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MATHEMATICAL MODELS AND COMPUTATIONAL ALGORITHMS FOR THE STUDY OF NONSTATIONARY THERMODYNAMIC PROCESSES IN A CONTINUOUS MEDIUM
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Perinskaya E. V.
Candidate of Technical Sciences, Associate Professor, DonNTU, Department of Applied Mathematics and Artificial Intelligence.
283001, Donetsk, Artyoma str., 58, tel. +7(949) 405-1799, email elenaperinskaya1@gmail.com.
Research interests: mathematical modeling of technological processes and numerical solution of boundary value problems.
UDC 537.874
DOI 10.24412/2413-7383-2024-4-65-74
Language: Russian
Annotation:
The paper considers mathematical models of processes based on boundary value problems for equations of mathematical physics, and ways to solve problems based on finite difference methods. To improve the parameters of technologies, it is necessary to conduct a study of processes, the most effective research method is mathematical modeling.
Keywords: physical process, mathematical model, boundary value problem, algorithm, numerical method.
List of literature:
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4. Mathematical modeling of mineral processing processes. Monograph/ Pavlysh V.N., Nazimko E.I., Korchevsky A.N., Perinskaya E.V., Serafimova L.I., Golikov A.S. // under the general editorship of Prof. Pavlysh V.N. and Prof. Nazimko E.I. – Donetsk: "VIC", 2014. – 463 p.
5. Mathematical modeling of the processes of dehydration of enriched mineral raw materials. Monograph/ Pavlysh V.N., Nazimko E.I., Perinskaya E.V., Tarabaeva I.V., Naumenko V.G. // under the general editorship of Prof. Pavlysh V.N. and Prof. Nazimko E.I. – Donetsk: "VIC", 2014. – 286 s.
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8. V. N. Pavlysh, A.V. Grom. Discrete modeling of an anisotropic continuous medium. / Problems of artificial intelligence – Donetsk 2023 1(28) – pp. 43-49.
9. V. N. Pavlysh, I. V., L. A. Lazebnaya. Mathematical models and algorithms for controlling the processes of dynamic impact on anisotropic underground massifs// Problems of artificial intelligence – Donetsk 2019 2(13) – pp. 4-13.
10. L. A. Lazebnaya. Mathematical models and computational algorithms in the control system of aerohydrodynamic processes in an anisotropic environment // Problems of artificial intelligence – Donetsk 2022 3(26) – pp. 14-27.
11. V. N. Pavlysh, G. B. Peretolchina. Mathematical modeling of nonstationary processes in an environment with vaguely defined parameters // Problems of artificial intelligence – Donetsk 2018 2(9) – pp. 33-45.
12. V. N. Pavlysh, I. V. Tarabaeva. Mathematical modeling of heat and mass transfer processes in a mobile layer // Problems of artificial intelligence – Donetsk 2017 2(5) – pp. 70-77.
13. E. V. Perinskaya. Application of the computational experiment method to the study of parameters of convective processes // Problems of artificial intelligence – Donetsk 2021 3(22) – pp. 57-65.
14. V. N. Pavlysh, S. A. Zori, E. I. Burlaeva. The task of classifying information in the formation of databases in computer learning systems of processes // Problems of artificial intelligence – Donetsk 2018 4(11) – pp. 71-81.
15. V. N. Pavlysh, G. I. Turchanin, O. A. Tikhonova modification of computer methods of representation and analysis of geotechnical information. // Problems of artificial intelligence – Donetsk 2016 1(2) – pp. 15-24.
16. V. N. Pavlysh , S. V. Storozhev. Mathematical modeling in stability problems based on the theory of fuzzy multiple analysis. // Problems of artificial intelligence – Donetsk 2021 2(21) – pp. 44-51
17. V. N. Pavlysh, I. V. Tarabaeva. Mathematical modeling of the process of movement of a gas–air mixture in a continuous medium (on the example of a coal seam) // Problems of artificial intelligence – Donetsk 2018 3(10) - pp. 104-111
Release: 4(35)'2024
Chapter: MATHEMATICAL MODELING, NUMERICAL METHODS AND SOFTWARE SYSTEMS
How to quote:
Perinskaya E. V. MATHEMATICAL MODELS AND COMPUTATIONAL ALGORITHMS FOR THE STUDY OF NONSTATIONARY THERMODYNAMIC PROCESSES IN A CONTINUOUS MEDIUM [Text]
/ E. V. Perinskaya
// Problems of artificial intelligence. - 2024. № 4 (35). - P. 65-74. - http://paijournal.guiaidn.ru/ru/2024/4(35)-6.html
