scholarly journals Linear B-spline finite element method for the improved Boussinesq equation

2009 ◽  
Vol 224 (2) ◽  
pp. 658-667 ◽  
Author(s):  
Qun Lin ◽  
Yong Hong Wu ◽  
Ryan Loxton ◽  
Shaoyong Lai
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boussinesq Equation ◽  
B Spline ◽  
Spline Finite Element ◽  
Element Method ◽  
Spline Finite Element Method ◽  
Linear B

scholarly journals Numerical solutions of the improved boussinesq equation by the galerkin quadratic B-spline finite element method

Filomat ◽  
2018 ◽  
Vol 32 (16) ◽  
pp. 5573-5583 ◽  
Author(s):  
Berat Karaagac ◽  
Yusuf Ucar ◽  
Alaattin Esen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boussinesq Equation ◽  
Numerical Solutions ◽  
Blow Up ◽  
Test Problems ◽  
B Spline ◽  
Spline Finite Element ◽  
Element Method ◽  
Spline Finite Element Method

In this paper, we are going to obtain numerical solutions of the improved Boussinesq equation with the aid of Galerkin quadratic B-spline finite element method. To test the accuracy and efficiency of the current method, four test problems have been used. These are solitary wave movement, interaction of two solitary waves, wave break-up and blow-up of solutions. Their results have been compared with those available in the literature for different values of space and time steps. Also, the error norms L2 and L1 have been computed and presented in comparison.

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