mathematical modeling

Numerical Modeling and Optimization of Design Parameters for Inertial-Water Filter of Producer Gas for Low-Capacity Gasifiers

This work addresses the problem of producer gas cleaning in low-capacity units (up to 40 m³/h) to ensure the reliable operation of internal combustion engines. Since traditional dry cyclones do not provide the required purity, the objective of this study is the optimization of the design parameters of a compact inertial-water filter.

Mathematical Models for Predicting Extreme Temperature Events and Minimizing Their Consequences

The article considers the problem of forecasting extreme temperature phenomena as one of the key components of ensuring the stability of the functioning of modern natural-technogenic and socio-economic systems in the face of climate change. The relevance of the study is due to the increase in the frequency and intensity of abnormally high and low temperatures, which cause significant risks to energy infrastructure, transport systems, the agro-industrial complex and public safety.

Anomaly Detection in Cyber-physical Systems: A SWAT Data-Based Mathematical modeling approach

This work presents statistical anomaly detectionmethods for cyber-physical systems using the Secure Water Treatment dataset, a scaled down version of a real-world industrial water treatment plant. We consider a critical sensor signal, the water level indicator LIT301, and set up two corresponding models for detecting cyber-attacks - a sliding window Z-score outlier detection, and an autoregressive integrated moving average time-series forecasting model of order (3,0,5).

ANALYSIS OF MOTION TRAJECTORIES OF A REVERSIBLE VIBRATORY CONVEYOR

Problem statement. The widespread use of electromagnetic drives in vibratory conveyors is limited by a lack of simple excitation frequency and phase control. Existing reversible conveyors typically rely on inertial or eccentric drives, which require full equipment stops for mechanical adjustments of the motion trajectory. Purpose. The purpose of this research is to develop a novel reversible vibratory conveyor with an electromagnetic drive, enabling the dynamic adjustment of complex motion trajectories using standard power supply configurations. Methodology.

Study of the Influence of Optimization Methods on the Efficiency of an Extremal Control System Based on Acoustic Anomaly Detection

The paper investigates the influence of optimization methods on the efficiency of an extremal control system based on acoustic anomaly detection. The proposed system can detect abnormal equipment operating modes by analyzing sound characteristics and automatically adapting control parameters to new operating conditions. Using mathematical modeling, the operation of the system with different optimization algorithms (gradient descent, Momentum, Nesterov and RMSProp) was studied.

Mathematical Assessment of the Impact of Corruption Growth on Changes in the Work of State Authorities

Corruption is one of the key factors that undermine the effectiveness of public administration, reduce citizens' trust in institutions, and inhibit socio-economic development.  Despite the presence of legislative and political countermeasures, the level of perception of corruption in Ukraine remains consistently high: during 2018–2024, the Corruption Perceptions Index (CPI) fluctuated between 31 and 36 points out of 100 possible, which indicates the limited results of anti-corruption reforms.  This makes it urgent to develop scientifically based mathematical methods tha

Solving inverse problem of the potential theory by the cascade algorithm and the near-boundary element method

The effectiveness of the indirect method of near-boundary elements (as a variant of the method of boundary integral equations) for constructing numerical solutions of direct and inverse problems of potential theory in a limited piecewise homogeneous object of arbitrary shape whose components are in ideal contact is substantiated.  The integral representation of the solution of the direct problem is constructed using the fundamental solution of the Laplace equation for the plane.  To find the intensities of unknown sources introduced in the near-boundary elements, the co

Kinetostatic Analysis of the Propulsion System for a Mobile in-pipe Inspection Robot

Problem statement. The structural integrity of extensive pipeline networks is critical for economic and environmental safety, demanding reliable inspection methods. Mobile In-Pipe Inspection Robots (IPIRs) offer a non- disruptive solution; however, the design of their propulsion systems for confined and complex environments remains challenging. Existing analytical frameworks often exhibit a disconnect between kinematic modeling (motion planning) and force analysis (stability and traction), particularly for advanced hybrid locomotion strategies.

TECHNICAL ASSESSMENT OF DISTRICT HEATING PIPELINES UNDER VARIABLE THERMAL LOADS WITH CONSIDERATION OF INSTALLATION DEFORMATIONS

This study presents a methodology for assessing the technical condition of district heating pipelines under high wear, variable thermal loads, and limited modernization resources. Emphasis is placed on installation defects, cyclic temperature and pressure fluctuations, and corrosion-induced degradation. A case study of a return water pipeline in Kremenchuk, featuring a 3° installation misalignment and 10 cm flange displacement, demonstrated stresses of 220–250 MPa, exceeding the steel’s yield strength in critical zones.

Consideration of induced polarization effects in solving inverse problems of geoelectrical sounding

The paper aims to develop an algorithm for identifying the physical (polarizability and resistivity) and geometric (center of mass, orientation, and dimensions) characteristics of local heterogeneities. This is achieved by analyzing induced polarization (IP) potential field data measured at the boundary of the object, using the indirect near-boundary element method. Methodology. A piecewise homogeneous half-plane was chosen as a model of the Earth's crust, where the components are in non-ideal contact.