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Semi-analytical solutions for a cubic autocatalytic reaction, with linear decay and a precursor chemical, are considered. The model is coupled with diusion and considered in a one-dimensional reactor. In this model the reactant is supplied by two mechanisms, diusion via the cell boundaries and decay of an abundant precursor chemical present in the reactor. The Galerkin method is used to approximate the spatial structure of the reactant and autocatalyst concentrations in the reactor. Ordinary dierential equations are then obtained as

Semi-analytical solutions for cubic autocatalytic reaction-diffusion equations; the effect of a precursor chemical