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Abstract and Applied Analysis
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Abstract and Applied Analysis
/
2011
/
Article
/
Tab 2
/
Research Article
A Jacobi Dual-Petrov-Galerkin Method for Solving Some Odd-Order Ordinary Differential Equations
Table 2
Maximum pointwise error using JDPG method for
𝑁
=
1
2
,
2
4
,
3
6
, for Example
5.2
.
𝑁
𝛼
𝛽
𝛾
1
𝛾
2
𝛾
3
JDPG
𝛾
1
𝛾
2
𝛾
3
JDPG
12
3
.
2
9
4
⋅
1
0
−
1
9
.
1
1
7
⋅
1
0
−
1
24
1
2
1
2
1
1
1
2
.
6
5
0
⋅
1
0
−
1
3
𝑁
𝑁
2
𝑁
3
1
.
0
5
2
⋅
1
0
−
1
0
36
2
.
1
1
6
⋅
1
0
−
1
6
4
.
7
7
0
⋅
1
0
−
1
6
12
3
.
0
2
4
⋅
1
0
−
1
8
.
3
6
6
⋅
1
0
−
1
24
0
0
1
1
1
1
.
9
8
2
⋅
1
0
−
1
3
𝑁
𝑁
2
𝑁
3
7
.
9
4
7
⋅
1
0
−
1
1
36
3
.
0
5
3
⋅
1
0
−
1
6
3
.
0
5
3
⋅
1
0
−
1
6
12
2
.
7
4
8
⋅
1
0
−
1
7
.
5
9
8
⋅
1
0
−
1
24
−
1
2
−
1
2
1
1
1
1
.
4
3
7
⋅
1
0
−
1
3
𝑁
𝑁
2
𝑁
3
5
.
8
2
8
⋅
1
0
−
1
1
36
2
.
1
1
6
⋅
1
0
−
1
6
1
.
3
8
7
⋅
1
0
−
1
6