IMA Journal of Numerical Analysis Advance Access originally published online on November 20, 2008
IMA Journal of Numerical Analysis 2009 29(4):1046-1066; doi:10.1093/imanum/drn056
| ||||||||||||||||||||||||||||||||||||||||||||||||
Some numerical methods for second-kind Fredholm integral equations on the real semiaxis
Department of Mathematics, University of Basilicata, Viale dell'Ateneo Lucano n. 10, 85100 Potenza, Italy


Faculty of Computer Sciences, Megatrend University Belgrade, Bulevar umetnosti 29, 11070 Novi Beograd, Serbia
Email: gom{at}megatrend-edu.net
Received on 14 April 2007. Revised on 19 December 2007.
| Abstract |
|---|
In this paper we introduce some numerical methods for solving Fredholm integral equations of the second kind on the real semiaxis and prove that the proposed procedures are stable and convergent. Error estimates and numerical tests are also included.
Key Words: Fredholm integral equation; kernel; generalized Laguerre weight function; Lagrange interpolation; Nyström interpolation; Gaussian quadrature formula; orthogonal polynomials; truncation; error estimate