OAK jurnallaridan yig‘ilgan 104809 ta ilmiy maqola: sarlavha, mualliflar, annotatsiya, kalit so‘zlar, DOI va tayyor iqtibos formatlari.
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…
The article analyzes the jewelry art that developed in the early Middle Ages in the territory of Central Sogdia, especially on the basis of the findings recorded as a result of archaeological research carried out at the…
The work is devoted to the study of mineral colours of ancient wall paintings from the remains of a medieval bathhouse found on the territory of the mahalla ‘Imom Vose’ in Samarkand (Uzbekistan). Eight different sam…
The article presents an analysis of materials of the monetary and weight systems of Sogdia and Chach. For both regions, the weight values of the shekel and karshi were calculated; these units functioned as units of…
Ossuaries are found throughout nearly all regions of Central Asia. As a key element of pre-Islamic funerary practice, they represent an important source for understanding the religious beliefs of the early medieval…
The article presents the results of the latest archaeological observations carried out at Shashtepa in 2021-2022, in connection with excavation work for the conservation project of the main Shashtepa site - a cult and…
This study examines archaeological artifacts recovered during excavations at the Balandtepa and Munchoqtepa sites—remains of the ancient city of Bob (Pop) in the Pop district of Namangan region—using X-ray fluorescence…
This article addresses one of the long-standing and still unresolved issues in the numismatics of Central Asia — the study of the so-called «Bukharhudat-type» coins. After outlining the main approaches to interpreting…
This article is dedicated to the study of rural development in Central Sogdiana during the 9th to 13th centuries, focusing on the geographic location, economic systems, social structures, and cultural life of its…
This article presents an in-depth analysis of the Karakhanid Empire’s political and economic strategy in the Fergana Valley (10th–12th centuries) and the formation of its administrative centers based on archaeological…
This article provides a unique perspective on the role of diplomacy in establishing and maintaining trade relations between China, Central Asia, India, the Middle East, and Europe in the early Middle Ages. The article…
The ancient period of the region covered the stages of formation, development, decline and cessation of the existence of the Ancient Fergana State (Davan). The article shows the processes of urbanization of the region…
This article is devoted to the historical reconstruction of the socio-economic and spiritual life of Celteminar communities based on settlements and burial materials. It examines a range of archaeological sites…
This article presents information about the geographical location and natural features of Mingbuloqsoy. It also outlines the results of scientific research conducted with the help of modern tools and technologies…