Automatic simulation of electrochemical transients by the adaptive Huber method for Volterra integral equations involving kernel terms \(\exp[ -\alpha (t - \tau )]\text{erex} \{[\beta (t - \tau )]^{1/2}\}\) and \(\exp[ - \alpha (t - \tau )]\text{daw} \{[\

DOI10.1007/s10910-011-9923-3zbMath1310.65163OpenAlexW1965115397MaRDI QIDQ592069

Lesław K. Bieniasz

Publication date: 13 June 2012

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-011-9923-3

zbMATH Keywords

numerical exampleVolterra integral equationsweakly singular kernelsadaptive Huber methodcomputational electrochemistrydigital simulationlaboratory automationvoltammetry

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Integral equations with miscellaneous special kernels (45H05) Electrochemistry (78A57)

Related Items (1)

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

Cites Work

• An adaptive Huber method for non-linear systems of weakly singular second kind Volterra integral equations
• Initialisation of the adaptive Huber method for solving the first kind Abel integral equation
• An adaptive Huber method with local error control, for the numerical solution of the first kind Abel integral equations
• Digital simulation in electrochemistry
• Future problem solving environments for computational science
• An adaptive Huber method for weakly singular second kind Volterra integral equations with non-linear dependencies between unknowns and their integrals
• Eine Näherungsmethode zur Auflösung Volterrascher Integralgleichungen

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