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Table 3 Results of statistical indices at intermediated inputs in case 1 of all five 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

Inputs

Statistical Operators

Scenario

Inputs

Statistical Operators

t

Min

Mean

SD

t

Min

Mean

SD

1

0.1

0.851971

0.851971

4.52E−12

2

0.5

0.626064

0.626064

4.02E−11

0.2

0.729282

0.729282

7.13E−12

1

0.432718

0.432718

7.77E−11

0.3

0.62099

0.62099

8.72E−12

1.5

0.315987

0.315987

1.15E−10

0.4

0.521817

0.521817

9.35E−12

2

0.237314

0.237314

1.46E−10

0.5

0.428691

0.428691

9.18E−12

2.5

0.17976

0.17976

1.67E−10

0.6

0.339585

0.339585

8.31E−12

3

0.134563

0.134563

1.74E−10

0.7

0.253065

0.253065

6.81E−12

3.5

0.096649

0.096649

1.61E−10

0.8

0.168091

0.168091

4.80E−12

4

0.062842

0.062842

1.27E−10

0.9

0.083907

0.083907

2.47E−12

4.5

0.031067

0.031067

7.40E−11

3

2.5

0.264695

0.264695

2.36E−09

4

5

0.154691

0.154691

7.11E−09

5

0.098161

0.098161

8.86E−09

10

0.035118

0.035118

4.84E−08

7.5

0.048052

0.048052

2.12E−08

15

0.013087

0.013087

1.56E−07

10

0.027592

0.027592

3.87E−08

20

0.006575

0.006575

3.39E−07

12.5

0.017323

0.017323

5.87E−08

25

0.003821

0.003821

5.80E−07

15

0.011384

0.011384

7.65E−08

30

0.002387

0.002388

8.23E−07

17.5

0.007506

0.007507

8.53E−08

35

0.001523

0.001524

9.78E−07

20

0.004642

0.004642

7.66E−08

40

0.000924

0.000925

9.20E−07

22.5

0.002241

0.002241

5.16E−08

45

0.000442

0.000442

6.49E−07