Skip to main content

Table 4 Results of statistical operator at intermediated inputs for selected cases and scenarios of Thomas–Fermi equation

From: A new numerical approach to solve Thomas–Fermi model of an atom using bio-inspired heuristics integrated with sequential quadratic programming

Scenario

Cases

t

Statistical indices

Scenario

Case

t

Statistical indices

Min

Mean

SD

Min

Mean

SD

1

1

0.02

0.96585

0.96585

3.51E−11

2

3

0.1

0.883944

0.883944

1.37E−10

0.08

0.876674

0.876674

6.80E−11

0.4

0.65996

0.65996

5.50E−10

0.14

0.79854

0.79854

4.98E−11

0.7

0.519596

0.519596

9.70E−10

0.2

0.727403

0.727403

5.79E−11

1

0.421072

0.421072

1.39E−09

0.26

0.661314

0.661314

1.27E−10

1.3

0.34772

0.34772

1.80E−09

0.32

0.59905

0.59905

2.10E−10

1.6

0.290828

0.290828

2.18E−09

0.38

0.539755

0.539755

2.91E−10

1.9

0.245241

0.245241

2.53E−09

0.44

0.482787

0.482787

3.63E−10

2.2

0.20767

0.20767

2.81E−09

0.5

0.427647

0.427647

4.20E−10

2.5

0.175894

0.175894

3.02E−09

0.56

0.373937

0.373937

4.58E−10

2.8

0.148352

0.148352

3.14E−09

0.62

0.321333

0.321333

4.73E−10

3.1

0.123906

0.123906

3.15E−09

0.68

0.269564

0.269564

4.63E−10

3.4

0.101707

0.101707

3.03E−09

0.74

0.21841

0.21841

4.27E−10

3.7

0.081102

0.081102

2.77E−09

0.8

0.167686

0.167686

3.66E−10

4

0.061587

0.061587

2.37E−09

0.86

0.11724

0.11724

2.80E−10

4.3

0.042767

0.042767

1.81E−09

0.92

0.066953

0.066953

1.72E−10

4.6

0.024337

0.024337

1.12E−09

0.98

0.016734

0.016734

4.78E−11

4.9

0.006074

0.006074

3.14E−10