Registration Number
0222U004984,
0117U005125
, R & D reports
Title
Development of numerical-analytical and algebraic methods for solving problems of mathematical physics and mathematical modeling of physical, technological, chemical, and economic processes
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Head
Юрик Іван Іванович,
Registration Date
01-12-2022
Organization
National university of food technologies
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Report on research: 190 pages, 21 tables, 22 figures, 80 references. DEVELOPMENT OF NUMERICAL-ANALYTICAL AND ALGEBRAIC METHODS FOR SOLVING THE PROBLEMS OF MATHEMATICAL PHYSICS AND MATHEMATICAL MODELING OF PHYSICAL, TECHNOLOGICAL, CHEMICAL, ECONOMIC PROCESSES. A constructive way of constructing exact solutions of multidimensional nonlinear equations of mathematical physics is proposed. A generalized procedure for the separation of variables and the reduction of nonlinear heat conduction equations has been developed. A group analysis of the system of Euler's equations with state is carried out. A method of product novelty assessment has been developed, taking into account the stages of the life cycle in the process of forming the product and innovation policy of dairy industry enterprises. The problems of viscous fluid dynamics in regions with a free boundary were studied by the method of potential theory. A method of using Microsoft Excel spreadsheets in the educational process is proposed. The method of potentials for solving the transport problem using information technologies has been implemented. The existence of a unique solution to the problem of optimal control is proved and an approximate formula for optimal control of the problem is substantiated. The theoretical and applied problems of complex analysis, namely many issues related to Dirichlet series, have been studied. The obtained results on the belonging of entire functions to the generalized classes of convergence are transferred to the entire functions of several complex variables and some remarks on the relative growth of the entire Dirichlet series. The concept of a generalized derivative for vectors in a Banach space is introduced and a statement related to inverse theorems of approximation theory is established. A model with a one-sided tooth-groove surface is proposed. Analytical relations were obtained for the characteristics of the electromagnetic field of the electrodynamic brake.
Product Description
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Vasutinska Yuliia O.
Zinkevych Oleksii P.
Listopad Volodymyr V.
Mazur Oleh K.
Mulyava Oksana M.
Nikolaieva Oksana A.
Radziyevska Olena I.
Tsygankova Hanna A.
Yuryk Ivan I.
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2022-12-01
