Title of article :
Application of the discrete Fourier transform to solving the Cauchy integral equation
Author/Authors :
Kolybasova، نويسنده , , V.V. and Krutitskii، نويسنده , , P.A. and Prozorov، نويسنده , , K.V. and Vainikko، نويسنده , , G.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Pages :
9
From page :
1317
To page :
1325
Abstract :
The uniquely solvable system of the Cauchy integral equation of the first kind and index 1 and an additional integral condition is 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.
Keywords :
singular integral equation , Fast solver , Numerical Method , Discrete Fourier Transform
Journal title :
Journal of Computational and Applied Mathematics
Serial Year :
2011
Journal title :
Journal of Computational and Applied Mathematics
Record number :
1556041
Link To Document :
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