B‐spline collocation methods for numerical solutions of the Burgers′ equation

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.