Table 2 Comparison between with and without Richardson methods of maximum absolute errors for Example 1

8.4257e− 08

1.3480e− 09

2.1109e− 11

3.3035e− 13

1.2490e− 14

7.4385e− 15

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

 2⁻³

1.9663e− 05

1.2739e− 06

8.1142e− 08

5.0815e− 09

3.1775e− 10

1.9855e− 11

 2⁻⁵

1.4465e− 04

9.7270e− 06

6.1899e− 07

3.8861e− 08

2.4324e− 09

1.5212e− 10

 2⁻⁸

7.1344e− 03

5.8790e− 04

3.6784e− 05

2.3006e− 06

1.4381e− 07

9.0025e− 09

 2⁻¹²

7.6315e− 02

3.7522e− 02

7.8643e− 03

6.9834e− 04

4.4580e− 05

2.8040e− 06