Two-scale transform for 2-D fractal heat equation in a fractal space

Two-scale transform for 2-D fractal heat equation in a fractal space

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.

Bibliographic Details
Main Author: Wei Chun-Fu
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2021-01-01
Series:Thermal Science
Subjects:
fractal derivative
heat equation
two-scale transform
homotopy perturbation method
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100124W.pdf
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spelling doaj-c5b04ca00e2b4a4c91764c1854d633822021-05-27T13:12:06ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632021-01-01253 Part B2339234510.2298/TSCI190918124W0354-98362100124WTwo-scale transform for 2-D fractal heat equation in a fractal spaceWei Chun-Fu0School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, ChinaA 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.http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100124W.pdffractal derivativeheat equationtwo-scale transformhomotopy perturbation method
collection DOAJ
language English
format Article
sources DOAJ
author Wei Chun-Fu
spellingShingle Wei Chun-Fu
Two-scale transform for 2-D fractal heat equation in a fractal space
Thermal Science
fractal derivative
heat equation
two-scale transform
homotopy perturbation method
author_facet Wei Chun-Fu
author_sort Wei Chun-Fu
title Two-scale transform for 2-D fractal heat equation in a fractal space
title_short Two-scale transform for 2-D fractal heat equation in a fractal space
title_full Two-scale transform for 2-D fractal heat equation in a fractal space
title_fullStr Two-scale transform for 2-D fractal heat equation in a fractal space
title_full_unstemmed Two-scale transform for 2-D fractal heat equation in a fractal space
title_sort two-scale transform for 2-d fractal heat equation in a fractal space
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2021-01-01
description 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.
topic fractal derivative
heat equation
two-scale transform
homotopy perturbation method
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100124W.pdf
work_keys_str_mv AT weichunfu twoscaletransformfor2dfractalheatequationinafractalspace
_version_ 1721425590921199616

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