Open AccessTwo-scale transform for 2-D fractal heat equation in a fractal space
Author(s) -
Chengzhou Wei
Publication year - 2021
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci190918124w
Subject(s) - fractal , fractal derivative , fractal dimension on networks , mathematical analysis , fractal landscape , scale (ratio) , thermal conduction , multifractal system , space (punctuation) , homotopy perturbation method , mathematics , fractal analysis , fractal dimension , statistical physics , homotopy , physics , thermodynamics , pure mathematics , computer science , quantum mechanics , operating system
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.