Speciality:
05.13.18 (Mathematical modeling, numerical methods, and the program systems)
Keywords: Mathematical Modelling;
Numerical Analysis;
Self-Similar Analysis;
Nonlinear Analysis;
Nonlinear Partial Differential Equations
UDC: 519.633.2 MSC: 35K55,35D30,35B44,35B40
Subject:
Mathematical modeling of nonlinear processes characterized by nondivergent equations
Main publications:
M. Aripov, M. Bobokandov, “The Cauchy problem for a double nonlinear time-dependent parabolic equation with absorption in a non-homogeneous medium”, Carpathian Mathematical Publications, 17:1 (2025), 277-291https://journals.pnu.edu.ua/index.php/cmp/article/view/7020
M. Aripov, M. Bobokandov, “Analysis of a double nonlinear parabolic equation with a source in an inhomogeneous medium”, Proceedings of the Institute of Mathematics and Mechanics, 50:2 (2024), 285–306
M. Aripov, M. Bobokandov, “Asymptotic behavior of solutions for a doubly nonlinear parabolic non-divergence form equation with density”, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON “MODERN PROBLEMS OF APPLIED MATHEMATICS AND INFORMATION TECHNOLOGY (MPAMIT2022)” (Bukhara, Uzbekistan, 11–12 May 2022), AIP Conference Proceedings, 3004, no. 1, 2024, 060006
M. Aripov, M. Bobokandov, M. Sayfullayeva, F. Kabiljanova, “About one exact solution to the nonlinear problem of a biological population with absorption in a heterogeneous medium”, INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2022) (Antalya, Türkiye, 31 October–6 November 2022), AIP Conference Proceedings, 3085, no. 1, 2024, 020031
M. Aripov, M. Bobokandov, M. Mamatkulova, “To numerical solution of the non-divergent diffusion equation in non-homogeneous medium with source or absorption”, INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2022) (Antalya, Türkiye, 31 October–6 November 2022), AIP Conference Proceedings, 3085, no. 1, 2024, 020024
M. Aripov, M. Bobokandov, N. Uralov, “Analysis of double nonlinear parabolic crosswise-diffusion systems with time-dependent nonlinearity absorption”, International Conference on Thermal Engineering (Tashkent, 28 May 1 June 2024), 2562-9034, 1, eds. Ziad Saghir, Toronto Metropolitan University, 2024, 314379https://journals.library.torontomu.ca/index.php/ictea/article/view/2257
M. Aripov, A. Matyakubov, M. Bobokandov, “Cauchy problem for the heat dissipation equation in non-homogeneous medium”, MODERN PROBLEMS OF APPLIED MATHEMATICS AND INFORMATION TECHNOLOGY (MPAMIT 2021) (Fergana, Uzbekistan, 15–17 November 2021), AIP Conference Proceedings, 2781, no. 1, 2023, 020027
M. Aripov, M. Bobokandov, “The Cauchy problem for a doubly nonlinear parabolic equation with variable density and nonlinear time-dependent absorption”, Journal of Mathematical Sciences, 277:3 (2023), 355–365
M. Aripov, A. S. Matyakubov, J. O. Khasanov, M. M. Bobokandov, “Mathematical modeling of double nonlinear problem of reaction diffusion in non-divergent form with a source and variable density”, Intelligent Information Technology and Mathematical Modeling 2021 (IITMM 2021) (Divnomorskoe, Russia, 31 May 6 June 2021), Journal of Physics: Conference Series, 2131, no. 3, 2021, 032043