scholarly journals An efficient technique for solving gas dynamics equation using the natural decomposition method

2014 ◽  
Vol 9 ◽  
pp. 1177-1190 ◽  
Author(s):  
Shehu Maitama ◽  
Sabuwa Mustapha Kurawa
Keyword(s):  
Gas Dynamics ◽  
Decomposition Method ◽  
Efficient Technique ◽  
Gas Dynamics Equation ◽  
Natural Decomposition

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.  

scholarly journals Solution for fractional forced KdV equation using fractional natural decomposition method

2020 ◽  
Vol 5 (2) ◽  
pp. 798-810 ◽  
Author(s):  
P. Veeresha ◽  
◽  
D. G. Prakasha ◽  
Jagdev Singh ◽  
◽  
...  
Keyword(s):  
Decomposition Method ◽  
Kdv Equation ◽  
Natural Decomposition

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

scholarly journals Convergence of the New Iterative Method

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
Sachin Bhalekar ◽  
Varsha Daftardar-Gejji
Keyword(s):  
Iterative Method ◽  
Functional Equations ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Efficient Technique ◽  
Nonlinear Functional ◽  
Adomian Decomposition ◽  
New Iterative Method ◽  
Sufficiency Conditions

A new iterative method introduced by Daftardar-Gejji and Jafari (2006) (DJ Method) is an efficient technique to solve nonlinear functional equations. In the present paper, sufficiency conditions for convergence of DJM have been presented. Further equivalence of DJM and Adomian decomposition method is established.

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.

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
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