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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
DOI REFERENCE: https://doi.org/10.2298/TSCI2204877P
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 4, PAGES [2877 - 2884]
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