Jurnal matematik modellashtirish, hisoblash matematikasi va sonli usullarning zamonaviy usullarini ishlab chiqish va qoʻllashga qaratilgan boʻlib, sunʼiy intellekt, maʼlumotlarni intellektual tahlil qilish (data mining), teskari va notoʻgʻri qoʻyilgan masalalar, parallel hisoblash hamda dasturlash texnologiyalariga ustuvor eʼtibor qaratadi.
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
|---|---|
| Shahar | Toshkent |
| ISSN | 2181-8460 |
| e-ISSN | 2181-046X |
| Tashkil etilgan | 2015 |
| Maqolalar soni | 184 |
| OAK holati | Ro‘yxatda |
The game problem of transferring the trajectory of a dynamic system controlled by two players whose goals are opposite, from any point of a given set to a terminal set is considered. The given set is described by the…
A mathematical and numerical model is presented for the process of liquid solution filtration in a cylindrical porous filter. The model is based on the Brinkman-Darcy equations, describing fluid motion in a porous…
This paper presents a detailed comparative analysis of the numerical results of the 2D Backward Facing Step (2DBFS) problem. using modern software packages OpenFOAM, COMSOL Multiphysics and Ansys Fluent. The study…
The paper presents a mathematical model of pollutant dispersion in turbulent airflows within the atmospheric boundary layer. The model is based on the advection–diffusion equation and the system of Navier–Stokes…
Many practical problems, such as a solar panel, a microplate inside an electronic device, a thin layer of metal exposed to a laser, or the bending of a reinforced concrete slab, are described by various boundary value…
The relationship between class objects is considered for analyzing the cluster structure of the training dataset. The uniqueness of the solution to the problem of minimal coverage of the training set by prototypes is…
The article investigates optimal quadrature formulas designed for the approximate evaluation of highly oscillatory integrals, which frequently arise in many applied problems of mathematical physics, signal theory, and…
The article studies the dynamics of derivatives up to the highest derivative of an ordinary differential equation of the fourth order with a small parameter at the highest derivative. The solution of the differential…
In the world, special attention is given to developing various optimal computational methods for the approximate calculation of definite integrals. This article focuses on constructing composite optimal quadrature…
In this work, the problem of stabilizing the equilibrium state for a hyperbolic equation with negative nonlocal characteristic velocity and measurement error is investigated. The formulation of the mixed control problem…
This paper addresses the problem of constructing optimal quadrature formulas for the numerical evaluation of Hadamard-type hypersingular integrals with hihg oscillation. Such integrals frequently arise in the analysis…
The article considers the problem of constructing self-similar solutions of a system of nonlinear differential equations modeling mutual diffusion processes in multicomponent media. An analysis of a mathematical model…
This article presents an integrated mathematical model of radial filtration in a cylindrical filter, in which the flow movement is carried out from the outer layer to the inner cavity. Free flow areas are described by…
This work proposes an expanded 3D Euler model for calculating the spatiotemporal evolution of pollutant concentrations released into the atmosphere under changing meteorological conditions. The model, alongside the…
Many applied problems are described by the Dirichlet problem for the Poisson equa tions. This problem is used in the following practical situations: membrane or plate deflection, electric potential, gravitational and…
This article presents a comprehensive mathematical modeling of thermo-electro magneto-elastic processes in anisotropic thin plates of complex shapes using the R function method (RFM). The model considers interrelated…
Usually, the solution of a plane problem of the theory of elasticity in stresses is reduced to solving a biharmonic equation for the Airy stress function. In this paper, two (A and B) variants of plane boundary value…
This study investigates the classification of rooftop shapes using convolutional neural networks (CNNs), with a particular focus on regional adaptation through transfer learning. Initial training of the AlexNet…
Outlier detection is considered in a one-class classification problem. The challenges of detection are related to the choice of loss functions, optimization criteria, and transformations of various types of features…
This study explores the optimization of quadrature formulas for the approximate integration of periodic functions within a specific functional space. The research focuses on developing optimal quadrature formulas by…
This study is devoted to the development of a system of equations for determining the coefficients of optimal interpolation formulas that integrate derivative information within a Hilbert space framework. Conventional…
There are algebraic and variational approaches of construction in the spline theory. In algebraic approach splines are considered as some smooth piecewise polynomial functions. In the variational approach splines are…
This study addresses a mixed problem for a quasilinear system of hyperbolic equations expressed in Riemann invariants, incorporating dissipative nonlinear boundary conditions. A numerical approach is developed through…
This paper first demonstrates that an algebraic-hyperbolic spline of eighth order minimizes the norm within a Hilbert space framework. Subsequently, employing Sobolev’s method, which involves constructing a discrete…
This paper investigates the dynamics of the complex amplitude of the stream function for plane Poiseuille flow using the spectral method. An approximate solution of the flow under consideration is sought as a finite…
This article discusses the numerical modeling of the problem of nonlinear groundwater filtration taking into account evaporation and infiltration. Particular attention is paid to the influence of nonlinear effects on…
The paper considers the radial problem of anomalous filtration of a homogeneous liquid in a plane-radial formulation. The filtration process was modeled by a differential equation with fractional derivatives with…
This paper proposes a discrete model of the interaction between two airborne viruses, based on an operator acting in a four-dimensional simplex. The model describes the progression of an epidemic in a closed population…
Fractured porous media (FPM) in theoretical investigations is considered as a system of fractures and adjacent porous blocks (matrix). In such media, solute transport occurs mainly through the fracture system with mass…
This article explores the significance of modifying SHAP (SHapley Additive exPlana tions) values to enhance model interpretability in machine learning. SHAP values provide a fair attribution of feature contributions…
This paper discusses the application of quantum algorithms to the problem of op timizing resource allocation in agriculture. In particular, the possibility of using the Quantum Approximate Optimization Algorithm to…
Quantum technologies are transforming industries by harnessing the principles of quantum mechanics. These innovations promise to revolutionize computing, communi cations, sensing, cryptography, and healthcare, offering…
The article presents a numerical modeling approach for solving a non-homogeneous singularly perturbed fourth-order equation using by a discrete variant of the pre integration method. In the proposed method, the basis…
The numerical computation of definite integrals plays a crucial role in various applied and theoretical disciplines. In many cases, exact analytical evaluation of integrals is in feasible due to the complexity of the…
This paper presents a highly accurate and efficient spectral-grid method for the nu merical solution of a boundary value problem for a fourth-order ordinary differential equation with a small parameter at the highest…
In this paper, we propose a heuristic model for assessing the quality of human leadership in society. Such a model is based on an assessment of the psychological potential associated with his true self Яи, fantasy Яи…
This article presents a two-dimensional mathematical model describing the process of heat and moisture exchange in porous media for monitoring and forecasting their condition during storage of grain products, as well as…
In the article, using the ABMVAFracSim software package developed in the Python programming language, the fractional oscillatory system of Van der Pol-Airy is investigated. The fractional Van der Pol-Airy oscillator is…
In the paper developed and numerically solved the problem of solute transport in a porous medium consisting of active and passive zones, taking into account the multi-stage nature of adsorption kinetics. A mathematical…
In this article, the problem of estimating the parameters of the gamma distribution under censored data conditions in incomplete statistical models is considered. Numerical maximum likelihood methods are analyzed…
This article is dedicated to the study of the bending characteristics of thin plates under transient loads. The deformation process of plates subjected to transient loads is analyzed based on the Kirchhoff-Love and…
Numerical modelling is a powerful tool for the study of such processes, allowing to take into account complex geometry, inhomogeneity of properties and non-stationary nature of thermal fields. Modern computational…
This study presents a mathematical model for turbulent pollutant dispersion in urban airflows based on the Navier-Stokes equations and the ????−???? turbulence model. The model incorporates meteorological parameters…
Environmental pollution is one of the most critical issues of our time, as it leads to the deterioration of human health, the degradation of flora and fauna, and the suppression of vegetation. To study and predict the…
Modeling of nonlinear filtration processes in multilayer heterogeneous porous media is a complex area that combines various mathematical and physical principles to understand the dynamics of fluid in porous structures…
The article considers the results of experimental and numerical studies of atmospheric pollution processes in industrial zones. The proposed mathematical model helps to solve problems related to monitoring and…
The article analyzes the theoretical and practical aspects of the mathematical model for forecasting groundwater movement and level based on the studied literature. Using this model allows for efficient management…
The paper studies oscillograms, phase trajectories and bifurcation diagrams of the nonlinear FitzHugh-Nagumo oscillator with variable heredity (fractional FitzHugh-Nagumo oscillator). The model equation for the…
This paper presents the Alternating Direction Method of Multipliers (ADMM) optimizer, a powerful tool for solving optimization problems, especially in the context of mixed-binary constrained optimization (MBCO). This…
Models and algorithms for data interaction based on a multi-criteria evolutionary algorithm are a promising direction for improving transport logistics in rural areas. Their use allows not only to increase the…