THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Ai-Min Yang

,

Yu-Zhu Zhang

,

Weijie Li

LAPLACE VARIATIONAL ITERATION METHOD FOR THE TWO-DIMENSIONAL DIFFUSION EQUATION IN HOMOGENEOUS MATERIALS

ABSTRACT
In this paper, we suggest the local fractional Laplace variational iteration method to deal with the two-dimensional diffusion in homogeneous materials. The operator is considered in local fractional sense. The obtained solution shows the non-differentiable behavior of homogeneous materials with fractal characteristics.
KEYWORDS
local fractional Laplace variational iteration method, diffusion equation, non-differentiable solution, local fractional derivative
PAPER SUBMITTED: 2014-11-26
PAPER REVISED: 2015-01-10
PAPER ACCEPTED: 2015-02-09
PUBLISHED ONLINE: 2015-08-02
DOI REFERENCE: https://doi.org/10.2298/TSCI15S1S63Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement 1, PAGES [S163 - S168]
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Laplace variational iteration method for the two-dimensional diffusion equation in homogeneous materials

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