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Abstract and Applied Analysis
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Abstract and Applied Analysis
/
2012
/
Article
/
Tab 2
/
Research Article
Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations
Table 2
Numerical results of
𝑢
(
𝑥
)
for Example
5.1
.
𝑥
Exact solution
Approximate solution
Absolute error
Relative error
0
.
1
6
0
.
3
2
0
.
3
1
9
9
9
9
0
1
4
7
9
9
4
3
8
9
.
8
5
2
0
1
×
1
0
−
7
3
.
0
7
8
7
5
×
1
0
−
6
0
.
3
2
0
.
6
4
0
.
6
3
9
9
9
8
0
0
4
3
2
3
6
8
0
1
.
9
9
5
6
8
×
1
0
−
6
3
.
1
1
8
2
4
×
1
0
−
6
0
.
4
8
0
.
9
6
0
.
9
5
9
9
9
6
9
4
2
6
4
9
1
0
0
3
.
0
5
7
3
5
×
1
0
−
6
3
.
1
8
4
7
4
×
1
0
−
6
0
.
6
4
1
.
2
8
1
.
2
7
9
9
9
5
8
0
2
5
3
8
5
6
8
4
.
1
9
7
4
6
×
1
0
−
6
3
.
2
7
9
2
7
×
1
0
−
6
0
.
8
0
1
.
6
0
1
.
5
9
9
9
9
4
5
5
4
7
4
2
6
7
9
5
.
4
4
5
2
6
×
1
0
−
6
3
.
4
0
3
2
9
×
1
0
−
6
0
.
9
6
1
.
9
2
1
.
9
1
9
9
9
3
1
6
7
2
4
9
4
2
0
6
.
8
3
2
7
5
×
1
0
−
6
3
.
5
5
8
7
2
×
1
0
−
6