On a Global Error Estimate in Long-Term Numerical Integration of Ordinary Differential Equations | Sciact - CRIS-system of Boreskov Institute of Catalysis

On a Global Error Estimate in Long-Term Numerical Integration of Ordinary Differential Equations Full article

Journal

Selcuk Journal of Applied Mathematics
ISSN: 1302-7980

Output data

Year: 2001, Volume: 2, Number: 1, Pages: 27-46 Pages count : 20

Tags

numerical solution of ODEs; Runge-Kutta methods; global error; chemical kinetic model

Authors

Chumakov G.A. ¹ , Chumakova N.A. ²

Affiliations

1	Sobolev Institute of Mathematics, SB RAS, Pr. Ak. Koptyuga 4, Novosibirsk, Russia
2	Boreskov Institute of Catalysis, SB RAS, Pr. Ak. Lavrentieva 5, Novosibirsk, Russia

Funding (1)

International Association for the Promotion of Co-operation with Scientists from the New Independent States of the Former Soviet Union

99-01882

We describe an effective computational procedure of obtaining estimate for the global error in the long-term numerical integration with one-step embedded explicit Runge-Kutta methods applied to an ODE system. The paper relies on the existence of an asymptotic expansion for the global error. An example is given using a particular ODE system modeling the behavior of a heterogeneous catalytic reaction with complex dynamics.

Chumakov G.A. , Chumakova N.A.
On a Global Error Estimate in Long-Term Numerical Integration of Ordinary Differential Equations
Selcuk Journal of Applied Mathematics. 2001. V.2. N1. P.27-46. РИНЦ

Submitted:

Mar 6, 2001

Elibrary:

21072835

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