Abstract

The theoretical model of Saranya et al. (Bioprocess Biosyst Eng 41:281–294, 2017) glucose oxidation and hydrogen peroxide production in the Chitosan-alginate microsphere membrane is discussed. In this paper, an accurate and efficient Ultra-Spherical Wavelet Method (USWM) is successfully employed to investigate the numerical solutions for a set of nonlinear reaction–diffusion equations. The sensitivity analysis of various parameters on the concentrations of gluconic acid and hydrogen peroxide is also discussed. The numerical solutions are compared with Homotopy Perturbation Method and numerical simulation. Moreover, the use of USWM is found to be accurate, efficient, simple, flexible, and requires less computation costs.

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