Numerical methods ordinary differential equations a rigid problem in chemical kinetics

Abstract

This section formally presents the Autonomous System of Rigid Nonlinear Differential Equations which is used to describe the kinetics of three elementary chemical reactions in parallel that occur simultaneously. Some basic contents about the chemical reactions and the aspects that define their kinetic behavior are introduced. Subsequently, the complete mathematical model that is deduced through the Law of Mass Action will be presented, following the references [1] and [12]. The version of the presented model will be made in terms of dimensionless variables and constants as considered by Robertson (1966) [15]. The section ends with the description of the problem to be studied from the mathematical point of view and its qualitative aspects that must be consistent so that it can be interpreted as a model of the considered chemical kinetic phenomenon.

Keywords: Autonomous system, kinetics, chemical reactions, law of mass action, Runge Kutta, ordinary differential equations