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Modelling and Simulation in Engineering
Volume 2013, Article ID 746351, 6 pages
http://dx.doi.org/10.1155/2013/746351
Research Article

The Telegraph Equation and Its Solution by Reduced Differential Transform Method

1ISRO Telemetry, Tracking and Command Network (ISTRAC), Bangalore 560058, India
2Department of Mathematics, University of Petroleum and Energy Studies, Dehradun 248007, India
3The ICFAI University, Jaipur 302031, India
4Department of Mathematics, Graphic Era University, Dehradun 248002, India

Received 18 May 2013; Revised 8 July 2013; Accepted 7 August 2013

Academic Editor: Ahmed Rachid

Copyright © 2013 Vineet K. Srivastava 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

One-dimensional second-order hyperbolic telegraph equation was formulated using Ohm’s law and solved by a recent and reliable semianalytic method, namely, the reduced differential transform method (RDTM). Using this method, it is possible to find the exact solution or a closed approximate solution of a differential equation. Three numerical examples have been carried out in order to check the effectiveness, the accuracy, and convergence of the method. The RDTM is a powerful mathematical technique for solving wide range of problems arising in science and engineering fields.