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 ◽

10.1016/j.jelechem.2022.116027 ◽

2022 ◽

pp. 116027

Author(s):

L.K. Bieniasz

Keyword(s):

Integral Equations ◽

Huber Method ◽

Homogeneous Reactions ◽

Cylindrical Wire

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

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2012.04.003 ◽

2012 ◽

Vol 674 ◽

pp. 38-47 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

First Order ◽

Homogeneous Reactions ◽

Cylindrical Wire

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

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2011.09.010 ◽

2011 ◽

Vol 662 (2) ◽

pp. 371-378 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Huber Method ◽

Automatic Simulation ◽

Cylindrical Wire

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

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.12.040 ◽

2011 ◽

Vol 217 (12) ◽

pp. 5622-5631 ◽

Author(s):

L.K. Bieniasz

Keyword(s):

Linear Systems ◽

Integral Equations ◽

Volterra Integral Equations ◽

Weakly Singular ◽

Huber Method ◽

Non Linear Systems

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Cyclic Voltammetric Current Functions Determined with a Prescribed Accuracy by the Adaptive Huber Method for Abel Integral Equations

Analytical Chemistry ◽

10.1021/ac801412f ◽

2008 ◽

Vol 80 (24) ◽

pp. 9659-9665 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

Cyclic Voltammetric ◽

Abel Integral Equations ◽

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Extension of the Adaptive Huber Method for Solving Integral Equations Occurring in Electroanalysis, onto Kernel Function Representing Fractional Diffusion

Electroanalysis ◽

10.1002/elan.201100026 ◽

2011 ◽

Vol 23 (6) ◽

pp. 1506-1511 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

Kernel Function ◽

Fractional Diffusion ◽

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

Electrochimica Acta ◽

10.1016/j.electacta.2018.11.168 ◽

2019 ◽

Vol 297 ◽

pp. 463-478 ◽

Author(s):

L.K. Bieniasz

Keyword(s):

Huber Method ◽

Automatic Simulation ◽

Homogeneous Reactions

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Automatic simulation of electrochemical transients by the adaptive Huber method for Volterra integral equations involving Kernel terms exp[−α(t − τ)]erex{[β(t − τ)]1/2} and exp[−α(t − τ)]daw {[β(t − τ)]1/2}

Journal of Mathematical Chemistry ◽

10.1007/s10910-011-9923-3 ◽

2011 ◽

Vol 50 (4) ◽

pp. 765-781 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Huber Method ◽

Automatic Simulation

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Automatic simulation of cyclic voltammograms by the adaptive Huber method for systems of weakly singular Volterra integral equations

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2010.02.029 ◽

2010 ◽

Vol 642 (2) ◽

pp. 127-134 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Cyclic Voltammograms ◽

Weakly Singular ◽

Huber Method ◽

Automatic Simulation

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

Computing ◽

10.1007/s00607-008-0010-y ◽

2008 ◽

Vol 83 (1) ◽

pp. 25-39 ◽

Author(s):

L. K. Bieniasz

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Error Control ◽

Local Error ◽

Abel Integral Equations ◽

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Automatic simulation of cyclic voltammograms by the adaptive Huber method for weakly singular second kind Volterra integral equations

Electrochimica Acta ◽

10.1016/j.electacta.2009.09.022 ◽

2010 ◽

Vol 55 (3) ◽

pp. 721-728 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Cyclic Voltammograms ◽

Weakly Singular ◽

Huber Method ◽

Automatic Simulation

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