THERMAL SCIENCE

International Scientific Journal

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Chun-Feng Liu

,

Shan-Shan Kong

,

Shu-Juan Yuan

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
fractal heat conduction equation, local fractional variational iteration method, Yang-Laplace transform, local fractional derivative
PAPER SUBMITTED: 2012-08-26
PAPER REVISED: 2013-05-30
PAPER ACCEPTED: 2013-05-30
PUBLISHED ONLINE: 2013-06-16
DOI REFERENCE: https://doi.org/10.2298/TSCI120826075L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE Issue 3, PAGES [715 - 721]
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Reconstructive schemes for variational iteration method within Yang-Laplace transform with application to fractal heat conduction problem

© 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