scholarly journals The new analytical solution of the 3D Navier-Stokes equation for compressible medium clarifies the sixth Millennium Prize problem

Cardiometry ◽  
2017 ◽  
pp. 18-33 ◽  
Author(s):  
Sergey G. Chefranov ◽  
◽  
Artem S. Chefranov
Keyword(s):  
Analytical Solution ◽  
Stokes Equation ◽  
Navier Stokes ◽  
Compressible Medium ◽  
Navier Stokes Equation

scholarly journals ANALYTICAL SOLUTION OF NAVIER STOKES EQUATION REDUCED TO THE EQUATION OF THIRD ORDER TO STUDY THE MOTION OF LIQUID IN A FLAT PIPE.

2020 ◽  
Vol 82 (02) ◽  
pp. 563-569
Author(s):  
Kamolkhon Karimov ◽  
◽  
Mukhiddin Khudjaev ◽  
Erkin Nematov ◽  
Tohir Hojibekov ◽  
...  
Keyword(s):  
Analytical Solution ◽  
Stokes Equation ◽  
Navier Stokes ◽  
Third Order ◽  
Navier Stokes Equation

scholarly journals Laplace Adomian Decomposition Method for Multi Dimensional Time Fractional Model of Navier-Stokes Equation

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 149 ◽  
Author(s):  
Shahid Mahmood ◽  
Rasool Shah ◽  
Hassan khan ◽  
Muhammad Arif
Keyword(s):  
Exact Solution ◽  
Analytical Solution ◽  
Stokes Equation ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Approximate Solutions ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Adomian Decomposition ◽  
The Given

In this research paper, a hybrid method called Laplace Adomian Decomposition Method (LADM) is used for the analytical solution of the system of time fractional Navier-Stokes equation. The solution of this system can be obtained with the help of Maple software, which provide LADM algorithm for the given problem. Moreover, the results of the proposed method are compared with the exact solution of the problems, which has confirmed, that as the terms of the series increases the approximate solutions are convergent to the exact solution of each problem. The accuracy of the method is examined with help of some examples. The LADM, results have shown that, the proposed method has higher rate of convergence as compare to ADM and HPM.

Sign in / Sign up

Export Citation Format

Share Document