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

V. Ananthaswamy*, S. Kala, L. Rajendran

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.


Keywords


Gray-Scott model; Autocatalytic process; System of non-linear differential equations; Homotopy analysis method; Numerical simulation.

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