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

Hossein Jafari , Hassan Kamil Jassim

Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.

Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.

DOI: https://doi.org/10.17656/jzs.10456

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.

Key Words:

Nonlinear gas dynamic equation; Coupled Korteweg-de Vries Equations; Local fractional variational iteration method.

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