On the numerical solution of Fredholm integral equations on unbounded intervals
type: Item
instance of: scholarly article
title: On the numerical solution of Fredholm integral equations on unbounded intervals
zbMATH Open document ID: 1032.65143
DOI: 10.1016/S0377-0427(03)00453-9
author: C. Laurita
author: Giuseppe Mastroianni
author: Carmelina Frammartino
published in: Journal of Computational and Applied Mathematics
publication date: 2003-10-15T00:00:00Z
review text: The authors investigate the numerical solution of the Fredholm integral equation of the second kind \[ f(y)-\lambda \int_{-\infty}^{\infty}k(x,y)f(x)w(x) dx= g(y), \quad y\in{ \mathbb R}, \] where \(\lambda\) is a real number, \(k(x,y)\) and \(g(x)\) are known functions, \(w(x)=e^{-x^2}\) is the Hermite weight and \(f(x)\) is an unknown function. Projection methods are used and examples are illustrated.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 1993220
zbMATH Keywords: Fredholm integral equation of the second kind
zbMATH Keywords: condition number
zbMATH Keywords: projection method
zbMATH Keywords: Lagrange interpolation
reviewed by: Chuangan Hu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1993220