THERMAL SCIENCE

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Li-Mei Yan

MODIFIED HOMOTOPY PERTURBATION METHOD COUPLED WITH LAPLACE TRANSFORM FOR FRACTIONAL HEAT TRANSFER AND POROUS MEDIA EQUATIONS

ABSTRACT
The purpose of this paper is to extend the homotopy perturbation method to fractional heat transfer and porous media equations with the help of the Laplace transform. The fractional derivatives described in this paper are in the Caputo sense. The algorithm is demonstrated to be direct and straightforward, and can be used for many other non-linear fractional differential equations.
KEYWORDS
homotopy perturbation method, laplace transform, Caputo derivative, heat transfer equation, porous media equation
PAPER SUBMITTED: 2013-01-16
PAPER REVISED: 2013-04-26
PAPER ACCEPTED: 2013-04-27
PUBLISHED ONLINE: 2013-12-28
DOI REFERENCE: https://doi.org/10.2298/TSCI1305409Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE Issue 5, PAGES [1409 - 1414]
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Modified homotopy perturbation method coupled with Laplace transform for fractional heat transfer and porous media equations

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