## THERMAL SCIENCE

International Scientific Journal

### A NEW ITERATION ALGORITHM FOR SOLVING THE DIFFUSION PROBLEM IN NON-DIFFERENTIABLE HEAT TRANSFER

**ABSTRACT**

In the article, the variational iteration algorithm LFVIA-II is implemented to solve the diffusion equation occurring in non-differentiable heat transfer. The operators take in sense of the local fractional operators. The obtained results show the fractal behaviors of heat transfer with non-differentiability.

**KEYWORDS**

PAPER SUBMITTED: 2014-11-15

PAPER REVISED: 2015-01-22

PAPER ACCEPTED: 2015-02-12

PUBLISHED ONLINE: 2015-08-02

**THERMAL SCIENCE** YEAR

**2015**, VOLUME

**19**, ISSUE

**Supplement 1**, PAGES [S105 - S108]

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