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International Journal of Mathematics and Mathematical Sciences
Volume 2013 (2013), Article ID 486013, 9 pages
Research Article

Fibonacci Collocation Method for Solving High-Order Linear Fredholm Integro-Differential-Difference Equations

Department of Mathematics, Celal Bayar University, Muradiye, 45140 Manisa, Turkey

Received 8 May 2013; Accepted 27 June 2013

Academic Editor: Irena Lasiecka

Copyright © 2013 Ayşe Kurt 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.


A new collocation method based on the Fibonacci polynomials is introduced for the approximate solution of high order-linear Fredholm integro-differential-difference equations with the mixed conditions. The proposed method is analyzed to show the convergence of the method. Some further numerical experiments are carried out to demonstrate the method.