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Journal of Applied Mathematics
/
2012
/
Article
/
Tab 2
/
Research Article
Approximation Algorithm for a System of Pantograph Equations
Table 2
Comparison of the absolute errors for Example
3.2
.
𝑡
Exact solution
𝑢
1
𝑢
1
=
𝑒
−
𝑡
c
o
s
(
𝑡
)
𝑛
=
1
𝑛
=
2
𝑛
=
3
0.2
8
.
0
2
4
1
0
6
𝐸
−
1
1
.
1
4
4
𝐸
−
2
4
.
4
3
2
𝐸
−
4
1
.
9
0
0
𝐸
−
5
0.4
6
.
1
7
4
0
5
6
𝐸
−
1
4
.
9
9
0
𝐸
−
2
4
.
2
7
4
𝐸
−
3
3
.
6
5
6
𝐸
−
4
0.6
4
.
5
2
9
5
3
8
𝐸
−
1
4
.
1
8
5
𝐸
−
1
1
.
6
4
3
𝐸
−
2
2
.
1
1
9
𝐸
−
3
0.8
3
.
1
3
0
5
0
5
𝐸
−
1
2
.
1
7
1
𝐸
−
1
4
.
2
7
4
𝐸
−
2
7
.
4
2
0
𝐸
−
3
1.0
1
.
9
8
7
6
6
1
𝐸
−
1
3
.
4
3
7
𝐸
−
1
8
.
9
2
5
𝐸
−
2
1
.
9
6
0
𝐸
−
2
𝑢
2
=
s
i
n
(
𝑡
)
𝑢
2
𝑛
=
1
𝑛
=
2
𝑛
=
3
0.2
1
.
9
8
6
6
9
3
𝐸
−
1
2
.
2
7
3
𝐸
−
2
5
.
1
7
4
𝐸
−
4
1
.
6
7
0
𝐸
−
5
0.4
3
.
8
9
4
1
8
3
𝐸
−
1
1
.
0
2
4
𝐸
−
1
5
.
8
4
0
𝐸
−
3
1
.
7
9
0
𝐸
−
4
0.6
5
.
6
4
6
4
2
5
𝐸
−
1
2
.
5
7
5
𝐸
−
1
2
.
6
3
0
𝐸
−
2
3
.
2
8
2
𝐸
−
4
0.8
7
.
1
7
3
5
6
1
𝐸
−
1
5
.
0
8
2
𝐸
−
1
8
.
0
2
2
𝐸
−
2
1
.
2
7
6
𝐸
−
3
1.0
8
.
4
1
4
7
1
0
𝐸
−
1
8
.
7
6
8
𝐸
−
1
1
.
9
6
5
𝐸
−
1
1
.
0
1
5
𝐸
−
2