• A new efficient technique for solving fractional coupled Navier–Stokes equations using q-homotopy analysis transform method

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      https://www.ias.ac.in/article/fulltext/pram/093/01/0006

    • Keywords

       

      Navier–Stokes equations; q-homotopy analysis transform method; Caputo fractional derivative; Laplace transform; homotopy analysis method

    • Abstract

       

      In this paper, a solution of coupled fractional Navier–Stokes equation is computed numerically using the proposed q-homotopy analysis transform method (q-HATM), and the solution is found in fast convergent series.The given test examples illustrate the leverage and effectiveness of the proposed technique. The obtained results are demonstrated graphically. The present method handles the series solution in a large admissible domain in an extreme manner. It offers us a modest way to adjust the convergence region of the solution. Results with graphs explicitly reveal the efficiency and capability of the proposed algorithm.

    • Author Affiliations

       

      AMIT PRAKASH1 P VEERESHA2 D G PRAKASHA2 MANISH GOYAL3

      1. Department of Mathematics, National Institute of Technology, Kurukshetra 136 119, India
      2. Department of Mathematics, Karnataka University, Dharwad 580 003, India
      3. Department of Mathematics, IAH, GLA University, Mathura 281 406, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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