Analytical Solution for Fractional Gas Dynamics Equation

2018 ◽  
Vol 42 (1) ◽  
pp. 51-57 ◽  
Author(s):  
S. Raja Balachandar ◽  
K. Krishnaveni ◽  
K. Kannan ◽  
S. G. Venkatesh
Keyword(s):  
Analytical Solution ◽  
Gas Dynamics ◽  
Gas Dynamics Equation

Modified iteration method for solving fractional gas dynamics equation

2016 ◽  
Vol 40 (4) ◽  
pp. 939-946 ◽  
Author(s):  
Ramin Najafi ◽  
Gökçe Dilek Küçük ◽  
Ercan Çeli̇k
Keyword(s):  
Iteration Method ◽  
Gas Dynamics ◽  
Modified Iteration Method ◽  
Gas Dynamics Equation

The Variational IterationMethod for Finding Exact Solution of Nonlinear Gas Dynamics Equations

2011 ◽  
Vol 66 (3-4) ◽  
pp. 161-164 ◽  
Author(s):  
Hossein Jafari ◽  
Ch. Chun ◽  
C.M. Khalique
Keyword(s):  
Exact Solution ◽  
Nonlinear Equations ◽  
Analytical Solutions ◽  
Analytical Method ◽  
Iteration Method ◽  
Gas Dynamics ◽  
Variational Iteration Method ◽  
Gas Dynamics Equations ◽  
Exact Analytical Solutions ◽  
Gas Dynamics Equation

The variational iteration method (VIM) proposed by Ji-Huan He is a new analytical method to solve nonlinear equations. In this paper, a modified VIM is introduced to accelerate the convergence of VIM and it is applied for finding exact analytical solutions of nonlinear gas dynamics equation.

scholarly journals Numerical Solution of Time Fractional Gas Dynamics Equation

2018 ◽  
Vol 7 (4.10) ◽  
pp. 610 ◽  
Author(s):  
T. R.Ramesh Rao ◽  
R. Santosh Balaji
Keyword(s):  
Numerical Solution ◽  
Gas Dynamics ◽  
Present Method ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
New Technique ◽  
Fractional Complex Transform ◽  
Adomian Decomposition ◽  
Gas Dynamics Equation

In this paper, we propose new technique for solving time fractional gas dynamics equation using Laplace-Adomian Decomposition method coupled with fractional complex transform. It is found that the tested examples reveal the present method is more reliable and does not require strong assumptions.  

Sign in / Sign up

Export Citation Format

Share Document