A projection method with smoothing transformation for second kind Volterra integral equations
| Title | A projection method with smoothing transformation for second kind Volterra integral equations |
| Publication Type | Journal Article |
| Year of Publication | 2021 |
| Authors | Fermo, L, Occorsio, D |
| Journal | Dolomites Research Notes on Approximation |
| Volume | 14 |
| Issue | 1 |
| Pagination | 12-26 |
| Date Published | 01/2021 |
| Publisher | Padova University Press |
| Place Published | Padova, IT |
| ISSN Number | 20356803 |
| 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. |
| URL | https://drna.padovauniversitypress.it/2021/1/2 |
| DOI | 10.14658/pupj-drna-2021-1-2 |
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