A high-order mass-lumping procedure for B-spline collocation method with application to incompressible flow simulations

2003 ◽  
Vol 41 (12) ◽  
pp. 1295-1318 ◽  
Author(s):  
O. Botella
Keyword(s):  
Collocation Method ◽  
Incompressible Flow ◽  
High Order ◽  
Spline Collocation ◽  
B Spline ◽  
Spline Collocation Method ◽  
Mass Lumping ◽  
Flow Simulations

Computational aeroacoustics using the B-spline collocation method

2005 ◽  
Vol 333 (9) ◽  
pp. 726-731 ◽  
Author(s):  
Ronny Widjaja ◽  
Andrew Ooi ◽  
Li Chen ◽  
Richard Manasseh
Keyword(s):  
Collocation Method ◽  
Computational Aeroacoustics ◽  
Spline Collocation ◽  
B Spline ◽  
Spline Collocation Method

scholarly journals The exponential cubic B-spline collocation method for the Kuramoto-Sivashinsky equation

Filomat ◽  
2016 ◽  
Vol 30 (3) ◽  
pp. 853-861 ◽  
Author(s):  
Ozlem Ersoy ◽  
Idiris Dag
Keyword(s):  
Collocation Method ◽  
Numerical Solutions ◽  
Spline Approximation ◽  
Algebraic Equations ◽  
Spline Collocation ◽  
Fully Integrated ◽  
B Spline ◽  
Spline Collocation Method ◽  
Sivashinsky Equation ◽  
Good Agreement

In this study the Kuramoto-Sivashinsky (KS) equation has been solved using the collocation method, based on the exponential cubic B-spline approximation together with the Crank Nicolson. KS equation is fully integrated into a linearized algebraic equations. The results of the proposed method are compared with both numerical and analytical results by studying two text problems. It is found that the simulating results are in good agreement with both exact and existing numerical solutions.

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