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Singular perturbation techniques in the study of a diatomic gas with reactions of dissociation and recombination. (English) Zbl 1100.80011

The paper deals with the numerical solution of differential equations describing some chemical reactions of dissociation and re-combination. The physical problem and the corresponding equations are presented; one deals with the analytical solution of a first-order approximation with respect to small parameter; and then one considers the same problem for a regular singular perturbation scheme, with slowly varying variables. Numerical results are obtained by using the concepts of fast and slow variables.

MSC:

80M35 Asymptotic analysis for problems in thermodynamics and heat transfer
80A30 Chemical kinetics in thermodynamics and heat transfer
34E05 Asymptotic expansions of solutions to ordinary differential equations
34E15 Singular perturbations for ordinary differential equations
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