Mathematical Problems in Engineering 
Volume 2005 (2005), Issue 5, Pages 521-538
doi:10.1155/MPE.2005.521

B-spline collocation methods for numerical solutions of the Burgers' equation

İdris Dağ,1 Dursun Irk,2 and Ali Şahin3

 1Computer Engineering Department, Osmangazi University, Eskişehir 26480, Turkey
2Mathematics Department, Osmangazi University, Eskişehir 26480, Turkey
3Mathematics Department, Dumlupinar University, Kütahya 43100, Turkey
Received 25 August 2004; Revised 22 December 2004

Abstract

Both time- and space-splitted Burgers' equations are solved numerically. Cubic B-spline collocation method is applied to the time-splitted Burgers' equation. Quadratic B-spline collocation method is used to get numerical solution of the space-splitted Burgers' equation. The results of both schemes are compared for some test problems.