## THERMAL SCIENCE

International Scientific Journal

### RECONSTRUCTIVE SCHEMES FOR VARIATIONAL ITERATION METHOD WITHIN YANG-LAPLACE TRANSFORM WITH APPLICATION TO FRACTAL HEAT CONDUCTION PROBLEM

**ABSTRACT**

A reconstructive scheme for variational iteration method using the Yang-Laplace transform is proposed and developed with the Yang-Laplace transform. The identification of fractal Lagrange multiplier is investigated by the Yang-Laplace transform. The method is exemplified by a fractal heat conduction equation with local fractional derivative. The results developed are valid for a compact solution domain with high accuracy.

**KEYWORDS**

PAPER SUBMITTED: 2012-08-26

PAPER REVISED: 2013-05-30

PAPER ACCEPTED: 2013-05-30

PUBLISHED ONLINE: 2013-06-16

**THERMAL SCIENCE** YEAR

**2013**, VOLUME

**17**, ISSUE

**3**, PAGES [715 - 721]

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