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

      P VEERESHA D G PRAKASHA HACI MEHMET BASKONUS

      Research Article Volume 93 Issue 5 November 2019 Article ID 0075

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/093/05/0075

    • Keywords

       

      $q$-Homotopy analysis transform method; polytropic gas; Laplace transform

    • 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 andthe 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.

    • Author Affiliations

       

      P VEERESHA1 D G PRAKASHA2 HACI MEHMET BASKONUS3

      1. Department of Mathematics, Karnatak University, Dharwad 580 003, India
      2. Department of Mathematics, Faculty of Science, Davangere University, Shivagangothri, Davangere 577 007, India
      3. Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, Turkey

    • Dates

       
      Published
      1 November 2019
      Manuscript received
      2 February 2019
      Manuscript revised
      26 April 2019
      Accepted
      22 May 2019
      Early published
      Unedited version published online
      Final version published online
      14 August 2019

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