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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

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A New Semi-Analytical Solution of the Telegraph Equation with Integral Condition

S. Abbasbandy
  • Department of Mathematics, Imam Khomeini International University, Ghazvin 34149, Iran
  • :
/ H. Roohani Ghehsarehb
  • Young Researchers Club, Buin Zahra Branch, Islamic Azad University, Buin Zahra, Iran
Published Online: 2014-06-02 | DOI: https://doi.org/10.5560/zna.2011-0046

In the current work, the telegraph equation in its general form and with an integral condition is investigated. Also the well-known homotopy analysis method (HAM) is applied and an interesting iterative algorithm is proposed for solving the problem in general form. Some numerical examples are given and compared with the exact solution to show the effectiveness of the proposed method.

Keywords: Telegraph Equation; Linear and Nonlinear Forcing; Nonlocal Boundary Condition; Series Solution; Integral Condition; Homotopy Analysis Method.

Received: 2011-03-10

Revised: 2011-07-31

Published Online: 2014-06-02

Published in Print: 2011-12-01

Citation Information: Zeitschrift für Naturforschung A. Volume 66, Issue 12, Pages 760–768, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.5560/zna.2011-0046, June 2014

© 1946 – 2014: Verlag der Zeitschrift für Naturforschung. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

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