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Abstract and Applied Analysis
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Abstract and Applied Analysis
/
2012
/
Article
/
Tab 5
/
Research Article
Numerical Solutions of Odd Order Linear and Nonlinear Initial Value Problems Using a Shifted Jacobi Spectral Approximations
Table 5
Absolute error using SJC method for
𝑁
=
1
4
Example
6.5
.
𝑥
𝛼
=
−
1
/
2
,
𝛽
=
1
/
2
𝛼
=
0
,
𝛽
=
0
𝛼
=
1
/
2
,
𝛽
=
−
1
/
2
0.0
3
.
6
1
3
⋅
1
0
−
1
7
6
.
9
1
8
⋅
1
0
−
1
8
8
.
4
7
4
⋅
1
0
−
1
7
0.1
1
.
1
9
2
⋅
1
0
−
1
7
4
.
5
5
3
⋅
1
0
−
1
8
2
.
9
3
6
⋅
1
0
−
1
6
0.2
2
.
0
8
1
⋅
1
0
−
1
7
1
.
3
8
7
⋅
1
0
−
1
7
3
.
3
3
0
⋅
1
0
−
1
6
0.3
3
.
4
6
9
⋅
1
0
−
1
8
5
.
5
5
1
⋅
1
0
−
1
7
3
.
4
6
9
⋅
1
0
−
1
8
0.4
1
.
3
8
7
⋅
1
0
−
1
7
6
.
9
3
8
⋅
1
0
−
1
8
2
.
0
8
1
⋅
1
0
−
1
7
0.5
4
.
1
6
3
⋅
1
0
−
1
7
4
.
1
6
3
⋅
1
0
−
1
7
1
.
3
8
7
⋅
1
0
−
1
7
0.6
1
.
1
1
0
⋅
1
0
−
1
6
1
.
1
1
0
⋅
1
0
−
1
6
5
.
5
5
1
⋅
1
0
−
1
7
0.7
5
.
5
5
1
⋅
1
0
−
1
7
1
.
1
1
0
⋅
1
0
−
1
6
5
.
5
5
1
⋅
1
0
−
1
7
0.8
5
.
5
5
1
⋅
1
0
−
1
7
5
.
5
5
1
⋅
1
0
−
1
7
1
.
1
1
0
⋅
1
0
−
1
6
0.9
0
1
.
1
1
0
⋅
1
0
−
1
6
1
.
1
1
0
⋅
1
0
−
1
6
1.0
0
1
.
1
1
0
⋅
1
0
−
1
6
1
.
1
1
0
⋅
1
0
−
1
6