Figure 1 shows the shape of the initial
condition used in the fine mesh calculation. Also shown in figure 1 is the
final solution (at time t=0.6). The exact solution represents the
convection of this wave to the final position with
the shape unchanged.
Initial and final solution using fine mesh
The numerical solutions using the coarse and fine square
meshes are presented in figure 2.
To further illustrate this point, a careful comparison between the exact solution and the numerical solution is also made on the these two meshes, shown in the following figures.
Comparison of solutions on coarse mesh
Comparison of solutions on finemesh
