A sequential approach for solving the Fredholm integro-differential equation

A numerical approximation method for the solution of Fredholm integro-differential equations is presented. The method provides a sequential solution and makes use of appropriate Schauder bases in adequate Banach spaces of continuous functions as well as of classical fixed-point results. The method i...

Full description

Saved in:
Bibliographic Details
Published inApplied numerical mathematics Vol. 62; no. 4; pp. 297 - 304
Main Authors Berenguer, M.I., Fernández Muñoz, M.V., Garralda-Guillem, A.I., Ruiz Galán, M.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.04.2012
Subjects
Accuracy
Approximation
Banach space
Computation
Fredholm integro-differential equation
Mathematical analysis
Mathematical models
Numerical methods
Schauder bases
Fredholm integro-differential equation
Numerical methods
Schauder bases
Online AccessGet full text

Cover

More Information
Summary:A numerical approximation method for the solution of Fredholm integro-differential equations is presented. The method provides a sequential solution and makes use of appropriate Schauder bases in adequate Banach spaces of continuous functions as well as of classical fixed-point results. The method is computationally attractive and some numerical examples are provided to illustrate its high accuracy.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0168-9274
1873-5460
DOI:10.1016/j.apnum.2011.03.009