Anatoly A. Alikhanov
Orcid: 0000-0003-0684-6667
According to our database1,
Anatoly A. Alikhanov
authored at least 26 papers
between 2012 and 2025.
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Bibliography
2025
A high-order compact difference scheme for the multi-term time-fractional Sobolev-type convection-diffusion equation.
Comput. Appl. Math., February, 2025
Numerical method for fractional sub-diffusion equation with space-time varying diffusivity and smooth solution.
J. Comput. Appl. Math., 2025
Multiscale model reduction for the time fractional thermoporoelasticity problem in fractured and heterogeneous media.
J. Comput. Appl. Math., 2025
2024
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., March, 2024
A Second-Order Difference Scheme for Generalized Time-Fractional Diffusion Equation with Smooth Solutions.
Comput. Methods Appl. Math., January, 2024
Robust finite difference scheme for the non-linear generalized time-fractional diffusion equation with non-smooth solution.
Math. Comput. Simul., 2024
Modified least squares method and a review of its applications in machine learning and fractional differential/integral equations.
CoRR, 2024
2023
A High-Order Discrete Energy Decay and Maximum-Principle Preserving Scheme for Time Fractional Allen-Cahn Equation.
J. Sci. Comput., August, 2023
A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media.
J. Comput. Appl. Math., 2023
Stability analysis of a second-order difference scheme for the time-fractional mixed sub-diffusion and diffusion-wave equation.
CoRR, 2023
2022
A class of time-fractional diffusion equations with generalized fractional derivatives.
J. Comput. Appl. Math., 2022
Partially explicit time discretization for nonlinear time fractional diffusion equations.
Commun. Nonlinear Sci. Numer. Simul., 2022
Proceedings of the Computational Science - ICCS 2022, 2022
2021
CoRR, 2021
A second order difference scheme for time fractional diffusion equation with generalized memory kernel.
CoRR, 2021
Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?
Commun. Nonlinear Sci. Numer. Simul., 2021
Appl. Math. Comput., 2021
2020
Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations.
Comput. Math. Appl., 2020
2017
Fast Iterative Method with a Second-Order Implicit Difference Scheme for Time-Space Fractional Convection-Diffusion Equation.
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.
J. Sci. Comput., 2017
A Time-Fractional Diffusion Equation with Generalized Memory Kernel in Differential and Difference Settings with Smooth Solutions.
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.
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.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016
2015
J. Comput. Phys., 2015
Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation.
Appl. Math. Comput., 2015
2012
Boundary value problems for the diffusion equation of the variable order in differential and difference settings.
Appl. Math. Comput., 2012