Approximate Analytical Solutions for Nonlinear Reaction-Diffusion Equations at Conducting Polymer Modified Ultramicroelectordes via Taylor’s Series Method-Reference-Cited by-同舟云学术

Approximate Analytical Solutions for Nonlinear Reaction-Diffusion Equations at Conducting Polymer Modified Ultramicroelectordes via Taylor’s Series Method

Published:2023-05-10 Issue: Volume: Page:
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Author:

Yokeswari G.¹,Jayasimman I. Paulraj¹,Lynons M. E. G.²,Abukhaled Marwan³,Rajendran L¹

Affiliation:

1. AMET University

2. The University of Dublin

3. American University of Sharjah

Abstract

Abstract The primary goal of this article is to present novel analytical solutions for the coupled nonlinear equation found in polymer-modified conducting ultramicroelectrodes. Taylor's series method is utilized to obtain approximate analytical solutions for the reaction-diffusion equations, allowing for the determination of the substrate and mediator concentrations as well as the current response in relation to the substrate concentration at the electrode's surface. The impact of different factors on concentration and current is also explored. Our analytical findings exhibit a satisfactory degree of correspondence when compared to both numerical results obtained via MATLAB and prior analytical outcomes. Mathematics Subject Classification 34B60. 65L10. 82D60

Publisher

Research Square Platform LLC

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