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Analytical Solution of Second-Order Hyperbolic Telegraph Equation by Variational Iteration and Homotopy Perturbation Methods

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Abstract

In this research, two analytical methods, namely homotopy perturbation method and variational iteration method are introduced to obtain solutions of the initial value problem of hyperbolic type which is called telegraph equation. Some illustrative examples are presented to show the efficiency of the methods.

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Authors and Affiliations

  1. Department of Mathematics, Islamic Azad University, Kermanshah Branch, 6718997551, Kermanshah, Iran

    Behrouz Raftari

  2. Department of Mathematics, Ege University, 35100, Bornova-Izmir, Turkey

    Ahmet Yildirim

Authors
  1. Behrouz Raftari
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  2. Ahmet Yildirim
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Correspondence to Ahmet Yildirim.

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This work was completed with the support of our \({{\rm T}_{\rm E}{\rm X}}\)-pert.

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Raftari, B., Yildirim, A. Analytical Solution of Second-Order Hyperbolic Telegraph Equation by Variational Iteration and Homotopy Perturbation Methods. Results. Math. 61, 13–28 (2012). https://doi.org/10.1007/s00025-010-0072-y

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  • DOI: https://doi.org/10.1007/s00025-010-0072-y

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