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Table 1 Comparison of maximum absolute errors for Example 1

From: Fourth-order stable central difference with Richardson extrapolation method for second-order self-adjoint singularly perturbed boundary value problems

ε

N = 8

N = 16

N = 32

N = 64

N = 128

N = 256

Present method

  

 2−3

8.4257e− 08

1.3480e− 09

2.1109e− 11

3.3035e− 13

1.2490e− 14

7.4385e− 15

 2−5

8.5202e− 07

1.4078e− 08

2.2312e− 10

3.5109e− 12

5.4401e− 14

2.3620e− 14

 2−8

6.6238e− 05

1.6978e− 06

2.8399e− 08

4.5168e− 10

7.0878e− 12

1.0836e− 13

 2−12

4.5141e− 03

4.1790e− 04

2.1462e− 05

9.9671e− 07

1.8913e− 08

3.0955e− 10

Method in [16]

   

 2−3

1.44e− 03

3.64e− 04

9.06e− 05

2.26e− 05

5.66e− 06

1.41e− 06

 2−5

3.71e− 03

8.57e− 04

2.08e− 04

5.09e− 05

1.26e− 05

3.16e− 06

 2−8

4.63e− 03

1.65e− 03

2.33e− 04

6.09e− 05

1.73e− 05

4.37e− 06

 2−12

6.76e− 02

3.76e− 02

7.40e− 03

6.17e− 04

3.54e− 05

4.74e− 06