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ISRN Computational Mathematics
Volume 2012 (2012), Article ID 139514, 5 pages
doi:10.5402/2012/139514
Research Article
On Some Volterra and Fredholm Problems via the Unified Integrodifferential Quadrature Method
Laboratory of Applied Mathematics, Mohamed Khider University of Biskra, BP145, 07000 Biskra, Algeria
Received 6 September 2011; Accepted 20 October 2011
Academic Editors: V. Rai and K. Wang
Copyright © 2012 Abdelwahab Zerarka 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 present a new approach based on the formulation of the integrodifferential quadrature method (hereafter called IDQ) to handle Volterra's and Fredholm's equations. This approach is constructed and tested with some realistic numerical examples using the basic computational aspects.