Spectral approximation methods for Fredholm integral equations with non-smooth kernels

• Published in: Mathematical modelling and analysis Vol. 27; no. 4; pp. 652 - 667
• Main Authors: Allouch, Chafik, Sbibih, Driss, Tahrichi, Mohamed
• Format: Journal Article
• Language: English
• Published: Vilnius Vilnius Gediminas Technical University 10.11.2022
• Subjects: Approximation; Approximation theory; Fredholm equations; Fredholm integral equation; Green's functions; Integral equations; interpolatory projection; Kernel functions; Kernels; Laboratories; Legendre polynomial; Mathematical analysis; Mathematical functions; Mathematical research; Methods; orthogonal projection; Polynomials; superconvergence; Morocco; orthogonal projection; Fredholm integral equation; Legendre polynomial; superconvergence; interpolatory projection

In this paper, polynomially based projection and modified projection methods for approximating the solution of Fredholm integral equations with a kernel of Green’s function type are studied. The projection is either an orthogonal projection or an interpolatory projection using Legendre polynomial ba...