Anatoly A. Alikhanov

A new difference scheme for the time fractional diffusion equation

Anatoly A. Alikhanov · Journal of Computational Physics · 2014 · 813 citations · Full text

Numerical Analysis, Fractional-order System, New Difference Scheme +4

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 · Journal of Scientific Computing · 2017 · 109 citations

Numerical Analysis, Fractional-order System, Time Multi-term +6

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

Anatoly A. Alikhanov · Applied Mathematics and Computation · 2012 · 83 citations · Full text

Numerical Analysis, Method Of Fundamental Solution, Free Boundary Problem +6

Boundary value problems for certain classes of loaded differential equations and solving them by finite difference methods

Anatoly A. Alikhanov, A. M. Berezgov, M. X. Shkhanukov-Lafishev · Computational Mathematics and Mathematical Physics · 2008 · 76 citations

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

Anatoly A. Alikhanov · Applied Mathematics and Computation · 2015 · 73 citations

Numerical Analysis, Method Of Fundamental Solution, Boundary Value Problems +6