Introducing closed form solution of Riccati differential equation of constant coefficient for solving some model of chemical processes

Abstract

Some chemical processes in batch reactor are commonly modelled in the form of Riccati differential equation of constant coefficient. In order to provide analytical tool required for development the model of chemical processes, we need the exact formula of Riccati differential equation. In this paper we introduce closed form formula for solution of Riccati differential equation of constant coefficient as alternative method for analysing the chemical processes in batch reactor besides the common procedure of series reaction sequence.