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Theory and Modern Applications

Table 2 The observed maximum absolute error for different values of m for Example 2

From: The application of block pulse functions for solving higher-order differential equations with multi-point boundary conditions

x

m  = 10

m  = 16

RKM ( m  = 151) [25]

0.0

2.9 × 10−7

9.8 × 10−8

1.1 × 10−6

0.1

6.8 × 10−8

1.6 × 10−8

2.0 × 10−7

0.2

7.8 × 10−9

6.9 × 10−10

5.9 × 10−9

0.3

7.5 × 10−9

7.7 × 10−10

4.4 × 10−9

0.4

4.4 × 10−8

7.6 × 10−9

8.5 × 10−8

0.5

1.2 × 10−7

3.1 × 10−8

2.6 × 10−7

0.6

1.9 × 10−7

5.8 × 10−8

4.3 × 10−7

0.7

1.9 × 10−7

5.7 × 10−8

4.1 × 10−7

0.8

2.3 × 10−8

2.1 × 10−8

2.7 × 10−8

0.9

6.1 × 10−7

2.4 × 10−7

1.2 × 10−6

1.0

1.8 × 10−6

6.9 × 10−7

3.4 × 10−6