期刊论文详细信息
Entropy | |
Local Fractional Homotopy Perturbation Method for Solving Non-Homogeneous Heat Conduction Equations in Fractal Domains | |
Yu Zhang3  Carlo Cattani1  Xiao-Jun Yang2  | |
[1] Engineering School (DEIM), University “La Tuscia”, Largo dell’Università s.n.c., Viterbo 01100, Italy; E-mail: cattani@unitus.it;Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou 221008, China;College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450000, China; E-Mail: | |
关键词: homotopy perturbation method; heat conduction equation; local fractional derivative; fractals; | |
DOI : 10.3390/e17106753 | |
来源: mdpi | |
【 摘 要 】
In this article, the local fractional Homotopy perturbation method is utilized to solve the non-homogeneous heat conduction equations. The operator is considered in the sense of the local fractional differential operator. Comparative results between non-homogeneous and homogeneous heat conduction equations are presented. The obtained result shows the non-differentiable behavior of heat conduction of the fractal temperature field in homogeneous media.
【 授权许可】
CC BY
© 2015 by the authors; licensee MDPI, Basel, Switzerland.
【 预 览 】
Files | Size | Format | View |
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RO202003190005298ZK.pdf | 632KB | download |