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.

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Bibliographic Details
Published in:Abstract and Applied Analysis 2009-01, Vol.2009 (1), p.85-96
Main Authors: M. I. Berenguer, D. Gamez, A. I. Garralda-Guillem, M. Ruiz Galan, M. C. Serrano Perez
Format: Article
Language:English
Subjects:
Algorithms
Banach spaces
Integral equations
Mathematical functions
Mathematical models
Methods
Numerical analysis
Studies
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Summary: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2009/149367