In this article, cubic trigonometric B-spline (CTB) functions are used to set up the collocation method for finding solutions of a coupled system of Burgers’ equation with appropriate initial and boundary conditions. The method is shown to be unconditionally stable by using von-Neumann concept. To test accuracy, the error norms,  are computed. The results are found to be in good agreement with known solutions and with existing schemes in literature.

collocation method, one-dimensional coupled Burger’s equations.