On quadrature formulas for singular integral equations of the first and the second kind-Reference-Cited by-同舟云学术

On quadrature formulas for singular integral equations of the first and the second kind

Published:1975 Issue:3 Volume:33 Page:225-232
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Krenk Steen

Abstract

In this paper it is shown that by proper choice of the collocation points singular integral equations of the first and the second kind can be integrated by use of the usual Gauss-Jacobi quadrature formula. Detailed formulas are given for various values of the index.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1975-33-03/S0033-569X-1975-0448967-5/S0033-569X-1975-0448967-5.pdf

Reference8 articles.

1. On the numerical solution of singular integral equations;Erdogan, F.;Quart. Appl. Math.,1971

2. Numerical solution of singular integral equations;Erdogan, F.,1973

3. Singular Integral Equations

4. On the finite Hilbert transformation;Tricomi, F. G.;Quart. J. Math. Oxford Ser. (2),1951

5. M. Abramowitz and I. A. Stegun, Handbook of mathematical functions, Dover Publications, Inc., New York, 1965

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