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A homotopy technique for a fractional order multi-dimensional telegraph equation via the Laplace transform

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Abstract.

An effective analytical technique, called q-homotopy analysis transform method (q-HATM) is demonstrated in order to analyse a fractional model of telegraph equations. Test examples are illustrated to inspect the efficiency of the proposed technique. Numerical solutions are obtained in the form of series. Also, its convergence condition, error estimate and numerical simulation results are discussed. The q-HATM handles and controls a series solution that speedily converges to exact result in a small admissible domain efficiently.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, 136119, Kurukshetra, India

    Amit Prakash

  2. Department of Mathematics, Karnataka University, 580003, Dharwad, India

    P. Veeresha & D. G. Prakasha

  3. Department of Mathematics, IAH, GLA University, 281406, Mathura, India

    Manish Goyal

Authors
  1. Amit Prakash
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  2. P. Veeresha
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  3. D. G. Prakasha
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  4. Manish Goyal
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Correspondence to Amit Prakash.

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Prakash, A., Veeresha, P., Prakasha, D.G. et al. A homotopy technique for a fractional order multi-dimensional telegraph equation via the Laplace transform. Eur. Phys. J. Plus 134, 19 (2019). https://doi.org/10.1140/epjp/i2019-12411-y

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