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Theory and Modern Applications

Table 1 The maximum absolute errors for Example  1 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

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

1.967E − 06

2−6

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

7.480E − 07

2−7

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.579E − 07

2−8

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

2−9

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

2−10

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

2−11

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

2−12

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

2−13

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

2−14

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

2−15

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

2−16

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

2−17

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

2−18

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

2−19

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

2−20

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

\(E^{N}\)

1.017E − 05

5.086E − 06

2.543E − 06

1.272E − 06

6.358E − 07

5.544E − 07

\(R^{N}\)

1.000E + 00

1.000E + 00

1.000E + 00

1.000E + 00

1.976E − 01

1.284E + 00