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 |
This study presents an efficient method for approximating the solutions of a certain class of first-order differential equations with variable coefficients. The approach constructs an auxiliary differential equation…
This paper studies the dynamics of derivatives of various orders of the Falkner–Skan (FS) equation in the presence of a longitudinal pressure gradient. The FS equation is a nonlinear singularly perturbed third-order…
The paper addresses the formulation of plane elasticity problems in terms of stresses and their numerical solution by the Galerkin finite element method. Based on the equilibrium equations, geometric relations, and…
This study presents a mathematical and numerical model for filtration flow, solute transport, adsorption, and membrane fouling in a cylindrical porous filter. The model combines axisymmetric Brinkman–Darcy flow…
This work presents a comprehensive numerical and analytical study of hydrodynamic and thermal processes in closed pipelines of variable diameter, taking into account terrain relief and external thermal influences. The…
Within a non-conservative formulation of the quasi-one-dimensional linearized mass and momentum conservation equations, transient processes are studied in an elementary undulating pipeline section caused by step-like…
This paper presents a three-dimensional numerical study of a novel vertical-axis wind turbine (VAWT) with a unique aerodynamic profile and a passive blade-pitch mechanism. Rectangular blades are mounted on horizontal…
This paper develops a quasi-one-dimensional mathematical model of steady-state heat transfer from a thin rectangular fin installed on a cylindrical pipeline parallel to its generatrix. Unlike classical formulations…
This paper investigates how the propagation velocity of small pressure disturbances in a gas–liquid medium varies with the mass concentration of air. Two cases are considered: a rigid pipeline and a pipeline accounting…
This paper presents an improved quasi-one-dimensional model of unsteady compressible fluid flow in main pipelines for studying water hammer damping. Its novelty lies in a rigorous nonlinear boundary condition based on…
A three-dimensional mathematical model is proposed for the inflow of a turbid (sediment-laden) river flow into a density-stratified reservoir, accounting for phase separation and the breakdown of the layered structure…
The article considers hybrid CPU-GPU parallel implementations of numerical solution algorithms for the hereditary model equation of radon volume activity. The test example is a direct Cauchy problem for a nonlinear…
In this paper, an optimal interpolation formula with derivative constructed in the Sobolev space is considered. The formula interpolates an unknown function using its values and derivatives first three order at equally…
Fourier integrals of functions appear primarily in the theory of special functions and Fourier analysis, but also in other applied and computational sciences and engineering, such as theoretical physics, acoustic…
This paper considers a two-dimensional linear hyperbolic system with dynamic boundary conditions and proposes a difference scheme for its numerical solution. An explicit–implicit directional splitting method is…
This article presents a highly accurate and efficient method—a discrete version of the preintegration method—for numerically solving the Cauchy problem for a singularly perturbed third-order equation. The method is…
This article presents a mathematical model and algorithm for numerically solving a problem for studying the hydrodynamic process of in-situ leaching in a heterogeneous porous medium, taking into account mass transfer…
This research presents a multidimensional mathematical model and a robust secondorder numerical algorithm for coupled heat and moisture transfer with pressure-driven gas flow. Utilizing fractional Caputo derivatives (0…
Recent years have witnessed significant climatic changes and increasing environmental pressure globally, including in Uzbekistan, necessitating an objective regional assessment. This research develops an approach for…
This research develops a mathematical formulation and numerical solution for the spatial-temporal distribution of groundwater head in heterogeneous porous media. Based on Darcy’s and mass conservation laws, a 3D…
This paper examines a boundary value problem for a degenerate elliptic equation in a planar domain bounded by a line segment and an analytic curve. The primary objective is to construct an explicit analytical solution…
This paper examines the dynamic modes of the fractional Zeeman oscillator. The fractional Zeeman oscillator is a system of two ordinary differential equations with fractional derivatives, understood in the…
The discovery of new chemical compounds with specified properties is a challenging problem in drug development. Many studies encode molecules as string representations derived from molecular graphs; however, this…
The solutions of boundary value problems associated with two-parameter singularly perturbed differential equations are well known to exhibit the formation of two distinct boundary layers, typically occurring near the…
The method of displaced nodes is applied when solving the Dirichlet problem for the Poisson equation in a rectangular domain. By approximating the Laplace operator using moving nodes, we obtain an approximate analytical…
The problem of constructing optimal quadrature formulas for approximate calculation of definite integrals and approximation of functions is one of the important problems of computational mathematics. These problems have…
In the early 1960s, seminal results in differential game theory, where the game is described by an ordinary differential equation in a finite-dimensional space, were obtained by academicians L.S. Pontryagin and N.N…
In this article, within the framework of the Saint-Venant compatibility conditions, plane problems of plasticity theory formulated in terms of strains are presented, aimed at investigating the stress-strain state of a…
This article examines the theoretical foundations and practical application of a mathematical model for forecasting groundwater movement and levels based on the analysis of modern literature. The mathematical model for…
This article is devoted to the study of the properties of solutions of systems of heat conduction equations associated with nonlinear boundary conditions, to the construction of self-similar solutions and finding their…
This paper explores the numerical modeling of flow during filtration and transport of dissolved components in a cylindrical porous medium. The mathematical formulation is based on the axisymmetric Brinkman-Darcy…
This article examines unsteady flows of rheologically complex fluids in a flat channel using the Oldroyd-B model after the actuator is switched off. It is assumed that until the actuator is switched off, the fluid flow…
This study addresses the mathematical modeling of the dispersion process of harmful substances released into the atmosphere in complex urban environments. A mathematical model has been developed to determine the…
For the numerical solution of the Dirichlet problem for the Poisson equation, both direct and iterative methods have been developed. However, the required number of arithmetic operations for direct methods, as well as…
Integrals of rapidly oscillating functions arise mainly in the theory of special functions and Fourier analysis, but also in other applied and computational sciences and engineering, for example, in theoretical physics…
Hypersingular integral equations are encountered in a number of fields, such as the dynamics of air and fluid flow, elasticity, and wave propagation theory. Analytical solutions for these integral equations exist, but…
The paper addresses a numerical solution of a plane–radial boundary inverse problem for the relaxation filtration equation describing fluid flow in an elastically deformable porous medium. The study is motivated by the…
For the first time, a fractal solar collector operating in the cogeneration mode is proposed. In this context, we are talking about a modern innovative system that uses fractal structures to optimize the processes of…
This paper proposes a Context-adaptive Audio-Visual Neural Network (CAVN) model for anomaly detection in public safety systems. Existing approaches primarily rely on visual data and employ simple fusion strategies for…
In this paper, the Cauchy problem with boundary conditions for an inhomogeneous parabolic equation with changing time direction is investigated. To construct the solution, the method of separation of variables (Fourier…
The paper models the spatiotemporal dynamics of the Kattakurgan Reservoir area using satellite-based water and vegetation indices combined with ensemble machinelearning methods. Multi-year time series of NDWI, NDVI, and…
This article proposes a dynamic model of a coupled thermoelasticity problem under stress. A coupled boundary value problem is formulated, consisting of three differen tial equations for the stress and temperature tensor…
The article analyzes the hydrodynamic processes associated with underground mining, in particular, the acid extraction of precious metals from ore deposits. In order to comprehensively study, monitor and predict the…
This paper presents the design and analysis of an innovative solar-powered water supply system for multi-storey residential buildings under conditions of high solar insolation and limited energy resources. Instead of…
This article describes and provides examples of the FrOsFHN software package for the quantitative and qualitative analysis of a nonlinear FitzHugh-Nagumo oscillator with variable memory (the fractional FitzHugh-Nagumo…
This paper formalizes and extends the classic concept of the "Middle Turkic"language (Karimov–Mutalov, 1992) by applying tools from corpus and computational linguistics. The proposed model frames the selection of an…
This paper presents a method of semantic modeling based on representing complex objects and phenomena as informational aggregates composed of core, designating, characterizing, and associative entities. Each entity is…
In this article, we present a detailed study on the determination of the coefficients of a quadrature formula that involves derivatives, making use of the so-called the phi – function method. This method provides a…
Mathematical models of many applied problems lead to the need to solve interiorboundary value problems for partial differential equations. The problem under study belongs to the class of ill-posed problems in…
Numerical integration of definite integrals plays a crucial role in both fundamental and applied sciences. The precision of approximate integral calculations depends on the initial data and specific conditions, which…