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...

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Main Authors: F. Calió, E. Marchetti, V. Mureșan
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
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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.
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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