Local Fractional Homotopy Perturbation Method for Solving Non-Homogeneous Heat Conduction Equations in Fractal Domains

Entropy

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: [e-mail];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.