A new computational method for fractal heat-diffusion via local fractional derivative
Author(s) -
Gengyuan Liu
Publication year - 2016
Publication title -
thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci16s3773l
Subject(s) - fractal derivative , fractal , thermal conduction , heat equation , fractional calculus , partial differential equation , derivative (finance) , diffusion equation , mathematical analysis , thermodynamics , mathematics , physics , fractal dimension , fractal analysis , economy , service (business) , financial economics , economics
The fractal heat-conduction problem via local fractional derivative is investigated in this paper. The solution of the fractal heat-diffusion equation is obtained. The characteristic equation method is proposed to find the analytical solution of the partial differential equation in fractal heat-conduction problem
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