A New Method to Study the Nonlinear Reaction-Diffusion Process in the Electroactive Polymer Film using Hyperbolic Function Method

被引：4

作者：

Rekha, Sekar ^{[1
]}

Rani, Ramu Usha ^{[2
]}

Rajendran, Lakshmanan ^{[1
]}

Lyons, Michael E. G. ^{[3
,4
]}

机构：

[1] AMET Deemed Univ, Dept Math, Chennai 603112, Tamil Nadu, India

[2] Meenakshi Coll Engn, Dept Math, Chennai 78, Tamil Nadu, India

[3] Univ Dublin, Trinity Coll Dublin, Sch Chem, Dublin 2, Ireland

[4] Univ Dublin, Trinity Coll Dublin, AMBER Natl Ctr, Dublin 2, Ireland

来源：

INTERNATIONAL JOURNAL OF ELECTROCHEMICAL SCIENCE | 2022年 / 17卷 / 12期

关键词：

Hyperbolic function method; Mathematical modeling; Non-linear differential equation; Electroactive polymer film; MICHAELIS-MENTEN KINETICS; HOMOTOPY ANALYSIS METHOD; REACTION/DIFFUSION; ELECTRODES; SENSORS;

D O I：

10.20964/2022.12.91

中图分类号：

O646 [电化学、电解、磁化学];

学科分类号：

081704 ;

摘要：

A mathematical model developed by Lyons and co-workers (Analyst, 121, (1996) 715-731) describes a substrate to form a complex with the immobilized catalyst is discussed. The hyperbolic function method is applied to solve the nonlinear equations in the electroactive polymer film. The resulting analytical expression of the substrate concentration is compared to the numerical results and previously available results. A satisfactory agreement is noted. The innovative method yields a compact set of analytical approximations that are easy to compute and simple to validate.

引用

页数：13

共 57 条

[11] AMPEROMETRIC ENZYME ELECTRODES .2. CONDUCTING SALTS AS ELECTRODE MATERIALS FOR THE OXIDATION OF GLUCOSE-OXIDASE [J].

ALBERY, WJ ;

BARTLETT, PN ;

CRASTON, DH .

JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1985, 194 (02) :223-235

[12]

Andrieux P, 1992, TECHNIQUES CHEM SERI, VXXII, P207

[13] ELECTROCHEMICAL IMMOBILIZATION OF ENZYMES .1. THEORY [J].

BARTLETT, PN ;

WHITAKER, RG .

JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1987, 224 (1-2) :27-35

[14]

Berkan S, 2017, PROPULS POWER RES, V6, P277, DOI 10.1016/j.jppr.2016.08.001

[15] Analysis of the steady-state behavior of pseudo-first-order EC-catalytic mechanism at a rotating disk electrode [J].

Devi, M. Chitra ;

Pirabaharan, P. ;

Abukhaled, Marwan ;

Rajendran, L. .

ELECTROCHIMICA ACTA, 2020, 345

[16] Akbari-Ganji's Method (AGM) for solving non-linear reaction - Diffusion equation in the electroactive polymer film [J].

Dharmalingam, K. M. ;

Veeramuni, M. .

JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 2019, 844 :1-5

[17] Analytical solution of steady state current at a microdisk biosensor [J].

Eswari, A. ;

Rajendran, L. .

JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 2010, 641 (1-2) :35-44

[18]

Evans GP., 1990, Advances in Electrochemical Science and Eengineering, V1, P1, DOI 10.1002/9783527616756.ch1

[19] The Taylor series method and trapezoidal rule on time scales [J].

Georgiev, Svetlin G. ;

Erhan, Inci M. .

APPLIED MATHEMATICS AND COMPUTATION, 2020, 378

[20] A Taylor series method for the solution of the linear initial-boundary-value problems for partial differential equations [J].

Groza, Ghiocel ;

Razzaghi, Mohsen .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (07) :1329-1343

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