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.
Application of wavelet-basis for solution of the Fredholm type integral equations
CATTANI, Carlo;
2010-01-01
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
