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An efficient computational method for local fractional transport equation occurring in fractal porous media

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Abstract

The present article deals with the local fractional linear transport equations (LFLTE) in fractal porous media. LFLTE play a key role in different scientific problems such as aeronomy, superconductor, semiconductors, turbulence, gas mixture, plasma and biology. A numerical scheme namely q-local fractional homotopy analysis transform method (q-LFHATM) is applied to get the solution of LFLTE. The results obtained by using of q-LFHATM show that the proposed scheme is very suitable and easy to perform with high accuracy.

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Authors and Affiliations

  1. Department of Mathematics, JECRC University, Jaipur, Rajasthan, 303905, India

    Jagdev Singh

  2. Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan, 302004, India

    Devendra Kumar

  3. Department of Mathematics, National Institute of Technology, Jamshedpur, 831014, India

    Sunil Kumar

Authors
  1. Jagdev Singh
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  2. Devendra Kumar
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  3. Sunil Kumar
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Corresponding author

Correspondence to Devendra Kumar.

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Communicated by Jorge X. Velasco.

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Singh, J., Kumar, D. & Kumar, S. An efficient computational method for local fractional transport equation occurring in fractal porous media. Comp. Appl. Math. 39, 137 (2020). https://doi.org/10.1007/s40314-020-01162-2

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  • DOI: https://doi.org/10.1007/s40314-020-01162-2

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