Local Fractional Homotopy Perturbation Method for Solving Non-Homogeneous Heat Conduction Equations in Fractal DomainsReport as inadecuate




Local Fractional Homotopy Perturbation Method for Solving Non-Homogeneous Heat Conduction Equations in Fractal Domains - Download this document for free, or read online. Document in PDF available to download.

1

College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450000, China

2

Engineering School DEIM, University -La Tuscia-, Largo dellUniversità s.n.c., Viterbo 01100, Italy

3

Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou 221008, China





*

Author to whom correspondence should be addressed.



Academic Editor: Carlo Cafaro

Abstract 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. View Full-Text

Keywords: homotopy perturbation method; heat conduction equation; local fractional derivative; fractals homotopy perturbation method; heat conduction equation; local fractional derivative; fractals





Author: Yu Zhang 1, Carlo Cattani 2 and Xiao-Jun Yang 3,*

Source: http://mdpi.com/



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