Numerical solution of Burgers’ equation by the Sobolev gradient method

2011 ◽  
Vol 218 (8) ◽  
pp. 4017-4024 ◽  
Author(s):  
N. Raza ◽  
S. Sial ◽  
J.W. Neuberger
Keyword(s):  
Numerical Solution ◽  
Gradient Method ◽  
Burgers Equation ◽  
Sobolev Gradient

scholarly journals Numerical Solution of Turbulence Problems by Solving Burgers’ Equation

Algorithms ◽  
2015 ◽  
Vol 8 (2) ◽  
pp. 224-233 ◽  
Author(s):  
Alicia Cordero ◽  
Antonio Franques ◽  
Juan Torregrosa
Keyword(s):  
Numerical Solution ◽  
Burgers Equation

On the exact and numerical solution of the time-delayed Burgers equation

2008 ◽  
Vol 85 (11) ◽  
pp. 1637-1648 ◽  
Author(s):  
E. S. Fahmy ◽  
K. R. Raslan ◽  
H. A. Abdusalam
Keyword(s):  
Numerical Solution ◽  
Burgers Equation

A new modified group explicit iterative method for the numerical solution of time dependent viscous Burgers' equation

2014 ◽  
Vol 05 (02) ◽  
pp. 1350029 ◽  
Author(s):  
Jyoti Talwar ◽  
R. K. Mohanty
Keyword(s):  
Iterative Method ◽  
Numerical Solution ◽  
Convergence Analysis ◽  
Iterative Methods ◽  
Iteration Method ◽  
Burgers Equation ◽  
Time Dependent ◽  
Alternating Group ◽  
Explicit Method ◽  
Rectangular Coordinates

In this article, we discuss a new smart alternating group explicit method based on off-step discretization for the solution of time dependent viscous Burgers' equation in rectangular coordinates. The convergence analysis for the new iteration method is discussed in details. We compared the results of Burgers' equation obtained by using the proposed iterative method with the results obtained by other iterative methods to demonstrate computationally the efficiency of the proposed method.

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