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Analytical Solution of Cubic Autocatalytic Reaction-Diffusion Equations: Homotopy Pertuburation Approach
Abstract
The system is considered here with two chemical species, the reactant a and autocatalyst b. The Gray-Scott model of cubic-autocatalysis with linear decay is coupled with diffusion and considered in a one-dimensional reactor (a reactor-diffusion cell). Steady-state and non steady- state concentration profiles of the reactant and autocatalyst in Gray-Scott model are obtained using He’s Homotopy pertuburation method for small values parameters. A satisfactory agreement with analytical and numerical results are noted.
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