L(P)-APPROXIMATION METHOD FOR THE NUMERICAL-SOLUTION OF SINGULAR INTEGRAL-EQUATIONS

Authors
DEKLERK JH EYRE D VENTER LM
Citation
Jh. Deklerk et al., L(P)-APPROXIMATION METHOD FOR THE NUMERICAL-SOLUTION OF SINGULAR INTEGRAL-EQUATIONS, Applied mathematics and computation, 72(2-3), 1995, pp. 285-300
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
72
Issue
2-3
Year of publication
1995
Pages
285 - 300
Database
ISI
SICI code
0096-3003(1995)72:2-3<285:LMFTNO>2.0.ZU;2-4
Abstract
This paper describes a numerical approach for obtaining the solution o f singular integral equations using an L(p)-approximation method. The basic elements of this approach are a minimization with respect to a s et of parameters in a function chosen to represent the solution of the integral equation and a numerical integration to evaluate the L(p)-no rm. Attention is given to different values of p greater than or equal to 1. The performance of the numerical procedures is investigated by s olving a number of test problems.