THERMAL SCIENCE

International Scientific Journal

Dumitru Baleanu

,

Hassan Kamil Jassim

,

Hasib Khan

A MODIFICATION FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING NONLINEAR GAS DYNAMIC AND COUPLED KDV EQUATIONS INVOLVING LOCAL FRACTIONAL OPERATORS

ABSTRACT
In this paper, we apply a new technique, namely local fractional variational iteration transform method on homogeneous/non-homogeneous non-linear gas dynamic and coupled KdV equations to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative and integral operators. This method is the combination of the local fractional Laplace transform and variational iteration method. The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique.
KEYWORDS
Coupled Korteweg-de Vries equation, Nonlinear gas dynamic equation, local fractional variational iteration method, local fractional Laplace transform, local fractional operator
PAPER SUBMITTED: 2017-08-04
PAPER REVISED: 2017-11-20
PAPER ACCEPTED: 2017-11-24
PUBLISHED ONLINE: 2018-01-07
DOI REFERENCE: https://doi.org/10.2298/TSCI170804283B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 1, PAGES [S165 - S175]
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A modification fractional variational iteration method for solving nonlinear gas dynamic and coupled KdV equations involving local fractional operators

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