation.

Anatoly A. Alikhanov

Comput. Methods Appl. Math., 2017

2016

A Higher Order Difference Scheme for the Time Fractional Diffusion Equation with the Steklov Nonlocal Boundary Value Problem of the Second Kind.

Anatoly A. Alikhanov, Inna Z. Kodzokova

Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016

2015

A new difference scheme for the time fractional diffusion equation.

Anatoly A. Alikhanov

J. Comput. Phys., 2015

Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation.

Anatoly A. Alikhanov

Appl. Math. Comput., 2015

2012

Boundary value problems for the diffusion equation of the variable order in differential and difference settings.

Anatoly A. Alikhanov

Appl. Math. Comput., 2012