Malikov, R., Abdirashidova, G., & Abdirashidov, A.
Numerical analysis solution of the problem bimolecular reaction. |
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Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-01-81-88
DOI: https://dx.doi.org/10.15863/TAS.2020.01.81.88
Language: English
Citation: Malikov, R., Abdirashidova, G., & Abdirashidov, A. (2020). Numerical analysis solution of the problem bimolecular reaction. ISJ Theoretical & Applied Science, 01 (81), 501-507. Soi: http://s-o-i.org/1.1/TAS-01-81-88 Doi: https://dx.doi.org/10.15863/TAS.2020.01.81.88 |
Pages: 501-507
Published: 30.01.2020
Abstract: In the work, the problem of a bimolecular reaction called the “Brusselator” is numerically solved. After some simplifications, a nonlinear system of ordinary differential equations with two or three unknowns is obtained, which depends on only one parameter (for example, ?). The compiled Cauchy problem was solved by the fourth-order Runge-Kutta method of accuracy with a constant step. The problems of singular points, stability, and the limit cycle are analyzed, as well as the graphs of the trajectories in the phase space and their projections on the planes for various values of the parameter ?. Also solved the “Brusselator” problem with DDE.
Key words: bimolecular reaction, brusselator, system of ordinary differential equations, singular point, limit cycle, stability.
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