Bulletin of the South Ural State University

Series “Mathematical modelling, programming & computer software”

Vestnik Yuzhno-Ural’skogo gosudarstvennogo universiteta

Seriya “Matematicheskoe modelirovanie i programmirovanie”

ISSN 2071-0216 (Print) ISSN 2308-0256 (Online)

Volume 16, no. 2

May 2023

Mathematical Modelling

5 - 13 Exact Solutions of Beta-Fractional Fokas-Lenells Equation via Sine-Cosine Method

Volkan Ala, Berik Rakhimzhanov

14 - 27 The Qualitative Regularities of the Eutrophication Process of a Shallow Water Research Based on a Biological Kinetics Mathematical Model

Yu.V. Belova, E.O. Rahimbaeva, V.N. Litvinov, A.E. Chistyakov, A.V. Nikitina, A.M. Atayan

28 - 36 Comparative Analysis of Some Mathematical Models Ignition of Hydrogen-Oxygen Mixtures

M.S. Zharylkanova, Yu.M. Kovalev, E.E. Pigasov

37 - 48 On the Qualitative Analysis of a Family of Differential Equations with First Integrals of Degree More then 2

V.D. Irtegov, T.N. Titorenko

49 - 58 Travelling Breaking Waves

N.M. Koshkarbayev

59 - 67 Computer Modelling of Non-Stationary Flows with Phase Transitions in Countercurrent Heat Exchangers

V.K. Tolstykh, K.A. Pshenychnyi

68 - 77 Modelling the Process of Non-Equilibrium Hydrate Formation in a Porous Reservoir

M.K. Khasanov, S.R. Kildibaeva, M.V. Stolpovskiy

78 - 90 On a Lagrangian-Eulerian Method Calculation of Unsteady Flows Compressible Media

E.S. Shestakovskaya, Ya.E. Starikov, I.R. Makeeva

Programming & Computer Software

91 - 103 Grid-Characteristic Difference Scheme for Solving the Hopf Equation Based on Two Different Divergent Forms

V.E. Karpov, A.I. Lobanov

Short Notes

104 - 110 Algorithms Invenire Asymptotic Formulas Eigenvalues Discreta Semi-Terminus Operators

S.I. Kadchenko, L.S. Ryazanova

111 - 116 Investigation of Boundary Control and Final Observation in Mathematical Model of Motion Speed Potentials Distribution of Filtered Liquid Free Surface

K.V. Perevozchikova, N.A. Manakova