Title of article :
An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers' equation
Author/Authors :
Ersoy Hepson, Ozlem Mathematics and Computer Science Department - Science and Letters Faculty - Eskisehir Osmangazi University - 26480 - Eskisehir - Turkey , Dag, Idris Computer Engineering Department - Engineering and Architecture Faculty - Eskisehir Osmangazi University - 26480 - Eskisehir, Turkey
Abstract :
The collocation method based on the exponential cubic B-splines (ECB-splines) together with the Crank-Nicolson formula is used to solve nonlinear coupled Burgers' equation (CBE). This method is tested by studying three different problems. The proposed scheme is compared with some existing methods. It produced accurate results with the suitable selection of the free parameter of the ECB-spline function.
It produces accurate results. Stability of the fully discretized CBE is investigated
by the Von Neumann analysis.
Keywords :
Coupled Burgers' equation , Exponential cubic B-spline , Stability analysis , Collocation
Journal title :
Computational Methods for Differential Equations
