• APPROXIMATE ANALYTICAL SOLUTION OF NON-LINEAR INITIAL VALUE PROBLEM FOR AN AUTOCATALYSIS IN A CONTINUOUS STIRRED TANK REACTOR: HOMOTOPY ANALYSIS METHOD

Abstract

In this paper, a non-isothermal version of Gray and Scott autocatalytic reactions has been modeled using mass and energy balances. The approximate analytical solution of non-isothermal continuous stirred tank reactor in which two parallel autocatalytic reactions is derived by using the Homotopy analysis method (HAM). Our analytical results are compared with the numerical simulation and a satisfactory agreement is noted. The Homotopy analysis method is less computational and is applicable for solving other non-linear boundary value problem, because it contains the convergence control parameter h.