Skip to main content

Theory and Modern Applications

Table 3 The maximum absolute errors for Example  3 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

2.074E − 02

5.496E − 03

1.395E − 03

3.503E − 04

8.744E − 05

4.587E − 05

2−6

3.534E − 02

1.073E − 02

2.853E − 03

7.243E − 04

1.816E − 04

6.401E − 05

2−7

4.558E − 02

1.801E − 02

5.495E − 03

1.456E − 03

3.697E − 04

1.040E − 04

2−8

4.727E − 02

2.316E − 02

9.148E − 03

2.781E − 03

7.368E − 04

1.916E − 04

2−9

4.730E − 02

2.402E − 02

1.167E − 02

4.611E − 03

1.399E − 03

3.722E − 04

2−10

4.730E − 02

2.403E − 02

1.210E − 02

5.860E − 03

2.314E − 03

7.028E − 04

2−11

4.730E − 02

2.403E − 02

1.211E − 02

6.076E − 03

2.935E − 03

1.160E − 03

2−12

4.730E − 02

2.403E − 02

1.211E − 02

6.080E − 03

3.044E − 03

1.473E − 03

2−13

4.730E − 02

2.403E − 02

1.211E − 02

6.080E − 03

3.046E − 03

1.526E − 03

2−14

4.730E − 02

2.403E − 02

1.211E − 02

6.080E − 03

3.046E − 03

1.527E − 03

2−15

4.730E − 02

2.403E − 02

1.211E − 02

6.080E − 03

3.046E − 03

1.527E − 03

2−16

4.730E − 02

2.403E − 02

1.211E − 02

6.080E − 03

3.046E − 03

1.527E − 03

2−17

4.730E − 02

2.403E − 02

1.211E − 02

6.080E − 03

3.046E − 03

1.527E − 03

2−18

4.730E − 02

2.403E − 02

1.211E − 02

6.080E − 03

3.046E − 03

1.527E − 03

2−19

4.730E − 02

2.403E − 02

1.211E − 02

6.080E − 03

3.046E − 03

1.527E − 03

2−20

4.730E − 02

2.403E − 02

1.211E − 02

6.080E − 03

3.046E − 03

1.527E − 03

\(E^{N}\)

4.730E − 02

2.403E − 02

1.211E − 02

6.080E − 03

3.046E − 03

1.527E − 03

\(R^{N}\)

9.769E − 01

9.886E − 01

9.941E − 01

9.972E − 01

9.965E − 01

1.002E + 00