Shemet A. M. (Pacific State University, Khabarovsk, Russian Federation)
Ulengova T. G. (Pacific State University, Khabarovsk, Russian Federation)
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This scientific article provides an in-depth analysis of the role of differential equations in the field of chemical kinetics and their importance in studying reaction processes and predicting their dynamics. Chemical kinetics is a key discipline that allows us to understand how chemical reactions occur and how the concentrations of reactants and products change over time. Differential equations serve as a powerful mathematical tool for describing and modeling these complex processes.
The article extensively examines the fundamental types of differential equations applied in chemical kinetics. Special attention is given to rate equations, which describe the speed of chemical transformations, and equations describing the change in concentrations of reactants and products over time. These equations form the foundational basis for modeling reaction systems and enable in-depth exploration of their kinetic aspects.
An important aspect of the article is the discussion of various methods for solving differential equations used in chemical kinetics. The authors provide a detailed examination of numerical methods, analytical methods, and their combination. This allows chemists and researchers to develop more accurate mathematical models, predict the behavior of reaction systems, and even optimize conditions for conducting chemical reactions on an industrial scale.
The article also highlights the significance of using differential equations in scientific and engineering research. The mathematical approach provided by differential equations allows for a deeper understanding of reactions, the discovery of hidden patterns, and the creation of more precise forecasts in the field of chemical kinetics. This research opens up prospects for further studies in this area and underscores the value of mathematical modeling in the study of chemical reactions and processes.
In conclusion, this article represents a significant contribution to the field of chemical kinetics and the modeling of chemical reactions. It emphasizes the inseparable connection between chemistry and mathematics and demonstrates how differential equations help us understand and predict complex chemical processes, which is of immense importance to the scientific and engineering communities. This article serves as a crucial starting point for anyone interested in chemical kinetics, providing a comprehensive understanding of the role of differential equations in this field and contributing to the advancement of knowledge and the development of more accurate and predictable models of reaction systems.
Keywords:differential equations, chemical kinetics, reaction processes, dynamics, rate equations, concentration, solution methods, mathematical approach.
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Citation link:
Shemet A. M., Ulengova T. G. SOLVING SOME PROBLEMS OF CHEMICAL KINETICS USING DIFFERENTIAL EQUATIONS // Современная наука: актуальные проблемы теории и практики. Серия: Естественные и Технические Науки. -2025. -№06/2. -С. 249-253 DOI 10.37882/2223-2966.2025.06-2.48 |
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