Burgers Equation in 1D and 2D

Simulating the Burgers equation in both 1D and 2D using finite differencing.

The 1D Burgers equation is solved using explicit spatial discretization (upwind and central difference) with periodic boundary conditions on the domain (0,2). The 2D case is solved on a square domain of 2X2 and both explicit and implicit methods are used for the diffusive terms. Dirichlet boundary conditions are used along the edges of the domain.