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Table 1 Absolute errors of Example 5.1

From: A new method for high-order boundary value problems

x

Absolute error [28]

Absolute error [29]

Present method \(e_{131}(x)\)

Present method \(e_{259}(x)\)

0

6.65e − 5

2.81e − 5

5.74e − 5

1.34e − 5

0.1

6.50e − 5

2.26e − 5

3.44e − 5

7.65e − 6

0.2

5.25e − 5

1.41e − 5

2.02e − 5

4.08e − 6

0.3

3.63e − 5

7.32e − 6

1.11e − 5

1.81e − 6

0.4

1.87e − 5

2.95e − 6

4.96e − 6

2.55e − 7

0.6

1.73e − 5

2.95e − 6

4.94e − 6

2.23e − 6

0.7

3.40e − 5

7.32e − 6

1.11e − 5

3.80e − 6

0.8

4.98e − 5

1.41e − 5

2.02e − 5

6.09e − 6

0.9

6.20e − 5

2.26e − 5

3.44e − 5

9.68e − 6

1.0

6.34e − 5

2.81e − 5

5.74e − 5

1.54e − 5