Optimization of a Chemical Reaction Using the Modified Quasilinearization Algorithm

In this work we revisit the Modified Quasilinearization Algorithm as method to solve Nonlinear Programming Problems. The algorithm structure is first derived from the necessary conditions for a candidate solution to be an extremal. Secondly, we apply the numerical method to determine the optimal solution for a chemical reaction problem. The motivation for this application is the challenge of deciding the chemical mixture composition of any complex combination held under chemical equilibrium conditions. The problem mostly arises in the implementation and analysis of the performance of fuels and propellants that is used to aerospace propulsion. Moreover, the algorithm can also be virtually applied to the study of complex organic compounds.