The Modified Local CrankNicolson method for one- and two-dimensional Burgers equations ?
The Modified Local CrankNicolson method is applied to solve one- and two-dimensional Burgers equations. New difference schemes that are explicit, unconditionally stable, and easy to compute are obtained. Numerical solutions obtained by the present method are compared with exact solutions, and it is seen that they are in excellent agreement.
the modified local cranknicolson method burgers equation linearization approach explicit scheme stability analysis