Approximate Solution for Nonlinear Gas Dynamic and Coupled KdV Equations Involving Local Fractional Operator

Approximate Solution for Nonlinear Gas Dynamic and Coupled KdV Equations Involving Local Fractional Operator



Hossein Jafari1, Hassan Kamil Jassim1,2



1 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
2 Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
E-mail: hassan.kamil28@yahoo.com





Article info

Original: 2 June. 2015

Revised:28 June.  2015

Accepted:30 August.  2015

Published online:  20 March.  2016




Key Words:

Nonlinear gas
dynamic equation;
Coupled Kortewegde
Vries Equations;
Local fractional
variational iteration
method.


Abstract

In this paper, the nonlinear gas dynamic and coupled KdV equations within local
fractional operator are discussed. The approximate solutions are obtained by using the
local fractional variational iteration method (LFVIM). This method is able to solve large
class of linear and nonlinear equations effectively, more easily and accurately; and thus
the method has been widely applicable to solve any class of equations in sciences and
engineering.





Ċ
Ramyar Abdolrahman Taimur Ismail,
Mar 20, 2016, 5:05 AM