On the numerical solution of Fredholm integral equations on unbounded intervals
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.
Fredholm integral equation of the second kind
scientific article; zbMATH DE number 1993220