An efficient computational technique for local fractional heat conduction equations in fractal media

Volume 10, Issue 4, pp 1478--1486 http://dx.doi.org/10.22436/jnsa.010.04.17

Publication Date: April 20, 2017 Submission Date: November 17, 2016

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Authors

Duan Zhao - IOT Perception Mine Research Center, China University of Mining and Technology, Xuzhou 221008, China. - The National and Local Joint Engineering Laboratory of Internet Application Technology on Mine , Xuzhou 221008, China. Jagdev Singh - Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India. Devendra Kumar - Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India. Sushila Rathore - Department of Physics, Vivekananda Global University, Jaipur-303012, Rajasthan, India. Xiao-Jun Yang - School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China. - State Key, Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, 221116, China.

Abstract

The key aim of this article is to present an efficient numerical algorithm based on local fractional homotopy perturbation Sumudu transform technique for solving local fractional heat-conduction equations in fractal media. The proposed technique is an effective combination of local fractional homotopy perturbation method (LFHPM) and local fractional Sumudu transform algorithm. The results obtained by using the suggested scheme show that the approach is straightforward to apply and very accurate.

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Keywords

• Heat conduction equation
• fractal media
• local fractional derivative
• local fractional homotopy perturbation method
• local fractional Sumudu transform method.

MSC

•  35R11
•  26A33
•  35A15

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