A projection method with smoothing transformation for second kind Volterra integral equations

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.

Occorsio D., Fermo L. (2021) "A projection method with smoothing transformation for second kind Volterra integral equations " Dolomites Research Notes on Approximation, 14(1), 12-26. DOI: 10.14658/PUPJ-DRNA-2021-1-2  
Year of Publication
2021
Journal
Dolomites Research Notes on Approximation
Volume
14
Issue Number
1
Start Page
12
Last Page
26
Date Published
01/2021
ISSN Number
2035-6803
Serial Article Number
2
DOI
10.14658/PUPJ-DRNA-2021-1-2
Issue
Section
Articles