A mathematical analysis of non-linear reaction-diffusion equations in electro chemical sciences

Authors

  • J. Anantha Jothi Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India.
  • M. Subha Department of Mathematics, Fatima College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India
  • V. V. Ananthaswamy The Madura College, Madurai, Tamil Nadu, India.
  • Seenith Sivasundaram Department of Mathematics, College of Science, Engineering and Mathematics, Daytona Beach, Florida 321114, USA

Abstract

This article discusses the mathematical model of the two-compartment biocatalytic system. The two layers of the mathematical modelling of biosensor are an enzyme layer and a membrane layer. The non-linear system equations are solved using the New Homotopy perturbation technique for obtaining an approximate analytical expression. A comparison is made between these approximate analytical equations and numerical simulations by utilizing MATLAB. We observe a satisfactory level of agreement between the numerical simulation results and our approximate analytical answers. Also, an approximate analytical expression for the biosensor’s current density is provided. A graphic representation of current density is also provided. Also evaluated are the effects of non-dimensional characteristics on the two-compartment biocatalytic system’s reaction.

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Published

2024-11-30

Issue

Vol. 31 No. 4 (2024): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2024 J. Anantha Jothi, M. Subha, V. V. Ananthaswamy, Seenith Sivasundaram

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

A mathematical analysis of non-linear reaction-diffusion equations in electro chemical sciences. (2024). Nonlinear Studies, 31(4), 1177-1196. https://nonlinearstudies.com/index.php/nonlinear/article/view/3646