Mathematical modeling and solution trajectories of complex chemical mechanism based on Monte Carlo methods

The main purpose of this article is introducing the method of Spectral Quasi Equilibrium Manifold taking different model, simple and complex mechanism to find solution curve. Before that discussing reaction kinetic, reduction of system, chemical equilibrium, QEM technique. As in complex reaction we need to split reaction mechanism in different route to reduce the complexity of higher dimensional system.in this article SQEM technique is apply to different route and comparison of route is also discussed. In previous years, the depiction of existing method based on chemical reaction kinetics has become a standard approach, for which estimation of involved parameters become challenge. For the model developments and standardization, Sensitivity analysis is powerful tool. Influence of parameters on target output is discussed through graphical results.