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 18, no. 2

May 2025

Mathematical Modelling

5 - 17 On the Mathematical Model of the Control Problem for a Pseudo-Parabolic Equation with Involution

F.N. Dekhkonov

18 - 30 Effect of Rare-Earth Element Doping on Fe-Ga Alloys Properties: Tab Initio and Monte Carlo Modelling

M.V. Matyunina, A.S. Sokol, O.O. Pavlukhina, M.A. Zagrebin, V.V. Sokolovskiy, V.D. Buchelnikov

31 - 41 On The Refinement of an Approximate Solution of a One-Dimensional Singularly Perturbed Model Problem with Discontinuous Nonlinearity

V.N. Pavlenko, E.A. Derkunova

42 - 51 Direct and Inverse Problem of Organic Pollution Propagation

S.P. Semenov, A.A. Finigenov

52 - 65 Mathematical Models and Methods of Forecasting Biological Kinetics Processes Considering the Oxygen Regime

A.I. Sukhinov, Yu.V. Belova, I.Yu. Kuznetsova, A.M. Atayan, A.E. Chistyakov

Programming & Computer Software

66 - 78 Software Package Simple for Elastic Material Properties Characterization in Laminates Using Guided Waves

M.A. Arsenov, M.V. Golub, O.V. Doroshenko, A.A. Eremin, E.V. Glushkov, N.V. Glushkova

79 - 91 Deep Learning Approach for the Classification and Detection of Dental and Craniofacial Conditions

Asif Raza, Usman Amjad, Muhammad Ahmed Zaki, Hira Farman

92 - 101 Modification of Three-Term Conjugate Gradient Method for Solving Unconstrained Optimization and Image Restoration Problems

Younus Najm Huda, Shawkat Taher Mardeen, Muhiadeen Asmaa Abdulrahman

102 - 111 The Impact of Dataset Size on the Reliability of Model Testing and Ranking

A.V. Chuiko, V.V. Arlazarov, S.A. Usilin