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Barnaś D, Bieniasz L. Utility of super-time-stepping for electroanalytical digital simulations by explicit finite difference methods. Part 1: Spatially one-dimensional models. J Electroanal Chem (Lausanne) 2018. [DOI: 10.1016/j.jelechem.2018.03.006] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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Use of the Saul’yev method for the digital simulation of chronoamperometry and linear sweep voltammetry at the ultramicrodisk electrode. Electrochim Acta 2017. [DOI: 10.1016/j.electacta.2017.10.089] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Deng ZX, Lin XQ, Tong ZH. Single Alternating Group Explicit (SAGE) Method for Electrochemical Finite Difference Digital Simulation. CHINESE J CHEM 2010. [DOI: 10.1002/cjoc.20020200309] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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Evaluation of the current function in linear sweep voltammetry by Pade approximation and epsilon convergence. RUSS J ELECTROCHEM+ 2005. [DOI: 10.1007/s11175-005-0086-z] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Numerical stability of the Saul'yev finite difference algorithms for electrochemical kinetic simulations: Matrix stability analysis for an example problem involving mixed boundary conditions. ACTA ACUST UNITED AC 1995. [DOI: 10.1016/0097-8485(95)00047-v] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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ELSIM—A PC program for electrochemical kinetic simulations. Version 2.0—solution of the sets of kinetic partial differential equations in one-dimensional geometry, using finite difference and orthogonal collocation methods. ACTA ACUST UNITED AC 1993. [DOI: 10.1016/0097-8485(93)85015-5] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Bacha S, Bergel A, Comtat M. Modeling of amperometric biosensors by a finite-volume method. J Electroanal Chem (Lausanne) 1993. [DOI: 10.1016/0022-0728(93)80398-2] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Electrochemical kinetic simulations of mixed diffusion/homogeneous reaction problems by the Saul'yev finite difference algorithms. Anal Chim Acta 1993. [DOI: 10.1016/0003-2670(93)80085-y] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Randriamahazaka H, Nigretto JM. Digitally simulated predictions of the voltammetric current response relative to adsorbed enzyme-modified electrodes. ELECTROANAL 1993. [DOI: 10.1002/elan.1140050307] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Störzbach M, Heinze J. The Crank-Nicolson technique—an efficient algorithm for the simulation of electrode processes at macro- and microelectrodes. J Electroanal Chem (Lausanne) 1993. [DOI: 10.1016/0022-0728(93)85001-w] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Bieniasz LK. The von Neumann stability of finite-difference algorithms for the electrochemical kinetic simulation of diffusion coupled with homogeneous reactions. J Electroanal Chem (Lausanne) 1993. [DOI: 10.1016/0022-0728(93)80466-u] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Komorsky-Lovrić Š, Lovrić M, Bond AM. Square-wave voltammetry at spherical and disk microelectrodes as a function of electrode radius and frequency. ELECTROANAL 1993. [DOI: 10.1002/elan.1140050107] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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A method-oriented approach to the formulation of algorithms for electrochemical kinetic simulations. J Electroanal Chem (Lausanne) 1992. [DOI: 10.1016/0022-0728(92)80286-d] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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Bond AM. Robert Boyle anniversary lecture. New aspects of the electrochemistry of redox active metalloproteins and enzymes based on a microscopic model of electron transfer at the electrode–solution interface. ACTA ACUST UNITED AC 1992. [DOI: 10.1039/ap9922900132] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Interpretation of the electrochemistry of cytochrome c at macro and micro sized carbon electrodes using a microscopic model based on a partially blocke. ACTA ACUST UNITED AC 1991. [DOI: 10.1016/0022-0728(91)85437-t] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Codina G, Sanchez G, Aldaz A. Digital simulation of cyclic voltammetry on heterogenous electrodes. Electrochim Acta 1991. [DOI: 10.1016/0013-4686(91)85099-s] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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A fast quasi-explicit finite difference method for simulating electrochemical phenomena. ACTA ACUST UNITED AC 1990. [DOI: 10.1016/0022-0728(90)87419-k] [Citation(s) in RCA: 53] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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Digital simulation of cyclic voltammetric curves when the oxidized and the reduced forms of a redox couple are present in solution. ACTA ACUST UNITED AC 1990. [DOI: 10.1016/0022-0728(90)87376-u] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Britz D, da Silva B, Avaca L, Gonzalez E. The Saul'yev method of digital simulation under derivative boundary conditions. Anal Chim Acta 1990. [DOI: 10.1016/s0003-2670(00)83838-6] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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