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

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...

Full description

Saved in:
Bibliographic Details
Published inMathematical modelling and analysis Vol. 27; no. 4; pp. 652 - 667
Main Authors Allouch, Chafik, Sbibih, Driss, Tahrichi, Mohamed
Format Journal Article
LanguageEnglish
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
Online AccessGet full text

Cover

More Information
Summary: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 basis. The orders of convergence of these methods and those of superconvergence of the iterated versions are analysed. A numerical example is given to illustrate the theoretical results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2022.16029