Numerical treatment of the Cauchy integral equation by discrete Fourier transform

The uniquely solvable system of the Cauchy integral equation of the first kind and index 1 and an additional integral condition are treated. Such a system arises, for example, when solving the skew derivative problem for the Laplace equation outside an open arc in a plane. This problem models the el...

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Vydané v:International journal for numerical methods in biomedical engineering Ročník 27; číslo 7; s. 1096 - 1106
Hlavní autori: Kolybasova, Valentina, Krutitskii, Pavel, Prozorov, Konstantin, Vainikko, Gennadi
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Chichester, UK John Wiley & Sons, Ltd 01.07.2011
Predmet:
Convergence
Derivatives
discrete Fourier transform
Electrodes
Fourier transforms
Integral equations
Mathematical models
Numerical analysis
numerical method
Semiconductors
singular integral equation
ISSN:2040-7939, 2040-7947, 2040-7947
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Shrnutí:The uniquely solvable system of the Cauchy integral equation of the first kind and index 1 and an additional integral condition are treated. Such a system arises, for example, when solving the skew derivative problem for the Laplace equation outside an open arc in a plane. This problem models the electric current from a thin electrode in a semiconductor film placed in a magnetic field. A fast and accurate numerical method based on the discrete Fourier transform is proposed. Some computational tests are given. It is shown that the convergence is close to exponential. Copyright © 2009 John Wiley & Sons, Ltd.
Bibliografia:Russian Science Support Foundation
Russian Foundation for Basic Research - No. 08-01-00082
ArticleID:CNM1336
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ark:/67375/WNG-WW84Z095-W
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:2040-7939
2040-7947
2040-7947
DOI:10.1002/cnm.1336