Power Series Method applied to Inverse Analysis in Chemical Kinetics Problem

We present a deterministic and direct method inspired by the ideas of the Power Series Method applied to solve a chemical kinetics inverse problem. We use a power series as a trial solution approximation, and the data is used as initial condition and boundary value condition to solve the coupled differential equation of chemical kinetics and to obtain the rate constant parameters. The approach is easier, simpler, more numerical stable and robust than other methods as the Simplex and Levenberg–Marquardt algorithm, or Artificial Neural Network.