Volume 3, Issue 6, December 2014, Page: 323-329
An Analytical Treatment to Fractional Gas Dynamics Equation
Mohamed S. Al-luhaibi, Department of Mathematics, Faculty of Science, Kirkuk University, Iraq
Nahed A. Saker, Department of Mathematics, Faculty of Science, Menoufia University, Egypt
Received: Oct. 24, 2014;       Accepted: Dec. 9, 2014;       Published: Dec. 29, 2014
DOI: 10.11648/j.acm.20140306.16      View  1659      Downloads  144
Abstract
In this paper, the new iterative method (NIM) is applied to solve nonlinear fractional gas dynamics equation. Further, a coupling of the Sumudu transform and Adomian decomposion (STADM) is used to get an approximate solution of the same problem. The results obtained by the two methods are found to be in agreement. Therefore, the NIM may be considered efficient method for finding approximate solutions of both linear and nonlinear fractional differential equations.
Keywords
Sumudu Transform Method, Adomian Decomposion Method, New Iterative Method,Fractional Gas Dynamics Equation
To cite this article
Mohamed S. Al-luhaibi, Nahed A. Saker, An Analytical Treatment to Fractional Gas Dynamics Equation, Applied and Computational Mathematics. Vol. 3, No. 6, 2014, pp. 323-329. doi: 10.11648/j.acm.20140306.16
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