Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (3): 289-302.

• Articles •     Next Articles

THE COLLOCATION METHODS FOR SINGULAR
INTEGRAL EQUATIONS WITH CAUCHY KERNELS

 DU Jin-Yuan   

  1. Department of Mathematics, Wuhan University, Wuhan 430072, China
  • Received:1998-09-01 Online:2000-05-20 Published:2000-05-20
  • Supported by:

    Supported by NNSF of China,SF of SEC of China and SF of Wuhan University.

Abstract:

This paper applies the singular quadrature operators and discretization matrices
associated withsingular integral equations with Cauchy kernels, which are established in
[1],to give a unified framework for various collocation methods of numericalsolutions of
singular integral equations with Cauchy kernels. Under theframework, the coincidence
of the direct quadrature method and the indirectquadrature method is very simple and
obvious.

Key words: Direct collocation methods, indirect collocationmethods, coincidence tech-
nique

CLC Number: 

  • 45E05
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