Numerical solution of integral equations with a logarithmic kernel by the method of arbitrary collocation points
作者:
A. C. Chrysakis,
G. Tsamasphyros,
期刊:
International Journal for Numerical Methods in Engineering
(WILEY Available online 1992)
卷期:
Volume 33,
issue 1
页码: 143-148
ISSN:0029-5981
年代: 1992
DOI:10.1002/nme.1620330110
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractAn integral equation whose kernel presents logarithmic singularity is numerically solved by the method of arbitrary collocation points (ACP). As a first step a Gaussian quadrature of ordern(hence of polynomial accuracy 2n− 1) is employed for the numerical approximation of the integral. Until now the collocation, which follows, was performed on special points x̄k, determined as roots of appropriate transcedental functions, in order to retain the 2n− 1 degree of polynomial accuracy of the Gaussian quadrature. In this paper an appropriate interpolatory technique is proposed, so thatxkmay be arbitrary and yet the high (2n− 1) accuracy of the Gaussian quadrature is re
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