The Cubic B-spline Least Squares Finite Element Method for the Numerical Solutions of Regularized Long Wave Equation

2021 ◽  
pp. 1-13
Author(s):  
Ozlem Ersoy Hepson ◽  
Dağ Idris ◽  
Bülent Saka ◽  
Buket Ay
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Wave Equation ◽  
Least Squares ◽  
Numerical Solutions ◽  
B Spline ◽  
Long Wave ◽  
Regularized Long Wave Equation ◽  
Element Method

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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