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Shulyk, V. N.; Klymenko, O. V.; Svir, I. B.

Numerical solution of stiff ODEs describing complex homogeneous chemical processes. (English) Zbl 1153.65345

J. Math. Chem. 43, No. 1, 252-264 (2008).
Summary: In this manuscript, the two novel numerical methods for stiff ODEs-the Almost Runge-Kutta (ARK) and Aluffi-Pentini (AP)-are applied to the solution of two large stiff ODE systems that model the Belousov-Zhabotinskii reaction and air pollution process. The efficiency and accuracy of the two methods are compared revealing advantages of the ARK method especially for multidimensional ODE systems.

Cited in 4 Documents

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
92E20 Classical flows, reactions, etc. in chemistry
92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)

Keywords:

stiff ODEs; almost Runge-Kutta method; Aluffi-Pentini method; homogeneous chemical reactions

Software:

KinFitSim
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Full Text: DOI

References:

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