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Journal of Function Spaces
Volume 2015, Article ID 758410, 10 pages
http://dx.doi.org/10.1155/2015/758410
Research Article

An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral Condition

Laboratory of Advanced Materials, Department of Mathematics, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria

Received 19 February 2015; Revised 23 April 2015; Accepted 23 April 2015

Academic Editor: Richard I. Avery

Copyright © 2015 A. Guezane-Lakoud 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.

Abstract

We apply the reproducing kernel Hilbert space (RKHS) method for getting analytical and approximate solutions for second-order hyperbolic integrodifferential equations with a weighted integral condition. The analytical solution is represented in the form of series; thus, the n-terms approximate solutions are obtained. The results of the numerical examples are compared with the exact solutions to illustrate the accuracy and the effectivity of this method.