☆ 4.7 Article

Singular transients in the presence of homogeneous reactions at cylindrical wire electrodes: Simulation by the adaptive Huber method for integral equations

JOURNAL OF ELECTROANALYTICAL CHEMISTRY (2022)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Chemistry, Analytical

Catalytic ErevCrev′ mechanism at cylindrical wire electrodes: Theory of controlled-potential transients assuming DO = DR, and highly accurate computation of chronoamperograms and cyclic voltammograms

L. K. Bieniasz

Summary: This paper develops a general theory for large-signal controlled-potential experiments for the catalytic ErevCrev ' mechanism at cylindrical wire electrodes, with numerical procedures implemented for computing special functions related to chronoamperometric and cyclic voltammetric currents. The procedures are fast, accurate, and can be useful for validating digital simulation methods for electrochemistry and analyzing experimental data.

JOURNAL OF ELECTROANALYTICAL CHEMISTRY (2021)

添加到收藏夹

Article Chemistry, Analytical

Analytical solutions for the diffusive mass transfer at cylindrical and hollow-cylindrical electrodes with reflective and transmissive boundary conditions

Tim Tichter et al.

Summary: The paper derives analytical solutions for cylindrical and hollow-cylindrical electrodes with reflective and transmissive boundaries using Laplace transformation techniques, as well as explicit equations for concentration profiles of a Cottrellian potential step experiment. These expressions are given in terms of infinite series involving Bessel functions, and it is shown that computing only a few terms of these series is sufficient for accurate calculation of the desired time-dependent mass-transfer function or current. This method renders the numerical inversion of Laplace transformations obsolete and provides a mathematical supplement to the recent theory.

JOURNAL OF ELECTROANALYTICAL CHEMISTRY (2021)

添加到收藏夹

Article Chemistry, Analytical

Theory and highly accurate computation of nonlimiting chronoamperometric currents for the ErevCirr reaction mechanism at cylindrical wire electrodes

L. K. Bieniasz

Summary: The theory of single potential step chronoamperometry for the ErevCirr reaction mechanism involving reversible charge transfer and an (pseudo-) first order irreversible homogeneous follow-up chemical reactions at a cylindrical wire electrode has not been previously considered in literature, except for fragmentary results. A new theory is presented in this paper, with numerical procedures elaborated and implemented in C++ to efficiently compute a special trivariate function to describe nonlimiting Faradaic current. The effects of electrode curvature and homogeneous reaction rate constant on the current are briefly investigated and discussed using the freely available code for the procedures.

JOURNAL OF ELECTROANALYTICAL CHEMISTRY (2021)

添加到收藏夹

Article Mathematics, Applied

NONLINEAR TRANSIENT REACTION-DIFFUSION PROBLEM FROM ELECTROANALYTICAL CHEMISTRY

Michael Vynnycky et al.

Summary: An analytical and numerical investigation was conducted on a nonlinear reaction-diffusion partial differential equation in models of transient controlled-potential experiments in electroanalytical chemistry, aiming to determine the relationship between the concentration of a chemical species and its flux at a reacting electrode. It was found that a known relation for the steady-state case could be used in a singular perturbation expansion for the time-dependent case, but encountering a phenomenon akin to switchbacking when trying to determine the second term to extend the validity of the solution.

SIAM JOURNAL ON APPLIED MATHEMATICS (2021)

添加到收藏夹

Article Electrochemistry

A reliable automatic simulation of singular transients by the adaptive Huber method: The case of homogeneous reactions at planar and spherical electrodes

L. K. Bieniasz

ELECTROCHIMICA ACTA (2019)

添加到收藏夹

Article Electrochemistry

Integral equation-based simulation of transient electroanalytical experiments at spherical electrodes, for the catalytic EC' mechanism with DO ≠ DR

L. K. Bieniasz

ELECTROCHIMICA ACTA (2019)

添加到收藏夹

Article Electrochemistry

Highly accurate, inexpensive procedures for computing chronoamperometric current, integral transformation kernel, and related integrals, for an inlaid disk electrode

L. K. Bieniasz

ELECTROCHIMICA ACTA (2018)

添加到收藏夹

Article Mathematics, Applied

An adaptive Huber method for nonlinear systems of Volterra integral equations with weakly singular kernels and solutions

L. K. Bieniasz

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2017)

添加到收藏夹

Article Chemistry, Analytical

A reliable automatic simulation of singular electroanalytical transients, by the adaptive Huber method for Volterra integral equations

L. K. Bieniasz

JOURNAL OF ELECTROANALYTICAL CHEMISTRY (2017)

添加到收藏夹

Article Chemistry, Analytical

Automatic solution of integral equations pertinent to diffusion with first order homogeneous reactions at cylindrical wire electrodes

Leslaw K. Bieniasz

JOURNAL OF ELECTROANALYTICAL CHEMISTRY (2012)

添加到收藏夹

Article Mathematics, Applied

An adaptive Huber method for non-linear systems of weakly singular second kind Volterra integral equations

L. K. Bieniasz

APPLIED MATHEMATICS AND COMPUTATION (2011)

添加到收藏夹

Article Chemistry, Analytical

Automatic simulation of electrochemical transients at cylindrical wire electrodes, by the adaptive Huber method for Volterra integral equations

Leslaw K. Bieniasz

JOURNAL OF ELECTROANALYTICAL CHEMISTRY (2011)

添加到收藏夹

Article Chemistry, Analytical

Analysis of the applicability of the integral equation method in the theory of transient electroanalytical experiments for homogeneous reaction-diffusion systems: The case of planar electrodes

Leslaw K. Bieniasz

JOURNAL OF ELECTROANALYTICAL CHEMISTRY (2011)

添加到收藏夹

Article Chemistry, Analytical

A highly accurate, inexpensive procedure for computing integral transformation kernel and its moment integrals for cylindrical wire electrodes

Leslaw K. Bieniasz

JOURNAL OF ELECTROANALYTICAL CHEMISTRY (2011)

添加到收藏夹

Article Computer Science, Theory & Methods

An adaptive Huber method for weakly singular second kind Volterra integral equations with non-linear dependencies between unknowns and their integrals

Leslaw K. Bieniasz

COMPUTING (2010)

添加到收藏夹

Article Computer Science, Theory & Methods

Initialisation of the adaptive Huber method for solving the first kind Abel integral equation

L. K. Bieniasz

COMPUTING (2008)

添加到收藏夹

Article Computer Science, Theory & Methods

An adaptive Huber method with local error control, for the numerical solution of the first kind Abel integral equations

L. K. Bieniasz

COMPUTING (2008)

添加到收藏夹

Article Engineering, Multidisciplinary

Multi-precision laplace transform inversion

J Abate et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2004)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.