scholarly journals QUADRATIC B-SPLINE FINITE ELEMENT METHOD FOR THE BENJAMIN-BONA-MAHONY-BURGERS EQUATION

2013 ◽  
Vol 29 (5) ◽  
pp. 503-510 ◽  
Author(s):  
Yong-Xue Yin ◽  
Guang-Ri Piao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Burgers Equation ◽  
B Spline ◽  
Spline Finite Element ◽  
Element Method ◽  
Spline Finite Element Method

scholarly journals CUBIC B-SPLINE FINITE ELEMENT METHOD FOR THE ROSENAU-BURGERS EQUATION

2017 ◽  
Vol 33 (1) ◽  
pp. 53-65
Author(s):  
Ge-Xing Xu ◽  
Chun-Hua Li ◽  
Guang-Ri Piao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Burgers Equation ◽  
B Spline ◽  
Spline Finite Element ◽  
Element Method ◽  
Spline Finite Element Method

scholarly journals An application of cubic B-Spline finite element method for the Burgers` equation

2018 ◽  
Vol 22 (Suppl. 1) ◽  
pp. 195-202
Author(s):  
Emine Aksan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Burgers Equation ◽  
B Spline ◽  
Linear Pde ◽  
Non Linear ◽  
Spline Finite Element ◽  
Linear Ode ◽  
Element Method ◽  
Spline Finite Element Method

It is difficult to achieve exact solution of non-linear PDE, directly. Sometimes, it is possible to convert non-linear PDE into equivalent linear PDE by applying a convenient transformation. Hence, Burgers? equation replaces with heat equation by means of the Hope-Cole transformation. In this study, Burgers? equation was converted to a set of non-linear ODE by keeping non-linear structure of Burgers? equation. In this case, solutions for each of the non-linear ODE were obtained by the help of the cubic B-spline finite element method. Model problems were considered to verify the efficiency of this method. Agreement of the solutions was shown with graphics and tables.

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