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A high order method for non-smooth Fredholm equations

A high order method for non-smooth Fredholm equations In this paper, we deal with a class of the second kind of non-smooth Fredholm integral equations, which are related closely to Wiener-Hopf equations. Using Sloan's iterative technique, we obtain the superconvergent approximations. By means of the correction and collocation methods, we present a kind of iterative correction collocation approximations for this kind of equations, and show that this method is not only a high order and more simple method but also an adaptable one (see e.g. [11]). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

A high order method for non-smooth Fredholm equations

Acta Mathematicae Applicatae Sinica , Volume 13 (1) – Jul 16, 2005

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References (12)

Publisher
Springer Journals
Copyright
Copyright © 1997 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02020477
Publisher site
See Article on Publisher Site

Abstract

In this paper, we deal with a class of the second kind of non-smooth Fredholm integral equations, which are related closely to Wiener-Hopf equations. Using Sloan's iterative technique, we obtain the superconvergent approximations. By means of the correction and collocation methods, we present a kind of iterative correction collocation approximations for this kind of equations, and show that this method is not only a high order and more simple method but also an adaptable one (see e.g. [11]).

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 16, 2005

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