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  1. 2023

  2. Numerical algorithm for a generalized form of Schnakenberg reaction-diffusion model with gene expression time delay

    Omran, A. K., Zaky, M. A., Hendy, A. S. & Pimenov, V. G., Mar 2023, In: Applied Numerical Mathematics. 185, p. 295-310 16 p.

    Research output: Contribution to journal › Article › peer-review

  3. High-order numerical algorithm for fractional-order nonlinear diffusion equations with a time delay effect

    Omran, A. K. & Pimenov, V. G., 1 Jan 2023, In: Aims mathematics. 8, 4, p. 7672-7694

    Research output: Contribution to journal › Article › peer-review

  4. Numerical Method for Solving the Nonlinear Superdiffusion Equation with Functional Delay

    Pimenov, V. & Lekomtsev, A., 2023, In: Mathematics. 11, 18, p. 3941

    Research output: Contribution to journal › Article › peer-review

  5. Richardson Method for a Diffusion Equation with Functional Delay

    Pimenov, V. & Lozhnikov, A., 2023, In: Proceedings of the Steklov Institute of Mathematics. 321, S1, p. S204-S215 12 p.

    Research output: Contribution to journal › Article › peer-review

  6. АСИМПТОТИЧЕСКОЕ РАЗЛОЖЕНИЕ ПОГРЕШНОСТИ ЧИСЛЕННОГО МЕТОДА ДЛЯ РЕШЕНИЯ ВОЛНОВОГО УРАВНЕНИЯ С ФУНКЦИОНАЛЬНЫМ ЗАПАЗДЫВАНИЕМ

    Пименов, В. Г. & Таширова, Е. Е., 2023, In: Известия Института математики и информатики Удмуртского государственного университета. 62, p. 71-86 6 p.

    Research output: Contribution to journal › Article › peer-review

  7. Метод Ричардсона для диффузионного уравнения с функциональным запаздыванием

    Пименов, В. Г. & Ложников, А. Б., 2023, In: Труды института математики и механики УрО РАН. 29, 2, p. 133-144 11 p.

    Research output: Contribution to journal › Article › peer-review

  8. Современные проблемы математики. Моделирование динамических процессов: учебное пособие

    Пименов, В. Г., Лекомцев, А. В., Коврижных, А. Ю. (ed.) & Ложников, А. Б., 2023, Екатеринбург: Издательство Уральского университета. 70 p.

    Research output: Book/Report › Scholarly edition › peer-review

  9. 2022

  10. An easy to implement linearized numerical scheme for fractional reaction–diffusion equations with a prehistorical nonlinear source function

    Omran, A. K., Zaky, M. A., Hendy, A. S. & Pimenov, V. G., Oct 2022, In: Mathematics and Computers in Simulation. 200, p. 218-239 22 p.

    Research output: Contribution to journal › Article › peer-review

  11. CONVERGENCE OF ALIKHANOV’S METHOD FOR FRACTIONAL DIFFUSION EQUATION WITH DRIFT AND FUNCTIONAL DELAY

    Pimenov, V. & Tashirova, E., 2022, In: Memoirs on Differential Equations and Mathematical Physics. 87, p. 119-133 15 p.

    Research output: Contribution to journal › Article › peer-review

  12. Numerical method for system of space-fractional equations of superdiffusion type with delay and Neumann boundary conditions

    Ibragim, M. & Pimenov, V. G., 2022, In: Известия Института математики и информатики Удмуртского государственного университета. 59, p. 41-54 14 p.

    Research output: Contribution to journal › Article › peer-review

  13. NUMERICAL METHODS FOR SYSTEMS OF DIFFUSION AND SUPERDIFFUSION EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS AND WITH DELAY

    Pimenov, V. G., Lozhnikov, A. B. & Ibrahim, M., 2022, In: Дальневосточный математический журнал. 22, 2, p. 218-224 7 p.

    Research output: Contribution to journal › Article › peer-review

  14. 2021

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

    Zaky, M. A., Hendy, A. S., Alikhanov, A. A. & Pimenov, V. G., May 2021, In: Communications in Nonlinear Science and Numerical Simulation. 96, 15 p., 105672.

    Research output: Contribution to journal › Article › peer-review

  16. An Efficient Hybrid Numerical Scheme for Nonlinear Multiterm Caputo Time and Riesz Space Fractional-Order Diffusion Equations with Delay

    Omran, A. K., Zaky, M. A., Hendy, A. S. & Pimenov, V. G., 2021, In: Journal of Function Spaces. 2021, 13 p., 5922853.

    Research output: Contribution to journal › Article › peer-review

  17. CRANK-NICOLSON SCHEME FOR TWO-DIMENSIONAL IN SPACE FRACTIONAL DIFFUSION EQUATIONS WITH FUNCTIONAL DELAY

    Ibrahim, M. & Pimenov, V. G., 2021, In: Известия Института математики и информатики Удмуртского государственного университета. 56, p. 128-141 14 p.

    Research output: Contribution to journal › Article › peer-review

  18. ЧИСЛЕННЫЙ МЕТОД ДЛЯ ДРОБНЫХ ДИФФУЗИОННО-ВОЛНОВЫХ УРАВНЕНИЙ С ФУНКЦИОНАЛЬНЫМ ЗАПАЗДЫВАНИЕМ

    Пименов, В. Г. & Таширова, Е. Е., 2021, In: Известия Института математики и информатики Удмуртского государственного университета. 57, p. 156-169 14 p.

    Research output: Contribution to journal › Article › peer-review

  19. 2020

  20. Convergence of the L2-Method for a fractional diffusion-wave equations with delay

    Pimenov, V. & Tashirova, E., Nov 2020, Proceedings of the X All-Russian Conference "Actual Problems of Applied Mathematics and Mechanics" with International Participation, Dedicated to the Memory of Academician A.F. Sidorov and 100th Anniversary of UrFU: AFSID-2020. Fillimonov, M. (ed.). American Institute of Physics Inc., 050016. (AIP Conference Proceedings; vol. 2312).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

  21. Numerical method for two-dimensional space fractional equations with functional delay

    Pimenov, V., Hendy, A. & Ibrahim, M., Nov 2020, Proceedings of the X All-Russian Conference "Actual Problems of Applied Mathematics and Mechanics" with International Participation, Dedicated to the Memory of Academician A.F. Sidorov and 100th Anniversary of UrFU: AFSID-2020. Fillimonov, M. (ed.). American Institute of Physics Inc., 050017. (AIP Conference Proceedings; vol. 2312).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

  22. Numerical methods with weight for a fractional diffusion equations with functional delay and drift term

    Pimenov, V. & Elkin, E., Nov 2020, Proceedings of the X All-Russian Conference "Actual Problems of Applied Mathematics and Mechanics" with International Participation, Dedicated to the Memory of Academician A.F. Sidorov and 100th Anniversary of UrFU: AFSID-2020. Fillimonov, M. (ed.). American Institute of Physics Inc., 050018. (AIP Conference Proceedings; vol. 2312).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

  23. Convergence and stability estimates in difference setting for time-fractional parabolic equations with functional delay

    Hendy, A. S., Pimenov, V. G. & Macías-Díaz, J. E., 1 Jan 2020, In: Numerical Methods for Partial Differential Equations. 36, 1, p. 118-132 15 p.

    Research output: Contribution to journal › Article › peer-review

  24. Crank–Nicolson Numerical Algorithm for Nonlinear Partial Differential Equation with Heredity and Its Program Implementation

    Gorbova, T. V., Pimenov, V. G. & Solodushkin, S. I., 1 Jan 2020, Mathematical Analysis With Applications - In Honor of the 90th Birthday of Constantin Corduneanu, CONCORD-90 2018. Pinelas, S., Kim, A. & Vlasov, V. (eds.). Springer, p. 33-43 11 p. (Springer Proceedings in Mathematics and Statistics; vol. 318).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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