- Approximate Solution of Initial Value Problems for First-Order Differential Equations using a Combined Runge-Kutta And Piecewise Constant Argument Method
Жумаев, З.З., Jumaev, Z.Z. · Ҳисоблаш ва амалий математика муаммолари · 2026-07-02
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…
- Numerical Study of the Dynamics of Derivatives of Various Orders of the Falkner–Skan Equation Depending on the Pressure Gradient
Тиловов, М.А., Tilovov, M.A. · Ҳисоблаш ва амалий математика муаммолари · 2026-07-02
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…
- Numerical Modeling of Elasticity Theory Problems in terms of Stresses using the Finite Element Method
Khaldjigitov, A.A., Bobonazarov, A.A., Rakhmonova, R.A., Халджигитов, А.А., Бобоназаров, А.А., Рахмонова, Р.А. · Ҳисоблаш ва амалий математика муаммолари · 2026-07-02
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…
- Membrane Fouling Characteristics During Filtration and Transport Processes in a Cylindrical Porous Filter
Ravshanov, N., Boborakhimov, B.I., Berdiyorov, Sh.Sh., Равшанов, Н., Боборахимов, Б.И., Бердиёров, Ш.Ш. · Ҳисоблаш ва амалий математика муаммолари · 2026-07-02
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…
- Modelling Heat and Mass Transfer in a Relief Pipeline with Constant and Varying Diameters
Ravshanov, Sh.A., Boborakhimova, M.I., Chulliev, Sh.I., Равшанов, Ш.А., Боборахимова, М.И., Чуллиев, Ш.И. · Ҳисоблаш ва амалий математика муаммолари · 2026-07-02
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…
- Investigation into the Dynamics of Transient Processes Associated with Flow Rate Changes at the end of a Pipeline Section, Both with and Without Resistance Force
Khozhikulov, Sh.Sh., Begimov, O.M., Obidjonov, A.J., Хожикулов, Ш.Ш., Бегимов, О.М., Обиджонов, А.Ж. · Ҳисоблаш ва амалий математика муаммолари · 2026-07-02
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…
- Computational Modeling of a Passive-Pitch Low-Wind Vertical-Axis Wind Turbine
Muzaffarov, S.A., Maratov, Kh.U., Hamdamov, M.M., Музаффаров, С.А., Маратов, Х.У., Хамдамов, М.М. · Ҳисоблаш ва амалий математика муаммолари · 2026-07-02
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…
- A Mathematical Model of Heat Transfer from a Liquid Coolant Flowing through a Cylindrical Pipeline Finned with Rectangular Fins
Ergashev, D.Y., Khujaev, J.I., Akhmadjonov, S.S., Эргашев, Д.Й., Хужаев, Ж.И., Ахмаджонов, С.С. · Ҳисоблаш ва амалий математика муаммолари · 2026-07-02
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…
- Investigation of the Propagation Velocity of Small Pressure Disturbances in a Gas–Liquid Medium with account for Gas Mass Concentration and Pipeline Wall Deformation
Begimov, O.M., Khujaev, I.K., Mamadaliev, Kh.A., Бегимов, О.М., Хужаев, И.К., Мамадалиев, Х.А. · Ҳисоблаш ва амалий математика муаммолари · 2026-07-02
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…
- Mathematical Model and Analysis of Water Hammer Damping using an Air Vessel
Bakhtiyorov, B.B., Khujaev, I.K., Turopova, N.V., Бахтиёров, Б.Б., Хужаев, И.К., Туропова, Н.В. · Ҳисоблаш ва амалий математика муаммолари · 2026-07-02
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…
- Mathematical Modeling of Multiphase Mixture Inflow into a Stratified Reservoir and the Breakdown of the Layered Structure
Yakhshibaev, D.S., Boborakhimov, B.I., Яхшибаев, Д.С., Боборахимов, Б.И. · Ҳисоблаш ва амалий математика муаммолари · 2026-07-02
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…
- Asymptotic Complexity Estimates of Hybrid Algorithms for the Numerical Solution of a Model Equation of Radon Volume Activity with a Variable-Order Fractional Derivative
Tverdyi, D.A., Твёрдый, Д.А. · Ҳисоблаш ва амалий математика муаммолари · 2026-05-02
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…
- An Application of Optimal Interpolation Formula with Derivative to Approximate Integration
Olimov, N.N., Олимов, Н.Н. · Ҳисоблаш ва амалий математика муаммолари · 2026-05-02
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…
- On a Discrete System for Finding the Coefficients of Weighted Optimal Quadrature Formulas
Boltaev, A.K., Болтаев, А.К. · Ҳисоблаш ва амалий математика муаммолари · 2026-05-02
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…
- An Explicit-Implicit Difference Scheme for a two-Dimensional Linear Hyperbolic System with Dynamic Boundary Conditions
Aloev, R.D., Ovlaeva, M.Kh., Abdullah, Ilyani, Issayeva, N.T., Алоев, Р.Д., Овлаева, М.Х., Абдуллаx, Ильяни, Исаева, Н.Т. · Ҳисоблаш ва амалий математика муаммолари · 2026-05-02
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…
- Numerical Modeling of the Cauchy Problem for a Third-Order Singularly Perturbed Equation
Shakaeva, E.E., Шакаева, Э.Э. · Ҳисоблаш ва амалий математика муаммолари · 2026-05-02
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…
- Mathematical Modeling of the Hydrodynamic Process of In-Situ Leaching taking into account the Changes in Hydrodynamic Parameters of a Porous Medium
Usmonov, L.S., Усмонов, Л.С. · Ҳисоблаш ва амалий математика муаммолари · 2026-05-02
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…
- Fractional Model and Robust Numerical Algorithm for Coupled Heat and Moisture Transfer in Heterogeneous Porous Bodies
Shadmanov, I.U., Izzatulloev, A.E., Busono, Suhendro, Шадманов, И.У., Иззатуллоев, А.Э., Бусоно, Сухендро · Ҳисоблаш ва амалий математика муаммолари · 2026-05-02
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…
- Forecasting the Environmental Health Index of Uzbekistan Regions using Machine Learning and Artificial Intelligence Methods
Ravshanov, N., Pambudi, Achmad Tirta Dharu Wahyu, Safari, Muhammad, Kamoliddinova, F., Равшанов, Н., Памбуди, Ахмад Тирта Дхару Вахью, Сафари, Мухаммад, Камолиддинова, Ф. · Ҳисоблаш ва амалий математика муаммолари · 2026-05-02
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…
- Mathematical Model of Groundwater Head Variation Processes in Heterogeneous Porous Media
Qodirov, R., Boborakhimov, B., Кодиров, Р., Боборахимов, Б. · Ҳисоблаш ва амалий математика муаммолари · 2026-05-02
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…
- Mixed-Composite-Type Equations as a Model of Anomalous Diffusion in Tumor Tissues
Ochilova, N.K., Очилова, Н.К. · Ҳисоблаш ва амалий математика муаммолари · 2026-05-02
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…
- FracDynZe is a Computer Program for Studying the Dynamics of Cardiac Function using the Fractional Zeeman Oscillator
Parovik, R.I., Israyiljanova, G.S., Паровик, Р.И., Исрайилжанова, Г.С. · Ҳисоблаш ва амалий математика муаммолари · 2026-05-02
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…
- Graph Generation with a Prescribed Structure: From Deep Neural Networks to Quantum Models (A Case Study of Novel Drug Design)
Adilova, F.T., Davronov, R.R., Адылова, Ф.Т., Давронов, Р.Р. · Ҳисоблаш ва амалий математика муаммолари · 2026-03-07
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…
- Numerical Modeling of the Boundary Value Problem for a two-Parameter Singularly Perturbed Differential Equation using the Spectral-Grid Method
Murodov, S.K., Муродов, С.К. · Ҳисоблаш ва амалий математика муаммолари · 2026-03-07
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…
- Solution of the Dirichlet Problem by the Moving Node Method
Dalabaev, U., Khasanova, D., Далабаев, У., Хасанова, Д. · Ҳисоблаш ва амалий математика муаммолари · 2026-03-07
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…
- Finding the Extremum of the Error Functional in the Space of Periodic Functions
Azamov, S.S., Bekmurodova, D.B., Азамов, С.С., Бекмуродова, Д.Б. · Ҳисоблаш ва амалий математика муаммолари · 2026-03-07
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…
- On the Solvability of the Pursuit Problem for Differential Games with Fractional Hilfer Derivatives
Mukhsinov, E.M., Hakimov, R.I., Мухсинов, Е.М., Хакимов, Р.И. · Ҳисоблаш ва амалий математика муаммолари · 2026-03-07
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…
- Numerical Modeling of Plane Elastoplastic Problems in Strains
Djumayozov, U.Z., Rakhmonova, R.A., Abdirakhmonova, M.N., Джумаёзов, У.З., Рахмонова, Р.А., Абдирахмонова, М.Н. · Ҳисоблаш ва амалий математика муаммолари · 2026-03-07
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…
- Numerical Modeling of the Geofiltration Process on Irrigated Lands Taking into account Physical Factors
Kurbonov, N., Boborakhimov, B., Khaknazarova, D., Murodullaev, B., Курбонов, Н., Боборахимов, Б., Хакназарова, Д., Муродуллаев, Б. · Ҳисоблаш ва амалий математика муаммолари · 2026-03-07
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…
- Properties of Solutions to Systems of Heat Conduction Equations with Nonlinear Boundary Conditions
Zaripova, A.R., Зарипова, А.Р. · Ҳисоблаш ва амалий математика муаммолари · 2026-03-07
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…
- Numerical Modeling of Filtration and Transport Processes in a Cylindrical Porous Filter Using the Finite Volume Method
Ravshanov, N., Boborakhimov, B.I., Berdiyorov, Sh.Sh., Равшанов, Н., Боборахимов, Б.И., Бердиёров, Ш.Ш. · Ҳисоблаш ва амалий математика муаммолари · 2026-03-07
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…
- The Occurrence of the Phenomenon of Elastic Return During Unsteady Flow of a Rheologically Complex Fluid in a Flat Channel within the Oldroyd-B Model
Yakhshibaev, D.S., Яхшибаев, Д.С. · Ҳисоблаш ва амалий математика муаммолари · 2026-03-07
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…
- Mathematical Modeling of the Dispersion of Harmful Substances Released into the Atmosphere in Complex Urban Environments
Ravshanov, N., Nasrullaev, P., Boborakhimov, B., Равшанов, Н., Насруллаев, П., Боборахимов, Б. · Ҳисоблаш ва амалий математика муаммолари · 2026-03-07
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…
- On Optimal Iterative and Direct Methods for Solving the Dirichlet Problem for the Poisson Equation
Ziyakulova, Sh.A., Зиякулова, Ш.А. · Ҳисоблаш ва амалий математика муаммолари · 2026-01-11
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…
- Optimization of Approximate Computation of Integrals of Rapidly Oscillating Functions in the Sobolev SPACE OF Complex-Valued Functions
Shadimetov, Kh.M., Elmuratov, G.Ch., Шадиметов, Х.М., Элмуратов, Г.Ч. · Ҳисоблаш ва амалий математика муаммолари · 2026-01-11
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…
- An Optimal Method for the Approximate Solution of the Hypersingular Integral Equations
Akhmedov, D.M., Mamatova, N.H., Ахмедов, Д.М., Маматова, Н.Х. · Ҳисоблаш ва амалий математика муаммолари · 2026-01-11
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…
- Numerical Solution of Plane-Radial Boundary Value Inverse Problem for the Equation of Non-Stationary Relaxation Filtration of Fluid in a Porous Medium
Kholiyarov, E.Ch., Turaev, D.Sh., Холияров, Э.Ч., Тураев, Д.Ш. · Ҳисоблаш ва амалий математика муаммолари · 2026-01-11
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…
- Design and Operating Principle of a Cogenerative Fractal Solar Collector
Rustamov, N., Mukhamejanov, N.B., Рустамов, Н., Мухамеджанов, Н.Б. · Ҳисоблаш ва амалий математика муаммолари · 2026-01-11
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…
- Model and Algorithms for Classifying Anomalous Phenomena based on the Convergence of Acoustic-Visual Signals
Ravshanov, N., Boborakhimov, B.I., Berdiev, M.I., Равшанов, Н., Боборахимов, Б.И., Бердиев, М.И. · Ҳисоблаш ва амалий математика муаммолари · 2026-01-11
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…
- Regularization of the Initial-Boundary Value Problem for a Inhomogeneous Parabolic Equation with Changing Time Direction
Khajiev, I.O., Shobdarov, E.B., Хажиев, И.О., Шобдаров, Э.Б. · Ҳисоблаш ва амалий математика муаммолари · 2026-01-11
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…
- Modeling the Spatio-Temporal Dynamics of a Reservoir Area (using the Kattakurgan Reservoir as an example) based on NDWI, NDVI, EVI Indices and Ensemble Learning Methods
Ravshanov, N., Rakhmanov, Kh.E., Fattaeva, D.A., Равшанов, Н., Рахманов, Х.Э., Фаттаева, Д.А. · Ҳисоблаш ва амалий математика муаммолари · 2026-01-11
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…
- Numerical Simulation of the Coupled Dynamic Problem of Thermoelasticity in Stresses
Kalandarov, A.A., Каландаров, А.А. · Ҳисоблаш ва амалий математика муаммолари · 2026-01-11
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…
- Three-Dimensional Mathematical Model and Numerical Solution Algorithm for Monitoring and Predicting In-Situ Leaching Processes in Porous Medium
Ravshanov, N., Usmonov, L.S., Равшанов, Н., Усмонов, Л.С. · Ҳисоблаш ва амалий математика муаммолари · 2026-01-11
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…
- Design and Analysis of Solar Water Supply System for Multi-Story Residential Buildings based On Boolean Programming
Eshkulov, M.U., Khamdamov, R.Kh., Эшкулов, М.У., Хамдамов, Р.Х. · Ҳисоблаш ва амалий математика муаммолари · 2026-01-11
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…
- FrOsFHN Software Package for Quantitative and Qualitative Analysis of the FitzHugh-Nagumo Fractional Oscillator with Variable Memory
Alimova, N.B., Parovik, R.I., Алимова, Н.Б., Паровик, Р.И. · Ҳисоблаш ва амалий математика муаммолари · 2026-01-11
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…