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.
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/149367 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549531023048704 |
|---|---|
| author | M. I. Berenguer D. Gámez A. I. Garralda-Guillem M. Ruiz Galán M. C. Serrano Pérez |
| author_facet | M. I. Berenguer D. Gámez A. I. Garralda-Guillem M. Ruiz Galán M. C. Serrano Pérez |
| author_sort | M. I. Berenguer |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-9c65f23552494d2e804d5fd2dfa0848f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9c65f23552494d2e804d5fd2dfa0848f2025-02-03T06:11:02ZengWileyAbstract 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 |
| 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 |
| title | 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_short | 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 |
| 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 |