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The Scientific World Journal
Volume 2014, Article ID 340752, 9 pages
Research Article

Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs

1Department of Computer Engineering, Islamic Azad University, Science and Research Branch, Tehran, Iran
2Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Shahed University, Tehran, Iran

Received 13 April 2014; Revised 20 October 2014; Accepted 27 October 2014; Published 16 November 2014

Academic Editor: Zacharias Anastassi

Copyright © 2014 A. Pirkhedri 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.


The present study investigates the Haar-Sinc collocation method for the solution of the hyperbolic partial telegraph equations. The advantages of this technique are that not only is the convergence rate of Sinc approximation exponential but the computational speed also is high due to the use of the Haar operational matrices. This technique is used to convert the problem to the solution of linear algebraic equations via expanding the required approximation based on the elements of Sinc functions in space and Haar functions in time with unknown coefficients. To analyze the efficiency, precision, and performance of the proposed method, we presented four examples through which our claim was confirmed.