Journal of Applied Mathematics
Volume 2012 (2012), Article ID 370894, 12 pages
Research Article

Fixed-Point Iterative Algorithm for the Linear Fredholm-Volterra Integro-Differential Equation

Departamento de Matemática Aplicada, E.T.S. de Ingeniería de Edificación, Universidad de Granada, 18071 Granada, Spain

Received 23 March 2012; Revised 30 April 2012; Accepted 1 May 2012

Academic Editor: Rudong Chen

Copyright © 2012 M. I. Berenguer et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


With the aid of fixed-point theorem (an equivalent version for the linear case) and biorthogonal systems in adequate Banach spaces, the problem of approximating the solution of a linear Fredholm-Volterra integro-differential equation is turned into a numerical algorithm, so that it can be solved numerically.