Open AccessThe non-differentiable solution for local fractional Laplace equation in steady heat-conduction problem
Author(s) -
Jie-Dong Chen,
Li Huaping
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/tsci151221200c
Subject(s) - thermal conduction , differentiable function , laplace transform , laplace's equation , heat equation , mathematical analysis , mathematics , relativistic heat conduction , fractional calculus , fractal , heat kernel , physics , thermodynamics , partial differential equation , heat transfer , heat flux
In this paper, we investigate the local fractional Laplace equation in the steady heat-conduction problem. The solutions involving the non-differentiable graph are obtained by using the characteristic equation method (CEM) via local fractional derivative. The obtained results are given to present the accuracy of the technology to solve the steady heat-conduction in fractal media
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom