THERMAL SCIENCE

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Chun-Fu Wei

TWO-SCALE TRANSFORM FOR 2-D FRACTAL HEAT EQUATION IN A FRACTAL SPACE

ABSTRACT
A 2-D fractal heat conduction in a fractal space is considered by He’s fractal derivative. The two-scale transform is adopted to convert the fractal model to its differential partner. The homotopy perturbation method is used to find the approximate analytical solution.
KEYWORDS
fractal derivative, heat equation, two-scale transform, homotopy perturbation method
PAPER SUBMITTED: 2019-09-18
PAPER REVISED: 2020-06-14
PAPER ACCEPTED: 2020-06-15
PUBLISHED ONLINE: 2021-03-27
DOI REFERENCE: https://doi.org/10.2298/TSCI190918124W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 3, PAGES [2339 - 2345]
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Two-scale transform for 2-D fractal heat equation in a fractal space

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