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

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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.

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Acknowledgements

The authors are thankful to the reviewers and the editor for their valuable suggestions and comments to improve the quality of the paper.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Kurukshetra,  136 119, India

    Amit Prakash

  2. Department of Mathematics, Karnataka University, Dharwad,  580 003, India

    P Veeresha & D G Prakasha

  3. Department of Mathematics, IAH, GLA University, Mathura,  281 406, 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 D G Prakasha.

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Prakash, A., Veeresha, P., Prakasha, D.G. et al. A new efficient technique for solving fractional coupled Navier–Stokes equations using q-homotopy analysis transform method. Pramana - J Phys 93, 6 (2019). https://doi.org/10.1007/s12043-019-1763-x

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  • DOI: https://doi.org/10.1007/s12043-019-1763-x

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