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Numerical solution of fractional telegraph differential equations by theta-method

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Abstract

Difference schemes for theta method are constructed. Theta method is used to deal with fractional telegraph differential equation defined by Caputo fractional derivative for different values of θ = 0.1, 0.5, 0.9 and fractional orders α = 0.05, 0.1, 0.5, 0.9, 0.95. The stability of difference schemes for this problem is proved by matrix method and the stability of the exact solution is also given. Numerical results with respect to the exact solution confirm the accuracy and effectiveness of the proposed method.

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Authors and Affiliations

  1. Harran University, Faculty of Arts and Sciences, Department of Mathematics, Şanlıurfa, Turkey

    Mahmut Modanli & Ali Akgül

  2. Siirt University, Art and Science Faculty, Department of Mathematics, 56100, Siirt, Turkey

    Mahmut Modanli & Ali Akgül

Authors
  1. Mahmut Modanli
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  2. Ali Akgül
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Correspondence to Ali Akgül.

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Modanli, M., Akgül, A. Numerical solution of fractional telegraph differential equations by theta-method. Eur. Phys. J. Spec. Top. 226, 3693–3703 (2017). https://doi.org/10.1140/epjst/e2018-00088-6

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  • DOI: https://doi.org/10.1140/epjst/e2018-00088-6

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