Tvyordyj D A

Publications in Math-Net.Ru

1. Analysis of efficiency of the hybrid parallel algorithm for numerical solution of the cauchy problem for hereditary models of radon volumetric activity in FEVO software complex
   
   Vestnik KRAUNC. Fiz.-Mat. Nauki, 50:1 (2025),  149–168
2. Some aspects of the implementation of the PRPHMM 1.0 software package for refining the parameters of hereditary mathematical models of radon transfer in a storage chamber
   
   Vestnik KRAUNC. Fiz.-Mat. Nauki, 49:4 (2024),  135–156
3. Identification of parameters of the mathematical $\alpha$-model of radon transport in the accumulation chamber based on data from the Karymshina site in Kamchatka
   
   Vestnik KRAUNC. Fiz.-Mat. Nauki, 48:3 (2024),  95–119
4. The optimization problem for determining the functional dependence of the variable order of the fractional derivative of the Gerasimov-Caputo type
   
   Vestnik KRAUNC. Fiz.-Mat. Nauki, 47:2 (2024),  35–57
5. Application of high-performance computing to solve the cauchy problem with the fractional Riccati equation using an nonlocal implicit finite-difference scheme
   
   Vestnik KRAUNC. Fiz.-Mat. Nauki, 46:1 (2024),  103–117
6. Restoration of the order of fractional derivative in the problem of mathematical modelling of radon accumulation in the excess volume of the storage chamber based on the data of Petropavlovsk-Kamchatsky geodynamic polygon
   
   News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences, 2023, no. 6,  83–94
7. Solution of the inverse problem of identifying the order of the fractional derivative in a mathematical model of the dynamics of solar activitythe at rising phase
   
   Vestnik KRAUNC. Fiz.-Mat. Nauki, 45:4 (2023),  36–51
8. Computer simulation of the propagation of a plane electromagnetic wave in a waveguide formed by the Earth's surface and the ionosphere under the condition of inhomogeneous boundary conductivity
   
   Vestnik KRAUNC. Fiz.-Mat. Nauki, 44:3 (2023),  104–120
9. Research of stress-strain state of geo-environment by emanation methods on the example of $\alpha$(t)-model of radon transport
   
   Vestnik KRAUNC. Fiz.-Mat. Nauki, 44:3 (2023),  86–104
10. Parallelization of a numerical algorithm for solving the Сauchy problem for a nonlinear differential equation of fractional variable order using OpenMP technology
    
    Vestnik KRAUNC. Fiz.-Mat. Nauki, 43:2 (2023),  87–110
11. Mathematical modeling of the propagation of a plane electromagnetic wave in a strip waveguide with inhomogeneous boundary conductivity
    
    Vestnik KRAUNC. Fiz.-Mat. Nauki, 41:4 (2022),  66–88
12. Mathematical modeling in matlab of solar activity cycles according to the growth-decline of the Wolf number
    
    Vestnik KRAUNC. Fiz.-Mat. Nauki, 41:4 (2022),  47–64
13. Fractional differential model of physical processes with saturation and its application to the description of the dynamics of COVID-19
    
    Vestnik KRAUNC. Fiz.-Mat. Nauki, 40:3 (2022),  119–136
14. The nonlocal Koshy problem for the Riccati equation of the fractional order as a mathematical model of dynamics of solar activity
    
    News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences, 2020, no. 1,  57–62
15. Hereditary Riccati Equation with Fractional Derivative of Variable Order
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 154 (2018),  105–112
16. The Cauchy problem for the Riccati equation with variable power memory and non-constant coeffcients
    
    Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 3(23),  148–157
17. The Riccati equation with variable heredity
    
    Vestnik KRAUNC. Fiz.-Mat. Nauki, 2017, no. 1(17),  44–53