THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Xiaoqi Sun

,

Han Xiao

,

Weiwei Zhang

,

Fang Liu

A NEW COMPUTATIONAL METHOD FOR THE ONE-DIMENSIONAL DIFFUSION PROBLEM WITH THE DIFFUSIVE PARAMETER VARIABLE IN FRACTAL MEDIA

ABSTRACT
In this paper, we use a local fractional Laplace decomposition method to solve the diffusion equation with the diffusive parameter variable in fractal media. The obtained result illustrates the efficiency and accuracy of the proposed method to obtain analytical solutions to differential equations within the local fractional derivatives.
KEYWORDS
fractional diffusion equation, laplace transform, Adomian decomposition method, local fractional derivative
PAPER SUBMITTED: 2014-10-10
PAPER REVISED: 2015-01-22
PAPER ACCEPTED: 2015-02-12
PUBLISHED ONLINE: 2015-08-02
DOI REFERENCE: https://doi.org/10.2298/TSCI15S1S17S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement 1, PAGES [S117 - S122]
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A new computational method for the one-dimensional diffusion problem with the diffusive parameter variable in fractal media

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence