Abstract: This paper improved a novel uncoupled method of simulating chemical non-equilibrium flow whichwas introduced in Ref.1. The flow operator can be numerical solved by Runge-Kutta method; the reaction operatorcan be solved by trapezoidal rule, quasi steady state approximation and VODE.The oscillating shock-inducedcombustion experiments conducted by Lehr had been studied, and the numerical scheme and stiff ode solver wereevaluated. The effects of computing grid and chemical reaction mechanism also were studied.Key words chemical non-equilibrium flow, uncoupled method, numerical method刘