Naslov
Regularized Collocation in Distribution of Diffusion Times Applied to Electrochemical Impedance Spectroscopy

Autori
Pereverzev, Sergei V. ; Solodky, Sergiy G. ; Vasylyk, Vitalii B. ; Žic, Mark

Izvornik
Computational methods in applied mathematics (1609-4840) 20 (2019), 3; 517-530

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Regularized Collocation ; Weighted Norms ; Electrochemical Impedance Spectroscopy ; Distribution of Diffusion Times

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Kemija

POVEZANOST RADA