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Beshtokov Murat Khamidbievich

Leading Researcher of the Department of Computational Methods, Ph.D.

Graduated from the Faculty of Physics and Mathematics of the Kabardino-Balkarian State University named after Kh.M. Berbekov, specialty “Mathematics” in 2004; IAMA employee since 2020.

List of major works for last 5 years:

  1. Beshtokov M.Kh. Оn a non-local boundary value problem for the third order pseudo-parabolic equation // Computational Mathematics and Modeling. 2016, vol. 27, no. 1, pp. 60-79.
  2. Beshtokov M.Kh., Kanchukoev V.Z. Erzhibova F.A. A boundary value problem for a degenerating moisture transfer equation with a condition of the third kind // Vladikavaz Mathematical Journal.   2017, vol. 19, no. 4, pp.13-26.
  3. Beshtokov M.Kh. On the numerical solution of a nonlocal boundary value problem for a degenerate pseudoparabolic equation // Differential Equations. 2016, vol. 52, no. 10, pp. 1393-1406.
  4. Beshtokov M.Kh. A difference method for solving a nonlocal boundary value problem for a degenerate pseudoparabolic equation of the third order with variable coefficients // Journal of Computational Mathematics and Mathematical Physics. 2016, vol. 56, no. 10, pp. 1780-1794.
  5. Beshtokov M.Kh. The third boundary value problem for Sobolev type loaded differential equation and grid methods of their numerical implementation // XI International conference “Grid methods for boundary value problems and applications” Kazan-2016.
  6. Beshtokov M.Kh. Differential and difference boundary value problems for loaded pseudoparabolic equations of the third order and difference methods for their numerical implementation // Journal of Computational Mathematics and Mathematical Physics. 2017, vol. 57, no. 12, pp. 2021-2041.
  7. Beshtokov M.Kh. Boundary value problems for Sobolev type degenerate and nondegenerate equations with a nonlocal source in differential and difference interpretations // Differ. Equations. 2018, vol. 54, no. 2, pp. 249-266.
  8. Beshtokov M.Kh. On boundary value problems for degenerate pseudoparabolic equations with Gerasimov-Caputo fractional derivative // ​​Izvestiya vuzov. Mathematics. 2018, no. 10, pp. 3-16.
  9. Beshtokov M.Kh. Local and non-local boundary value problems for degenerate and nondegenerate pseudoparabolic equations with Riemann-Liouville fractional derivative // ​​Differ. Equations. 2018, vol. 54, no. 6, pp. 763-778.
  10. Beshtokov M.Kh. Nonlocal boundary value problems for the Sobolev-type equation with the Gerasimov-Caputo fractional derivative and grid methods for their solution // Siberian Advances in Mathematics. 2018, vol. 21, no. 2, pp. 1-30.
  11. Beshtokov M.Kh. Numerical study of initial-boundary value problems for a Sobolev-type equation with a time-fractional derivative // ​​Journal of Computational Mathematics and Mathematical Physics. 2019, vol. 59, no. 2, pp. 185-202.
  12. Beshtokov M.Kh. Boundary-value problems for loaded pseudoparabolic equations of fractional order and difference methods of their solving // Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 2, pp. 3-12.

State Registration Certificates for Software:

  • The algorithm for solving the first boundary value problem for loaded pseudoparabolic equations of the third order implemented as computer program: certificate No. 2017661292, Federal Service for Intellectual Property.
  • The algorithm for solving a non-local boundary value problem for a degenerating pseudoparabolic equation of the third order with variable coefficients implemented as computer program: certificate No. 2017661291, Federal Service for Intellectual Property.
  • The algorithm for solving the third boundary value problem for degenerate loaded pseudoparabolic equations of the third order implemented as computer program: certificate No. 2017661504, Federal Service for Intellectual Property.
  • The algorithm for solving the first and third boundary value problems for pseudoparabolic equations with fractional Gerasimov-Caputo derivative with the Bessel operator implemented as computer program: certificate No. 2018660173, Federal Service for Intellectual Property.
  • The algorithm for solving the first and third boundary value problems for pseudoparabolic equations with fractional Gerasimov-Caputo derivative implemented as computer program: certificate No. 20186660370, Federal Service for Intellectual Property.
  • The algorithm for solving the first and third boundary value problems for loaded partial differential equations of Sobolev type of fractional order implemented as computer program: certificate No. 2018660508, Federal Service for Intellectual Property.
  • The algorithm for solving the first and third boundary value problems for differential equations of pseudoparabolic type of fractional order with a non-local source implemented as computer program: certificate No. 2018619966, Federal Service for Intellectual Property.
  • The algorithm for solving boundary value problems for loaded pseudoparabolic equations with fractional Gerasimov-Caputo derivative with the Bessel operator with conditions of the first and third kind implemented as computer program: certificate No. 2018660507, Federal Service for Intellectual Property.

Profiles for viewing the results of scientific activities

Email:  beshtokov-murat@yandex.ru
             beshtokov_murat@rambler.ru

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