{"title":"Chronoamperometric response of electrochemical reaction diffusion system: a new theoretical and numerical investigation for EC2 scheme","authors":"A. Eswari, S. Saravana kumar","doi":"10.1007/s13738-024-03063-1","DOIUrl":null,"url":null,"abstract":"<div><p>This paper introduces a novel mathematical model for chronoamperometric analysis of electrochemical reactions in the EC2 scheme. Utilizing the homotopy perturbation method, we address the highly nonlinear reaction–diffusion equations, even under non-steady state conditions. We offer an approximate analytical expression for species <i>O</i> and <i>R</i> concentrations, along with sensitivity analysis on diffusion and kinetic parameters. Results under steady state conditions validate our model against prior findings. Additionally, we provide a numerical solution using Matlab and Maple software, demonstrating satisfactory agreement with experimental data.</p></div>","PeriodicalId":676,"journal":{"name":"Journal of the Iranian Chemical Society","volume":null,"pages":null},"PeriodicalIF":2.2000,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Iranian Chemical Society","FirstCategoryId":"92","ListUrlMain":"https://link.springer.com/article/10.1007/s13738-024-03063-1","RegionNum":4,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This paper introduces a novel mathematical model for chronoamperometric analysis of electrochemical reactions in the EC2 scheme. Utilizing the homotopy perturbation method, we address the highly nonlinear reaction–diffusion equations, even under non-steady state conditions. We offer an approximate analytical expression for species O and R concentrations, along with sensitivity analysis on diffusion and kinetic parameters. Results under steady state conditions validate our model against prior findings. Additionally, we provide a numerical solution using Matlab and Maple software, demonstrating satisfactory agreement with experimental data.
本文介绍了 EC2 方案中用于电化学反应时变分析的新型数学模型。利用同调扰动法，我们解决了高度非线性的反应-扩散方程，即使在非稳态条件下也是如此。我们提供了物种 O 和 R 浓度的近似分析表达式，并对扩散和动力学参数进行了敏感性分析。稳态条件下的结果验证了我们的模型与之前研究结果的一致性。此外，我们还使用 Matlab 和 Maple 软件提供了数值解决方案，证明与实验数据的一致性令人满意。
期刊介绍：
JICS is an international journal covering general fields of chemistry. JICS welcomes high quality original papers in English dealing with experimental, theoretical and applied research related to all branches of chemistry. These include the fields of analytical, inorganic, organic and physical chemistry as well as the chemical biology area. Review articles discussing specific areas of chemistry of current chemical or biological importance are also published. JICS ensures visibility of your research results to a worldwide audience in science. You are kindly invited to submit your manuscript to the Editor-in-Chief or Regional Editor. All contributions in the form of original papers or short communications will be peer reviewed and published free of charge after acceptance.
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