Journal Article10.1016/S0022-0728(68)80057-9
A method based on polynomial approximations for numerical solution of volterra integral equations
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TL;DR: In this article, a general treatment based on polynomial approximations for numerical solution of Volterra integral equations is presented, with a formalism that permits use of polynomials of any degree.
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About: This article is published in Journal of Electroanalytical Chemistry. The article was published on 01 Feb 1968. The article focuses on the topics: Volterra integral equation & Integral equation.
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Citations
The Mathematics of Diffusion
Digby D. Macdonald
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TL;DR: In this article, the authors consider the kinetics of the electrode reaction at the surface when solving the diffusion equation for the system and modify the diffusion equations to recognize the contributions from these kinetic processes to the overall transient response of the system.
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References
Theory of Stationary Electrode Polarography. Single Scan and Cyclic Methods Applied to Reversible, Irreversible, and Kinetic Systems.
R. S. Nicholson,Irving. Shain +1 more
TL;DR: In this paper, the integral equations obtained from the boundary value problems were solved and extensive data were calculated which permit construction of stationary electrode polarograms from theory, making it possible to develop diagnostic criteria so that unknown systems can be characterized by studying the variation of peak current, half-peak potential, or ratio of anodic to cathodic peak currents as a function of rate of voltage scan.
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