Cubic B-spline collocation method and its application for anomalous fractional diffusion equations in transport dynamic systems

2016 ◽  
Vol 22 (9) ◽  
pp. 2173-2186 ◽  
Author(s):  
K Sayevand ◽  
A Yazdani ◽  
F Arjang
Keyword(s):  
Collocation Method ◽  
Dynamic Systems ◽  
Fractional Diffusion ◽  
Diffusion Equations ◽  
Spline Collocation ◽  
B Spline ◽  
Spline Collocation Method ◽  
Fractional Diffusion Equations

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.

Sign in / Sign up

Export Citation Format

Share Document