THERMAL SCIENCE
International Scientific Journal
APPLICATION OF KASHURI FUNDO TRANSFORM AND HOMOTOPY PERTURBATION METHODS TO FRACTIONAL HEAT TRANSFER AND POROUS MEDIA EQUATIONS
ABSTRACT
Integral transformations have been used for a long time in the solution of differential equations either solely or combined with other methods. These transforms provide a great advantage in reaching solutions in an easy way by transforming many seemingly complex problems into a more understandable format. In this study, we used an integral transform, namely Kashuri Fundo transform, by blending with the homotopy perturbation method for the solution of non-linear fractional porous media equation and time-fractional heat transfer equation with cubic non-linearity.
KEYWORDS
PAPER SUBMITTED: 2021-10-29
PAPER REVISED: 2022-03-07
PAPER ACCEPTED: 2022-05-15
PUBLISHED ONLINE: 2022-07-23
THERMAL SCIENCE YEAR
2022, VOLUME
26, ISSUE
Issue 4, PAGES [2877 - 2884]
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