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Journal of Applied Mathematics
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Journal of Applied Mathematics
/
2012
/
Article
/
Tab 2
/
Research Article
A Multilevel Finite Difference Scheme for One-Dimensional Burgers Equation Derived from the Lattice Boltzmann Method
Table 2
Error norms for
𝜈
=
1
at
𝑇
=
0
.
1
with different step size.
𝑁
‖
𝑒
‖
𝐿
2
‖
𝑒
‖
𝐿
∞
‖
𝑒
‖
R
M
S
10
1
.
0
8
9
𝐸
−
0
2
2
.
7
8
9
𝐸
−
0
3
1
.
1
2
5
𝐸
−
0
4
20
4
.
6
4
0
𝐸
−
0
3
1
.
1
9
0
𝐸
−
0
3
5
.
0
0
0
𝐸
−
0
5
100
3
.
6
3
1
𝐸
−
0
3
9
.
2
9
6
𝐸
−
0
4
3
.
7
5
6
𝐸
−
0
5