Skip to main content

Table 7 Comparative analysis based on global performance operators for each case 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

Cases

Fitness

Time

Generations

Function counts

Mean

SD

Mean

SD

Mean

SD

Mean

SD

1

1

1.62E−18

3.96E−19

6.161589

0.080307

438.39

2.394839

60,977.77

52.5399

2

4.88E−17

1.21E−17

10.20638

0.157212

480.48

4.52709

63,510.95

195.6724

3

6.28E−15

3.18E−15

23.34609

0.940669

625.59

56.40924

83,188.91

5815.303

2

4

5.68E−19

6.54E−19

6.479431

0.068527

434.82

2.844026

60,875.68

55.94963

5

2.02E−17

2.17E−17

10.11654

0.13137

466.38

3.451775

62,892.43

141.2448

6

2.07E−15

2.03E−15

22.62986

0.373598

563.98

5.029167

76,831.1

499.5027

3

7

2.88E−15

1.26E−14

6.495513

0.069642

454.65

7.115746

61,220.97

135.6361

8

8.97E−15

4.91E−14

11.99062

0.182124

494.99

3.208244

64,961.87

161.0217

9

1.12E−14

6.49E−14

22.47932

0.381859

556.48

4.766211

76,010.69

484.2628

4

10

6.76E−14

1.94E−13

6.470362

0.092306

468.14

4.005098

61,468.95

76.0917

11

1.23E−10

3.06E−10

12.02846

0.169871

502.29

6.13204

65,274.93

303.6439

12

2.09E−12

1.43E−12

50.65287

2.698807

705.28

72.3658

12,1735

14711.01

5

13

3.26E−09

3.12E−09

10.06744

0.188208

489.28

9.646353

63,682.09

377.1915

14

2.69E−09

4.75E−09

22.21883

0.396756

546.91

7.305865

74,967.26

732.745

15

1.44E−09

6.89E−09

52.35729

3.308367

745.53

70.99686

130,043.8

14,415.26