Localized multiscale of 2D Burgers' equation with penalty using meshless approximation

2014 ◽  
Author(s):  
Liew Siaw Ching ◽  
Yeak Su Hoe
Keyword(s):  
Burgers Equation ◽  
Meshless Approximation

A NEW BACKUS–GILBERT MESHLESS APPROXIMATION METHOD FOR INITIAL-BOUNDARY VALUE PARTIAL DIFFERENTIAL EQUATIONS

2006 ◽  
Vol 03 (03) ◽  
pp. 337-353 ◽  
Author(s):  
CHRISTOPHER D. BLAKELY
Keyword(s):  
Boundary Value Problems ◽  
Approximation Method ◽  
Burgers Equation ◽  
Boundary Value ◽  
Initial Boundary ◽  
Two Dimensions ◽  
Initial Boundary Value Problems ◽  
Meshless Collocation ◽  
Meshless Approximation ◽  
Initial Boundary Value

A Backus–Gilbert approximation method is introduced in this paper as a tool for numerically solving initial-boundary value problems. The formulation of the method with its connection to the standard moving least-squares formulation will be given along with some numerical examples including a numerical solution to the viscous nonlinear Burgers equation in two-dimensions. In addition, we highlight some of the main advantages of the method over previous numerical methods based on meshless collocation approximation in order to validate its robust approximating power and easy handling of initial-boundary value problems.

HIGHER ORDER BURGERS EQUATION

1986 ◽  
Vol 6 (3) ◽  
pp. 353-360 ◽  
Author(s):  
Mingliang Wang
Keyword(s):  
Burgers Equation ◽  
Higher Order

New variable separation solutions to the (2 + 1)-dimensional Burgers equation

2016 ◽  
Vol 273 ◽  
pp. 1271-1275 ◽  
Author(s):  
Lijuan Yang ◽  
Xianyun Du ◽  
Qiongfen Yang
Keyword(s):  
Burgers Equation ◽  
Variable Separation
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