THERMAL SCIENCE

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Shu-Xian Deng

,

Xin-Xin Ge

APPLICATION OF DGJ METHOD FOR SOLVING NON-LINEAR LOCAL FRACTIONAL HEAT EQUATIONS

ABSTRACT
In this paper, the initial value problem for a new non-linear local fractional heat equation is considered. The fractional complex transform method and the DGJ decomposition method are used to solve the problem, and the approximate analytical solutions are also obtained.
KEYWORDS
nonlinear local fractional heat equation, fractional complex transform method, the DGJ decomposition method
PAPER SUBMITTED: 2018-08-25
PAPER REVISED: 2018-11-09
PAPER ACCEPTED: 2019-02-15
PUBLISHED ONLINE: 2019-05-26
DOI REFERENCE: https://doi.org/10.2298/TSCI180825225D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 3, PAGES [1571 - 1576]
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Application of DGJ method for solving non-linear local fractional heat equations

© 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