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Journal of Applied Mathematics
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Journal of Applied Mathematics
/
2012
/
Article
/
Tab 1
/
Research Article
Adaptive Double-Diffusion Model and Comparison to a Highly Heterogeneous Micro-Model
Table 1
Comparison of solutions to the macro-model with those to the micro-model for different values of
𝜀
with data as in Example
3.2
.
#
cells
𝜀
‖
𝑒
𝑁
𝜀
‖
∗
,
𝐿
1
𝛼
1
‖
𝑒
𝑁
𝜀
‖
∗
,
𝐿
2
𝛼
2
3
×
3
1
/
3
1
.
1
8
3
2
×
1
0
−
2
—
3
.
2
0
7
1
×
1
0
−
2
—
5
×
5
1
/
5
7
.
0
9
1
5
×
1
0
−
3
1
.
0
1
8
8
1
.
9
0
4
4
×
1
0
−
2
1
.
0
3
9
0
7
×
7
1
/
7
5
.
0
5
2
2
×
1
0
−
3
1
.
0
0
7
7
1
.
3
5
2
8
×
1
0
−
2
1
.
0
1
6
4
9
×
9
1
/
9
3
.
9
2
8
5
×
1
0
−
3
1
.
0
0
1
1
1
.
0
5
0
2
×
1
0
−
2
1
.
0
0
7
5
1
1
×
1
1
1
/
1
1
3
.
2
1
6
2
×
1
0
−
3
0
.
9
9
6
9
8
.
5
8
9
0
×
1
0
−
3
1
.
0
0
2
1