THERMAL SCIENCE

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Sheng-Ping Yan

LOCAL FRACTIONAL LAPLACE SERIES EXPANSION METHOD FOR DIFFUSION EQUATION ARISING IN FRACTAL HEAT TRANSFER

ABSTRACT
In this article, we first propose the local fractional Laplace series expansion method, which is a coupling method of series expansion method and Laplace transform via local fractional differential operator. An illustrative example for handling the diffusion equation arising in fractal heat transfer is given.
KEYWORDS
analytical solution, diffusion equation, heat transfer, Laplace series expansion method, laplace transform
PAPER SUBMITTED: 2014-05-30
PAPER REVISED: 2015-01-21
PAPER ACCEPTED: 2015-02-13
PUBLISHED ONLINE: 2015-05-30
DOI REFERENCE: https://doi.org/10.2298/TSCI141010063Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement 1, PAGES [S131 - S135]
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Local fractional Laplace series expansion method for diffusion equation arising in fractal heat transfer

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