Adaptivity with moving grids

Adaptivity with moving grids 107
10 x 1015
9
8
7
6
u(ξ,τ)
5
4
3
2
1
0
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
ξ
Figure 5.3. Example 2. Solution profile for the blow-up
problem computed in the computational space up to a
peak value of 10 15 .
In Figure 5.3 we show the solution computed in the computational plane
using a simple centred discretization of the PDE using a uniform mesh with
N = 30 points in the computational space. Observe that the peak in the
region ξ