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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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
Keywords
- Local fractional transport equations
- Fractal porous media
- q-Local fractional homotopy analysis transform method
- Local fractional laplace transform