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Journal of Applied Mathematics
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Journal of Applied Mathematics
/
2012
/
Article
/
Tab 3
/
Research Article
The Numerical Solution of Problems in Calculus of Variation Using B-Spline Collocation Method
Table 3
Results for Example
4.3
.
𝑁
ℎ
‖
𝐸
1
‖
‖
𝐸
2
‖
8
𝜋
/
1
6
8
.
9
8
5
5
×
1
0
−
4
8
.
9
8
5
5
×
1
0
−
4
16
𝜋
/
3
2
2
.
2
5
0
7
×
1
0
−
4
2
.
2
5
0
7
×
1
0
−
4
32
𝜋
/
6
4
5
.
6
3
2
1
×
1
0
−
5
5
.
6
3
2
1
×
1
0
−
5
64
𝜋
/
1
2
8
1
.
4
0
8
2
×
1
0
−
5
1
.
4
0
8
2
×
1
0
−
5
128
𝜋
/
2
5
6
3
.
5
2
0
7
×
1
0
−
6
3
.
5
2
0
7
×
1
0
−
6
256
𝜋
/
5
1
2
8
.
8
0
1
8
×
1
0
−
7
8
.
8
0
1
8
×
1
0
−
7