Theoretical and numerical results about some weakly singular Volterra-Fredholm equations
In this paper existence, uniqueness results for the solution of some weakly singular linear Volterra and Volterra-Fredholm integral equations are given. For these equations, a numerical model is proposed and its convergence and rate of convergence are analyzed. Numerical results on some polynomial t...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Publishing House of the Romanian Academy
2008-02-01
|
Series: | Journal of Numerical Analysis and Approximation Theory |
Subjects: | |
Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/872 |
_version_ | 1818197163192090624 |
---|---|
author | F. Calió E. Marchetti V. Mureșan |
author_facet | F. Calió E. Marchetti V. Mureșan |
author_sort | F. Calió |
collection | DOAJ |
description | In this paper existence, uniqueness results for the solution of some weakly singular linear Volterra and Volterra-Fredholm integral equations are given. For these equations, a numerical model is proposed and its convergence and rate of convergence are analyzed. Numerical results on some polynomial test functions are given. |
first_indexed | 2024-12-12T01:45:36Z |
format | Article |
id | doaj.art-585bef2cc48840449654aaea602bf493 |
institution | Directory Open Access Journal |
issn | 2457-6794 2501-059X |
language | English |
last_indexed | 2024-12-12T01:45:36Z |
publishDate | 2008-02-01 |
publisher | Publishing House of the Romanian Academy |
record_format | Article |
series | Journal of Numerical Analysis and Approximation Theory |
spelling | doaj.art-585bef2cc48840449654aaea602bf4932022-12-22T00:42:35ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2008-02-01371Theoretical and numerical results about some weakly singular Volterra-Fredholm equationsF. Calió0E. Marchetti1V. Mureșan2Politecnico di MilanoPolitecnico di MilanoTechnical University of Cluj-NapocaIn this paper existence, uniqueness results for the solution of some weakly singular linear Volterra and Volterra-Fredholm integral equations are given. For these equations, a numerical model is proposed and its convergence and rate of convergence are analyzed. Numerical results on some polynomial test functions are given.https://www.ictp.acad.ro/jnaat/journal/article/view/872weakly singular integral equationsfixed pointscollocation method |
spellingShingle | F. Calió E. Marchetti V. Mureșan Theoretical and numerical results about some weakly singular Volterra-Fredholm equations Journal of Numerical Analysis and Approximation Theory weakly singular integral equations fixed points collocation method |
title | Theoretical and numerical results about some weakly singular Volterra-Fredholm equations |
title_full | Theoretical and numerical results about some weakly singular Volterra-Fredholm equations |
title_fullStr | Theoretical and numerical results about some weakly singular Volterra-Fredholm equations |
title_full_unstemmed | Theoretical and numerical results about some weakly singular Volterra-Fredholm equations |
title_short | Theoretical and numerical results about some weakly singular Volterra-Fredholm equations |
title_sort | theoretical and numerical results about some weakly singular volterra fredholm equations |
topic | weakly singular integral equations fixed points collocation method |
url | https://www.ictp.acad.ro/jnaat/journal/article/view/872 |
work_keys_str_mv | AT fcalio theoreticalandnumericalresultsaboutsomeweaklysingularvolterrafredholmequations AT emarchetti theoreticalandnumericalresultsaboutsomeweaklysingularvolterrafredholmequations AT vmuresan theoreticalandnumericalresultsaboutsomeweaklysingularvolterrafredholmequations |