A new numerical technique for local fractional diffusion equation in fractal heat transfer
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Authors
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, School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China.
J. A. Tenreiro Machado
- Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. Antonio Bernardino de Almeida, 4249-015 Porto, Portugal.
Dumitru Baleanu
- Department of Mathematics, Cankya University, Ogretmenler Cad. 14, Balgat-06530, Ankara, Turkey.
- Institute of Space Sciences, Magurele-Bucharest, Romania.
Feng Gao
- School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China.
- State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China.
Abstract
In this paper, a new numerical approach, embedding the differential transform (DT) and Laplace trans-
form (LT), is firstly proposed. It is considered in the local fractional derivative operator for obtaining the
non-differential solution for diffusion equation in fractal heat transfer.
Share and Cite
ISRP Style
Xiao-Jun Yang, J. A. Tenreiro Machado, Dumitru Baleanu, Feng Gao, A new numerical technique for local fractional diffusion equation in fractal heat transfer, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 10, 5621--5628
AMA Style
Yang Xiao-Jun, Machado J. A. Tenreiro, Baleanu Dumitru, Gao Feng, A new numerical technique for local fractional diffusion equation in fractal heat transfer. J. Nonlinear Sci. Appl. (2016); 9(10):5621--5628
Chicago/Turabian Style
Yang, Xiao-Jun, Machado, J. A. Tenreiro, Baleanu, Dumitru, Gao, Feng. "A new numerical technique for local fractional diffusion equation in fractal heat transfer." Journal of Nonlinear Sciences and Applications, 9, no. 10 (2016): 5621--5628
Keywords
- Numerical solution
- diusion equation
- dierential transform
- Laplace transform
- fractal heat transfer
- local fractional derivative.
MSC
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