In this paper we present a projection method for linear second kind Volterra integral equations with kernels having weak diagonal and/or boundary singularities of algebraic type. The proposed approach is based on a specific optimal interpolation process and a smoothing transformation. The convergence of the method is proved in suitable spaces of functions, equipped with the uniform norm. Several tests show the accuracy of the presented method.
A projection method with smoothing transformation for second kind volterra integral equations
Fermo L.
;Occorsio D.
2021-01-01
Abstract
In this paper we present a projection method for linear second kind Volterra integral equations with kernels having weak diagonal and/or boundary singularities of algebraic type. The proposed approach is based on a specific optimal interpolation process and a smoothing transformation. The convergence of the method is proved in suitable spaces of functions, equipped with the uniform norm. Several tests show the accuracy of the presented method.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
paperDRNA.pdf
accesso aperto
Tipologia:
versione editoriale (VoR)
Dimensione
326.56 kB
Formato
Adobe PDF
|
326.56 kB | Adobe PDF | Visualizza/Apri |
I metadati presenti in IRIS UNICA sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono protetti da diritto d'autore, salvo diversa indicazione.
