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

Jagdev Singh; Devendra Kumar; Sunil Kumar

doi:10.1007/s40314-020-01162-2

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

Jagdev Singh
, Devendra Kumar
, Sunil Kumar

JECRC University
University of Rajasthan
National Institute of Technology Jamshedpur

Research output: Contribution to journal › Article › peer-review

65 Scopus citations

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.

Original language	English
Article number	137
Journal	Computational and Applied Mathematics
Volume	39
Issue number	3
DOIs	https://doi.org/10.1007/s40314-020-01162-2
State	Published - 1 Sep 2020
Externally published	Yes

Keywords

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

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10.1007/s40314-020-01162-2

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title = "An efficient computational method for local fractional transport equation occurring in fractal porous media",

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.",

keywords = "Fractal porous media, Local fractional laplace transform, Local fractional transport equations, q-Local fractional homotopy analysis transform method",

author = "Jagdev Singh and Devendra Kumar and Sunil Kumar",

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doi = "10.1007/s40314-020-01162-2",

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T1 - An efficient computational method for local fractional transport equation occurring in fractal porous media

AU - Singh, Jagdev

AU - Kumar, Devendra

AU - Kumar, Sunil

PY - 2020/9/1

Y1 - 2020/9/1

N2 - 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.

AB - 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.

KW - Fractal porous media

KW - Local fractional laplace transform

KW - Local fractional transport equations

KW - q-Local fractional homotopy analysis transform method

UR - https://www.scopus.com/pages/publications/85084402173

U2 - 10.1007/s40314-020-01162-2

DO - 10.1007/s40314-020-01162-2

M3 - Article

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VL - 39

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

IS - 3

M1 - 137

ER -

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

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Keywords

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