Regularized Collocation in Distribution of Diffusion Times Applied to Electrochemical Impedance Spectroscopy (CROSBI ID 271126)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Pereverzev, Sergei V. ; Solodky, Sergiy G. ; Vasylyk, Vitalii B. ; Žic, Mark
engleski
Regularized Collocation in Distribution of Diffusion Times Applied to Electrochemical Impedance Spectroscopy
This paper is inspired by recently proposed approach for interpreting data of Electrochemical Impedance Spectroscopy (EIS) in terms of Distribution of Diffusion Times (DDT). Such an interpretation requires to solve a Fredholm integral equation of the first kind, which may have a non-square-integrable kernel. We consider a class of equations with above- mentioned peculiarity and propose to regularize them in weighted functional spaces. One more issue associated with DDT-problem is that EIS data are available only for a finite number of frequencies. Therefore, a regularization should unavoidably be combined with a collocation. In this paper we analyze a regularized collocation in weighted spaces and propose a scheme for its numerical implementation. The performance of the proposed scheme is illustrated by numerical experiments with synthetic data mimicking EIS measurements.
Regularized Collocation ; Weighted Norms ; Electrochemical Impedance Spectroscopy ; Distribution of Diffusion Times
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Podaci o izdanju
20 (3)
2019.
517-530
objavljeno
1609-4840
1609-9389
10.1515/cmam-2019-0111