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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 4 The maximum absolute errors for Example  4 for different values of ε

From: A fitted numerical scheme for second order singularly perturbed delay differential equations via cubic spline in compression

ε ↓∖ N →

32

64

128

256

512

1,024

2−5

1.299E − 03

6.461E − 04

2.673E − 04

9.036E − 05

2.661E − 05

7.234E − 06

2−6

1.273E − 03

6.528E − 04

3.238E − 04

1.339E − 04

4.524E − 05

1.331E − 05

2−7

1.269E − 03

6.381E − 04

3.272E − 04

1.621E − 04

6.701E − 05

2.263E − 05

2−8

1.269E − 03

6.362E − 04

3.195E − 04

1.638E − 04

8.113E − 05

3.352E − 05

2−9

1.269E − 03

6.362E − 04

3.186E − 04

1.598E − 04

8.194E − 05

4.058E − 05

2−10

1.269E − 03

6.362E − 04

3.186E − 04

1.593E − 04

7.994E − 05

4.098E − 05

2−11

1.269E − 03

6.362E − 04

3.186E − 04

1.593E − 04

7.971E − 05

3.998E − 05

2−12

1.269E − 03

6.362E − 04

3.186E − 04

1.593E − 04

7.971E − 05

3.986E − 05

2−13

1.269E − 03

6.362E − 04

3.186E − 04

1.593E − 04

7.971E − 05

3.986E − 05

2−14

1.269E − 03

6.362E − 04

3.186E − 04

1.593E − 04

7.971E − 05

3.986E − 05

2−15

1.269E − 03

6.362E − 04

3.186E − 04

1.593E − 04

7.971E − 05

3.986E − 05

2−16

1.269E − 03

6.362E − 04

3.186E − 04

1.593E − 04

7.971E − 05

3.986E − 05

2−17

1.269E − 03

6.362E − 04

3.186E − 04

1.593E − 04

7.971E − 05

3.986E − 05

2−18

1.269E − 03

6.362E − 04

3.186E − 04

1.593E − 04

7.971E − 05

3.986E − 05

2−19

1.269E − 03

6.362E − 04

3.186E − 04

1.593E − 04

7.971E − 05

3.986E − 05

2−20

1.269E − 03

6.362E − 04

3.186E − 04

1.593E − 04

7.971E − 05

3.986E − 05

\(E^{N}\)

1.269E − 03

6.362E − 04

3.186E − 04

1.593E − 04

7.971E − 05

3.986E − 05

\(R^{N}\)

9.958E − 01

9.978E − 01

9.996E − 01

9.991E − 01

9.996E − 01

7.166E − 01

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