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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board Member: Fetecau, Corina / Kiefer, Claus / Röpke, Gerd / Steeb, Willi-Hans

12 Issues per year


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Online
ISSN
1865-7109
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Volume 66, Issue 12 (Dec 2011)

Issues

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

S. Abbasbandy
  • Corresponding author
  • Department of Mathematics, Imam Khomeini International University, Ghazvin 34149, Iran
  • Email:
/ 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.

About the article

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, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.5560/zna.2011-0046. Export Citation

© 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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[1]
S. Abbasbandy, H. Roohani Ghehsareh, I. Hashim, and A. Alsaedi
Engineering Analysis with Boundary Elements, 2014, Volume 47, Page 10

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