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Application of He’s variational iteration method in nonlinear boundary value problems in enzyme– substrate reaction diffusion processes: part 1. The steady-state amperometric response

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Abstract

A mathematical model of amperometric biosensors has been developed. In this paper, He’s variational iteration method is implemented to give approximate and analytical solutions of non-linear reaction diffusion equations containing a non linear term related to Michaelis–Menten kinetic of the enzymatic reaction. The variational iteration method which produces the solutions in terms of convergent series, requiring no linearization or small perturbation. These analytical results are compared with available limiting case result and are found to be in good agreement.

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  1. Department of Mathematics, SMSV Higher Secondary School, Karaikudi, Tamil Nadu, 630001, India

    G. Rahamathunissa & L. Rajendran

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  1. G. Rahamathunissa
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  2. L. Rajendran
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Rahamathunissa, G., Rajendran, L. Application of He’s variational iteration method in nonlinear boundary value problems in enzyme– substrate reaction diffusion processes: part 1. The steady-state amperometric response. J Math Chem 44, 849–861 (2008). https://doi.org/10.1007/s10910-007-9340-9

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  • DOI: https://doi.org/10.1007/s10910-007-9340-9

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