THERMAL SCIENCE

International Scientific Journal

M. Partohaghighi

,

Mustafa Inc

,

Dumitru Baleanu

,

S. P. Moshokoa

FICITIOUS TIME INTEGRATION METHOD FOR SOLVING THE TIME FRACTIONAL GAS DYNAMICS EQUATION

ABSTRACT
In this work a powerful approach is presented to solve the time-fractional gas dynamics equation. In fact, we use a fictitious time variable y to convert the dependent variable w(x; t) into a new one with one more dimension. Then by taking a initial guess and implementing the group preserving scheme we solve the problem. Finally four examples are solved to illustrate the power of the offered method.
KEYWORDS
fictitious time integration method, Group preserving scheme, Time fractional Gas dynamic sequation, Caputo derivative
PAPER SUBMITTED: 2019-04-21
PAPER REVISED: 2019-08-02
PAPER ACCEPTED: 2019-08-09
PUBLISHED ONLINE: 2019-10-06
DOI REFERENCE: https://doi.org/10.2298/TSCI190421365P
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 6, PAGES [S2009 - S2016]
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Ficitious time integration method for solving the time fractional gas dynamics equation

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