Article information

2002 , Volume 7, ¹ 5, p.21-28

Bykov A.A., Tsybenova S.B.

Realization of the method of continuation on parameter for two equations system

The modified method of continuation on parameter for two nonlinear equations system is described. The method is illustrated by Slinko-Chumakov's model from the theory of oscillating catalytic reactions and by Volter-Salnikov's model from the theory of polymerization. Parametric dependences of steady states are constructed.

[full text] Classificator Msc2000:
*34A34 Nonlinear equations and systems, general
65H10 Systems of equations
65H20 Global methods, including homotopy approaches
65L05 Initial value problems
80A32 Chemically reacting flows
82D60 Polymers

Keywords: system of nonlinear equations, initial value problem, method of continuation on a parameter, parametric dependence of steady states, stiff systems, Slinko-Chumakov model, oscillating catalytic reactions, Volterra-Salnikov model, polymerization

Author(s):
Bykov A.A.
Address: 650610, Russia, Kemerovo

Tsybenova S.B.
Address: Russia, Krasnoyarsk, Kemerovo


Bibliography link:
Bykov A.A., Tsybenova S.B. Realization of the method of continuation on parameter for two equations system // Computational technologies. 2002. V. 7. ¹ 5. P. 21-28
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