T. Berndt et al., A NEW APPROXIMATE METHOD FOR NUMERICALLY SOLVING OF ODE SYSTEMS IN CHEMICAL-KINETICS, Zeitschrift fur angewandte Mathematik und Mechanik, 74(7), 1994, pp. 275-280
In a recent paper we described an algorithm to calculate analytical fu
nctions for the time-dependence of concentrations based on a system of
ODEs by Laplace transforms. In this paper, we extend the procedure to
the case in which the analytical solutions are finished with an addit
ional change function. The method is suitable for models containing fi
rst and second order steps. No differences between stiff and nonstiff
ODEs are made. We show the application of our method to the case of pr
opane conversion, a mechanism with 32 steps and 20 species. Comparison
s with LARKIN (DEUFLHARD et al.) are made.