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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 5 The maximum absolute errors for Example  5 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

1.576E − 03

9.904E − 03

1.478E − 02

1.051E − 02

5.821E − 03

3.000E − 03

2−6

2.743E − 03

9.310E − 04

1.032E − 02

1.511E − 02

1.067E − 02

5.887E − 03

2−7

2.766E − 03

1.378E − 03

1.304E − 03

1.053E − 02

1.528E − 02

1.075E − 02

2−8

2.766E − 03

1.402E − 03

6.817E − 04

1.656E − 03

1.063E − 02

1.538E − 02

2−9

2.766E − 03

1.402E − 03

7.056E − 04

3.299E − 04

1.832E − 03

1.074E − 02

2−10

2.766E − 03

1.402E − 03

7.056E − 04

3.540E − 04

1.531E − 04

1.920E − 03

2−11

2.766E − 03

1.402E − 03

7.056E − 04

3.540E − 04

1.772E − 04

6.508E − 05

2−12

2.766E − 03

1.402E − 03

7.056E − 04

3.540E − 04

1.772E − 04

8.922E − 05

2−13

2.766E − 03

1.402E − 03

7.056E − 04

3.540E − 04

1.772E − 04

8.922E − 05

2−14

2.766E − 03

1.402E − 03

7.056E − 04

3.540E − 04

1.772E − 04

8.922E − 05

2−15

2.766E − 03

1.402E − 03

7.056E − 04

3.540E − 04

1.772E − 04

8.922E − 05

2−16

2.766E − 03

1.402E − 03

7.056E − 04

3.540E − 04

1.772E − 04

8.922E − 05

2−17

2.766E − 03

1.402E − 03

7.056E − 04

3.540E − 04

1.772E − 04

8.922E − 05

2−18

2.766E − 03

1.402E − 03

7.056E − 04

3.540E − 04

1.772E − 04

8.922E − 05

2−19

2.766E − 03

1.402E − 03

7.056E − 04

3.540E − 04

1.772E − 04

8.922E − 05

2−20

2.766E − 03

1.402E − 03

7.056E − 04

3.540E − 04

1.772E − 04

8.922E − 05

\(E^{N}\)

2.766E − 03

1.402E − 03

7.056E − 04

3.540E − 04

1.772E − 04

8.922E − 05

\(R^{N}\)

9.806E − 01

9.904E − 01

9.952E − 01

9.979E − 01

9.902E − 01

9.943E − 01

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