mathematical model

Integral conditions in the inverse problems of heat conduction

Thermal processes of new technological methods of heat treatment (thermocyclic, electropulse) of metals and alloys are considered in the paper.  Mathematical models of the temperature field in a moving tape and a wire with cyclically acting pulsed heat sources are considered.  Based on these models, the formulation of inverse problems for homogeneous and inhomogeneous thermal conductivity equations is proposed.  For each case (internal, external heat source or a combination), the appropriate method for solving the inverse problem is proposed.  The integral condition of heat balance is used

Mathematical model of electrical activity of biological network areas

In the paper, the mathematical model describing the generation of action potential and propagation of an impulse in the neuron's filaments on the basis of the analysis of parametric electriс circuits with distributed parameters and the mathematical model of synaptic interneuron connections are proposed.


Quality medical care is an important indicator of the economic development of a country. Today, improving the quality of health care services is a priority for both health care institutions and the state as a whole. The development of methods and tools for continuous improvement of the quality of medical services promotes regulation, the perfection of those services, ensures the effective working of all the components together and the consistency and continuity of their provision, as well as help the staff to determine how to achieve the optimal level of care.


The influence of microwave radiation on the rate of СО2 uptake by chlorophyll-producing microalgae of the Chlorella Vulgaris has been established. Experimental dependencies of greenhouse gases absorption by microalgae depending on the impact of microwave electromagnetic (MEM) field have been obtained. The mathematical model of the dynamics of biomass growth of Chlorella Vulgaris microalgae depending on the time of electromagnetic radiation has been constructed.

Mathematical modelling and experimental determination of parameters of the guidance system of weaponry complex

The methodological approaches to the improvement of the control system of the vertical guidance mechanism of FM-21 multiple launch missile system to increasing its speed and positioning accuracy are confirmed. The use of the three-circuit positional structure of the control system of the guidance mechanism with a position control loop and a fuzzy corrector is justified. A mathematical model of the guiding package motion has been obtained and its reaction has been calculated.

Switched Reluctance Motor With Energy Capasity Storage in System With Autonomus Limited Power Suppling

The article substantiates the expediency of using a capacitive storage in the circle of an electronic switch to improve the technical and economic performance of the switched reluctance motor. Such electromechanical converter is maximally simplest by design and construction, chip in technology side. It has good performance compared to simplest motor — induction, and, electric drive on the base of switched reluctance motor according to the regulating properties to drives with DC motors, that have unlimited distribution as know.

Modeling of Steady-state Modes of the Electrical Network From the Synchronous Electric Drive of Hydraulic Loading

Pumping stations that provide fluid transportation by pipeline are significant consumers of electricity. Energy overruns due to sub-optimal modes of operation of individual high-power units or sub-optimal number of simultaneously operating less powerful units are quite significant and can have a significant impact on overall energy consumption. Energy overruns at pumping stations also lead to significant overruns in electricity grid elements.

Mathematical Model of Magnetic State of Permanent Magnet Direct Current Motor

There is a tendency of replacement of small direct current motors with electromagnetic excitation on permanent magnet direct current (PMDC) motors nowadays. PMDC motors are widely used and that is why a task of creation of mathematical models of this type of motor is actual. The aim of the article is creation of mathematical model of magnetic state of PMDC motors on the basis of theory of electric and magnetic circuit.

Mathematical Model of Determination of Magnetic Conductance of Angle-data Transmitter With Transverse Magnetic System

    The mathematical model for defining the magnetic conductivity of inductive transmitters of the limited rotation angle is described; both linear and angular dimensions of magnetic core’s specific construction and technological errors of production and installation which is simulated by the misalignment of the stator and the rotor location was taken into consideration. The model is constructed assuming that there are no scattering streams due to the structural arrangement of the signal and the excitation windings.


    Prediction of cullet accumulation at municipal solid waste landfills was carried out by linear and multiple re-gression methods. Over time, the amount of waste at the landfills will increase and the soil condition will dete-riorate due to Na+ leaching This is confirmed by the experimental study of leaching of sodium ions from the cullet surface of different fractions with pure water and solutions with pH = 4.8 and pH = 9.2.