Email this article The numerical modeling of a cesium cycle in the upper atmosphere by an l-stable method of second-order accuracy
- Authors: Novikov AE1, Novikov EA2
-
Affiliations:
- Siberian Federal University, Russia, Krasnoyarsk
- Institute of Computational Modelling, Russian Academy of Sciences, Siberian Branch, Russia, Krasnoyarsk
- Issue: Vol 10, No 5 (2009)
- Pages: 17-20
- Section: Articles
- URL: https://journals.eco-vector.com/2712-8970/article/view/508519
- ID: 508519
Cite item
Full Text
Abstract
An algorithm of right-hand side and Jacobian formation of differential equations of chemical kinetics is described. Numerical simulation of the cesium cycle in the upper atmosphere is conducted by means of the L-stable method of the second order of accuracy with the control accuracy. The results of the computation are presented.
About the authors
A E Novikov
Siberian Federal University, Russia, KrasnoyarskSiberian Federal University, Russia, Krasnoyarsk
E A Novikov
Institute of Computational Modelling, Russian Academy of Sciences, Siberian Branch, Russia, KrasnoyarskInstitute of Computational Modelling, Russian Academy of Sciences, Siberian Branch, Russia, Krasnoyarsk
References
- Hairer E. Solving Ordinary Differential Equations. Stiff and Differential - Algebraic Problems / E. Hairer, G. Wanner. Springer-Verlag, 1996.
- Novikov E. A. Explicit methods for stiff systems / E. A. Novikov. Novosibirsk: Nauka, 1997.197 p. (inRussian).
- Byrne G. D. ODE solvers: a review of current and coming attractions / G. D. Byrne, A. C. Hindmarsh // J. of Comput. Physics. 1987. №70. P. 1-62.
- Emmanuel N. M. Chemical Kinetics / N. M. Emmanuel, D. G. Knorre. Moscow : Vysshaya shkola, 1974. 400 p. (in Russian).
- Babusok V. I. Numerical solution of direct kinetic problems /V. I. Babusok, E. A. Novikov //React. Kinet. Catal. Lett. 1982.V21.№. 1-2. P. 121-124.
- Babusok V. I. Generator of a right-hand side and a Jacobi matrix of differential equations of chemical kinetics : preprint № 359 /V. I. Babusok, E. A. Novikov ; Computing Center of SB AS USSR. Novosibirsk, 1982.27 p. (inRussian).
- Novikov E. A. The (2,1)-method for stiff nonautonomous problems /E. A. Novikov // Systems of control and informational technologies. 2008. №2(32). P. 12-15. (in Russian).
- Novikov E. A. Some methods for stiff systems induced by one and two calculations of a right-hand side / E. A. Novikov, Yu. A. Shitov // Math. models and methods forproblems of mechanics of continua. Krasnoyarsk, 1986. P. 11-19.
- Edelson D. The new book in chemical kinetics / D. Edelson//J. Chem. Ed. 1975. V 52. P. 642-643.
- Brown P. N. Reduced Storage Matrix Methods in Stiff ODE Systems / P. N. Brown, A. C. Hindmarsh // J. Appl. Math&Comp. 1989. V 31. P. 40-91.
Supplementary files
