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Table 4 Comparison of maximum absolute errors for Example 2

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

N

\( \varepsilon ={\left(\frac{1}{N}\right)}^{0.25} \)

\( \varepsilon ={\left(\frac{1}{N}\right)}^{0.5} \)

\( \varepsilon ={\left(\frac{1}{N}\right)}^{0.75} \)

\( \varepsilon ={\left(\frac{1}{N}\right)}^{1.0} \)

Present method

16

1.3049e− 06

1.2226e− 06

1.2374e− 06

1.6007e− 06

32

1.7972e− 08

1.7143e− 08

2.1783e− 08

5.6182e− 08

64

2.6954e− 10

2.7457e− 10

5.3161e− 10

5.7507e− 09

128

4.1296e− 12

4.7784e− 12

2.1287e− 11

5.4866e− 10

256

6.0396e− 14

2.8866e− 13

1.4388e− 12

5.0873e− 11

Method in [17]

    

16

2.9718e− 04

4.9658e− 04

8.9268e− 04

1.7181e− 03

32

2.0905e− 05

4.1607e− 05

9.0798e− 05

2.3653e− 04

64

1.4884e− 06

3.4999e− 06

9.8228e− 06

3.9036e− 05

128

1.0650e− 07

3.0026e− 07

1.1659e− 06

7.4775e− 06

256

7.6403e− 09

2.6424e− 08

1.5321e− 07

1.5612e− 06