Analytic solution of nonlinear batch reaction kinetics equations

Sandile Sydney Motsa, Stanford Shateyi


The classical nonlinear reaction kinetics equations are solved using an analytic technique for solving nonlinear problems known as the homotopy analysis method. An explicit analytic solution for the concentration of reactants and products that is uniformly valid for all times is presented. Numerical simulations based on Runge--Kutta initial value problem solvers verify our analytic solutions with good agreement.

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batch reactors, kinetics equations, homotopy analysis method, series solution

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