Finite difference method solution and analysis for fractional Burger equation

In this study, non-linear Burger's Equation, which has Dirichlet Boundary Conditions, was solved with Finite Difference Method. While we were finding solution, different finite difference schemes were used such as Implicit and explicit scheme, besides these schemes were compared. The Analysis of stability and convergence of the explicit scheme were done. The difference of Analytic and Approximate solution was discussed with using numerical examples and graphs. Maple program was used when finding approximate solutions. Fractional Burger Equation was found by S. Momani, which was made with changing time and space terms with fractional terms. This equation was solved with finite difference method and analysis of this scheme was discussed with examples. The exact solution and fractional burger equation were discussed. Keywords: Dirichlet Boundary Conditions, Burger's Equation, Finite Difference Method