Sextic B‐spline collocation method for the modified Burgers' equation
Abstract
Purpose
The purpose of this paper is to investigate the numerical solutions of the Burgers' and modified Burgers' equation using sextic B‐spline collocation method.
Design/methodology/approach
Crank‐Nicolson central differencing scheme has been used for the time integration and sextic B‐spline functions have been used for the space integration to the modified and time splitted modified Burgers' equation.
Findings
It has been found that the proposed method is unconditionally stable and obtained results are consistent with some earlier published studies.
Originality/value
Sextic B‐spline collocation method for the Burgers' and modified Burgers' equation is given.
Keywords
Citation
Irk, D. (2009), "Sextic B‐spline collocation method for the modified Burgers' equation", Kybernetes, Vol. 38 No. 9, pp. 1599-1620. https://doi.org/10.1108/03684920910991568
Publisher
:Emerald Group Publishing Limited
Copyright © 2009, Emerald Group Publishing Limited