Geodesic
A new numerical technique for local fractional diffusion equation in fractal heat transfer
Yang, Xiao-Jun1 ; Machado, J. A. Tenreiro2 ; Baleanu, Dumitru3 ; Gao, Feng1
1 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
2 Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. Antonio Bernardino de Almeida, 4249-015 Porto, Portugal
3 Department of Mathematics, Cankya University, Ogretmenler Cad. 14, Balgat-06530, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 10, p. 5621-5628.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.009.10.09
Classification : 76R50, 26A33, 44A10, 28A80
Keywords: Numerical solution, di usion equation, di erential transform, Laplace transform, fractal heat transfer, local fractional derivative.

Yang, Xiao-Jun 1 ; Machado, J. A. Tenreiro 2 ; Baleanu, Dumitru 3 ; Gao, Feng 1

1 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
2 Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. Antonio Bernardino de Almeida, 4249-015 Porto, Portugal
3 Department of Mathematics, Cankya University, Ogretmenler Cad. 14, Balgat-06530, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania 
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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 its applications, Tome 9 (2016) no. 10, p. 5621-5628. doi : 10.22436/jnsa.009.10.09. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.10.09/

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