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IMA Journal of Numerical Analysis Advance Access published online on November 20, 2008
IMA Journal of Numerical Analysis, doi:10.1093/imanum/drn056
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© The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Some numerical methods for second-kind Fredholm integral equations on the real semiaxis

Giuseppe Mastroianni

Department of Mathematics, University of Basilicata, Viale dell'Ateneo Lucano n. 10, 85100 Potenza, Italy

Gradimir V. Milovanovic{dagger}

Faculty of Computer Sciences, Megatrend University Belgrade, Bulevar umetnosti 29, 11070 Novi Beograd, Serbia

{dagger} Corresponding author. 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


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