Mathematical Modelling and Nonlinear Analysis of Reaction Diffusion Mechanism of the Volatile Compounds Alongside Spherical Electrodes Embedded within the Chemically Modified Electrodes

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DOI: https://doi.org/10.28924/2291-8639-23-2025-188
Published: Aug 15, 2025
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A. Uma, R. Swaminathan, Mathematical Modelling and Nonlinear Analysis of Reaction Diffusion Mechanism of the Volatile Compounds Alongside Spherical Electrodes Embedded within the Chemically Modified Electrodes, Int. J. Anal. Appl., 23 (2025), 188.

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A. Uma, R. Swaminathan

Abstract

The main objective of the present research is to propose a new mathematical formulation for the concentration of volatile substances corresponding to spherical electrodes through applying steady state reaction diffusion equations within the electrode surface in the presence of chemically modified electrodes. This model requires into consideration the diffusion of reactants and charge carriers that occur within the chemically modified layer that is positioned at the electrode surface. All probable experimental responses of the parameter may utilise appropriate mediator, substrate, and current concentrations evaluated analytically through the implementation of the Akbari Ganji Method. A numerical representation of the issue being studied can also be obtained implementing MATLAB software aimed at assisting comprehend the dynamics of the system. An appropriate degree of concurrence is subsequently provided once the ensuring results have been examined using currently accessible numerical data with previously discovered information.

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