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An efficient technique for a fractional-order system of equations describing the unsteady flow of a polytropic gas

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Abstract

In the present investigation, the q-homotopy analysis transform method (q-HATM) is applied to find approximated analytical solution for the system of fractional differential equations describing the unsteady flow of a polytropic gas. Numerical simulation has been conducted to prove that the proposed technique is reliable and accurate, and the outcomes are revealed using plots and tables. The comparison between the obtained solutions and the exact solutions shows that the proposed method is efficient and effective in solving nonlinear complex problems. Moreover, the proposed algorithm controls and manipulates the obtained series solution in a huge acceptable region in an extreme manner and it provides us a simple procedure to control and adjust the convergence region of the series solution.

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Authors and Affiliations

  1. Department of Mathematics, Karnatak University, Dharwad, 580 003, India

    P Veeresha

  2. Department of Mathematics, Faculty of Science, Davangere University, Shivagangothri, Davangere, 577 007, India

    D G Prakasha

  3. Department of Mathematics and Science Education, Faculty of Education, Harran University, Şanliurfa, Turkey

    Haci Mehmet Baskonus

Authors
  1. P Veeresha
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  2. D G Prakasha
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  3. Haci Mehmet Baskonus
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Correspondence to D G Prakasha.

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Veeresha, P., Prakasha, D.G. & Baskonus, H.M. An efficient technique for a fractional-order system of equations describing the unsteady flow of a polytropic gas. Pramana - J Phys 93, 75 (2019). https://doi.org/10.1007/s12043-019-1829-9

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  • DOI: https://doi.org/10.1007/s12043-019-1829-9

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