Registration Number
0219U004152,
0116U002229
, R & D reports
Title
Research of mathematical models of physical processes by identifying and analyzing the recurrent use of information technology
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Head
Vasiliy Belozyorov, Доктор фізико-математичних наук
Registration Date
04-04-2019
Organization
Oles Honchar Dnipro National University
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Object of research - systems of differential equations and modern software tools for modeling of processes of the environment. The purpose of the work is to improve the procedures and software of recurrent analysis, which allow to implement the theoretical results obtained in the report, to study technical and economic problems. Methods of research - modern methods of the theory of differential equations, recurrent analysis and computational mathematics. The results of the work-new numerical methods and algorithms are developed that allow solving some problems of financial activity, the flow of bodies of complex form and the theory of thin-walled systems. The task of predicting the price of WTI oil by means of Elliot's wave analysis is considered. Due to this instrument, the behavior of oil prices for the period from the beginning to the end of 2017 was predicted. It turned out that Elliott's approach is very dependent on political factors and can not guarantee a sufficiently precise forecast. In order to offset this shortcoming, it was suggested simultaneously with wave analysis to use and recurrent analysis to obtain a forecast that is more true. Also, the system is considered with a late argument. A number of phenomena surrounding the world can be described by such systems. The results obtained in this section relate to the stability and stability of the well-known McKay-Glass equation. Using the technique of recurrent analysis, we find in the section the values ??of the parameters of the McKay-Glass equation for which the equation has periodic, quasiperiodic or chaotic solutions. A new method of calculating the gradient in the problem of flow of three-dimensional bodies by a flow of a non-binding incompressible liquid, which is formulated in terms of velocity, is proposed. This allowed us to significantly improve the accuracy of the calculations compared with the methods that use the concept of potential. The problem of identification of inhomogeneities in a thin rectangular plate with the information about its stress-strain state is considered.. As inhomogeneities in this case, the local sections of the plate, on which there is a spin-like change in properties, serve as the intersection of the properties. Due to the application of the inverse problem method, we were able to obtain new results that could not be obtained by traditional methods. Novelty of development - all the results obtained in the report are new. This is confirmed by the publications of the authors in the famous domestic editions.
Product Description
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Гук Наталія Анатоліївна
Зайцев Вадим Григорович
Зайцева Тетяна Анатоліївна
Золотько Костянтин Євгенович
Степанова Наталія Івановна
Ясько Миколай Миколайович
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2020-04-02
