Title
Application of wavelet-basis for solution of the fredholm type integral equations
Abstract
The paper deals with the application of periodic wavelts as basis functions for solution of the Fredholm type integral equations. We examine a special case for a degenerate kernel and show multiscale solution of an integral equation for a non-degenerate kernel. The benefits of the application of periodic harmonic wavelets are discussed. The approximation error of projection of solution on the space of periodized wavelets is analytically estimated.
Year
DOI
Venue
2010
10.1007/978-3-642-12165-4_13
ICCSA
Keywords
Field
DocType
fredholm type,multiscale solution,paper deal,periodic wavelts,approximation error,basis function,non-degenerate kernel,periodized wavelet,periodic harmonic wavelet,integral equation,integro differential equation,collocation method,fredholm integral equation,decomposition
Summation equation,Mathematical optimization,Mathematical analysis,Fredholm integral equation,Integral equation,Basis function,Collocation method,Fredholm theory,Integral transform,Mathematics,Volterra integral equation
Conference
Volume
ISSN
ISBN
6017
0302-9743
3-642-12164-0
Citations 
PageRank 
References 
1
0.35
1
Authors
2
Name
Order
Citations
PageRank
Carlo Cattani19226.22
A. Kudreyko2132.56