Numerical Solutions of the Modified Burgers' Equation by Cubic

In this paper, a numerical solution of the modified Burgers' equation is obtained by a cubic B-spline collocation method. In the solution process, a linearization technique has been applied to deal with the non-linear term appearing in the equation. The computed results are compared with the results given in the literature. The error norms $L_{2}$ and $L_{\infty }$ are also computed and found to be sufficiently small.