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

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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Publication Details

Journal
International Journal of Analysis and Applications
Published
2025-08-15
DOI
https://doi.org/10.28924/2291-8639-23-2025-188
Primary Topic
Advanced Chemical Sensor Technologies
Type
article
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article

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

R. Swaminathan, A. Uma
International Journal of Analysis and Applications
Advanced Chemical Sensor Technologies
article

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

R. Swaminathan, A. Uma
article en

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.

International Journal of Analysis and ApplicationsVol. 23
Alagappa University (IN)
Openalex Percentile: Top 80%
Advanced Chemical Sensor Technologies
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Mathematical Modelling and Nonlinear Analysis of Reaction Diffusion Mechanism of the Volatile Compounds Alongside Spherical Electrodes Embedded within the Chemically Modified Electrodes — R. Swaminathan, A. Uma · International Journal of Analysis and Applications (2025) | TGRS Research Map | TGRS