Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind

Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind

In this work we use analytical tools—Schauder bases and Geometric Series theorem—in order to develop a new method for the numerical resolution of the linear Volterra integral equation of the second kind.

Bibliographic Details
Main Authors: M. I. Berenguer, D. Gámez, A. I. Garralda-Guillem, M. Ruiz Galán, M. C. Serrano Pérez
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2009/149367
id doaj-9c65f23552494d2e804d5fd2dfa0848f
record_format Article
spelling doaj-9c65f23552494d2e804d5fd2dfa0848f2020-11-24T23:37:15ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/149367149367Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second KindM. I. Berenguer0D. Gámez1A. I. Garralda-Guillem2M. Ruiz Galán3M. C. Serrano Pérez4E.U. Arquitectura Técnica, Departamento de Matemática Aplicada, Universidad de Granada, c/Severo Ochoa s/n, 18071 Granada, SpainE.U. Arquitectura Técnica, Departamento de Matemática Aplicada, Universidad de Granada, c/Severo Ochoa s/n, 18071 Granada, SpainE.U. Arquitectura Técnica, Departamento de Matemática Aplicada, Universidad de Granada, c/Severo Ochoa s/n, 18071 Granada, SpainE.U. Arquitectura Técnica, Departamento de Matemática Aplicada, Universidad de Granada, c/Severo Ochoa s/n, 18071 Granada, SpainE.U. Arquitectura Técnica, Departamento de Matemática Aplicada, Universidad de Granada, c/Severo Ochoa s/n, 18071 Granada, SpainIn this work we use analytical tools—Schauder bases and Geometric Series theorem—in order to develop a new method for the numerical resolution of the linear Volterra integral equation of the second kind.http://dx.doi.org/10.1155/2009/149367
collection DOAJ
language English
format Article
sources DOAJ
author M. I. Berenguer
D. Gámez
A. I. Garralda-Guillem
M. Ruiz Galán
M. C. Serrano Pérez
spellingShingle M. I. Berenguer
D. Gámez
A. I. Garralda-Guillem
M. Ruiz Galán
M. C. Serrano Pérez
Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind
Abstract and Applied Analysis
author_facet M. I. Berenguer
D. Gámez
A. I. Garralda-Guillem
M. Ruiz Galán
M. C. Serrano Pérez
author_sort M. I. Berenguer
title Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind
title_short Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind
title_full Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind
title_fullStr Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind
title_full_unstemmed Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind
title_sort analytical techniques for a numerical solution of the linear volterra integral equation of the second kind
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2009-01-01
description In this work we use analytical tools—Schauder bases and Geometric Series theorem—in order to develop a new method for the numerical resolution of the linear Volterra integral equation of the second kind.
url http://dx.doi.org/10.1155/2009/149367
work_keys_str_mv AT miberenguer analyticaltechniquesforanumericalsolutionofthelinearvolterraintegralequationofthesecondkind
AT dgamez analyticaltechniquesforanumericalsolutionofthelinearvolterraintegralequationofthesecondkind
AT aigarraldaguillem analyticaltechniquesforanumericalsolutionofthelinearvolterraintegralequationofthesecondkind
AT mruizgalan analyticaltechniquesforanumericalsolutionofthelinearvolterraintegralequationofthesecondkind
AT mcserranoperez analyticaltechniquesforanumericalsolutionofthelinearvolterraintegralequationofthesecondkind
_version_ 1725520876812632064

Similar Items