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- Title
Integration of chemical stiff ODEs using exponential propagation method.
- Authors
Falati, M.; Hojjati, G.
- Abstract
In this paper, we study the numerical long time integration of large stiff systems of differential equations arising from chemical reactions by exponential propagation methods. These methods, which typically converge faster, use matrix-vector products with the exponential or other related function of the Jacobian that can be effectively approximated by Krylov sabspace methods. We equip these methods to an automatic stepsize control technique and apply the method of order 4 for numerical integration of some famous stiff chemical problems such as Belousov-Zhabotinskii reaction, the Chapman atmosphere, Hydrogen chemistry, chemical Akzo-Nobel problem and air pollution problem.
- Subjects
DIFFERENTIAL equations; CHEMICAL reactions; MATHEMATICAL models; EXPONENTS; STIFF computation (Differential equations); JACOBIAN matrices; HYDROGEN
- Publication
Journal of Mathematical Chemistry, 2011, Vol 49, Issue 10, p2210
- ISSN
0259-9791
- Publication type
Article
- DOI
10.1007/s10910-011-9881-9