From: Bio-inspired computational heuristics to study Lane–Emden systems arising in astrophysics model
Methods | x | Min | Max | Mean | Median | STD | Variance | MSE |
---|---|---|---|---|---|---|---|---|
SQP | 0.1 | 2.06E−09 | 1.58E−05 | 3.35E−06 | 2.71E−06 | 2.81E−06 | 7.92E−12 | 3.35E−06 |
0.3 | 3.54E−07 | 7.33E−05 | 1.39E−05 | 1.10E−05 | 1.19E−05 | 1.41E−10 | 1.39E−05 | |
0.5 | 3.19E−08 | 1.03E−04 | 1.23E−05 | 8.93E−06 | 1.32E−05 | 1.74E−10 | 1.23E−05 | |
0.7 | 3.07E−07 | 8.17E−05 | 1.06E−05 | 7.53E−06 | 1.07E−05 | 1.15E−10 | 1.06E−05 | |
0.9 | 4.25E−07 | 7.35E−05 | 1.19E−05 | 9.49E−06 | 1.08E−05 | 1.16E−10 | 1.19E−05 | |
PS | 0.1 | 8.94E−07 | 1.24E−03 | 2.73E−04 | 2.08E−04 | 4.82E−05 | 2.32E−09 | 2.95E−05 |
0.3 | 1.71E−06 | 1.52E−03 | 4.66E−04 | 3.66E−04 | 1.09E−04 | 1.20E−08 | 4.73E−05 | |
0.5 | 2.67E−06 | 1.39E−03 | 4.76E−04 | 3.61E−04 | 1.06E−04 | 1.12E−08 | 4.74E−05 | |
0.7 | 3.82E−07 | 1.56E−03 | 4.52E−04 | 3.65E−04 | 8.49E−05 | 7.20E−09 | 4.54E−05 | |
0.9 | 1.56E−06 | 1.52E−03 | 4.65E−04 | 3.42E−04 | 1.01E−04 | 1.01E−08 | 4.74E−05 | |
PS-SQP | 0.1 | 7.20E−08 | 3.51E−04 | 2.95E−05 | 1.14E−05 | 2.65E−04 | 7.02E−08 | 2.73E−04 |
0.3 | 3.38E−07 | 9.57E−04 | 4.73E−05 | 1.72E−05 | 3.78E−04 | 1.43E−07 | 4.65E−04 | |
0.5 | 3.73E−07 | 8.88E−04 | 4.74E−05 | 1.66E−05 | 3.87E−04 | 1.50E−07 | 4.76E−04 | |
0.7 | 2.18E−07 | 6.01E−04 | 4.54E−05 | 1.81E−05 | 3.72E−04 | 1.39E−07 | 4.52E−04 | |
0.9 | 1.37E−07 | 8.15E−04 | 4.74E−05 | 1.70E−05 | 3.86E−04 | 1.49E−07 | 4.65E−04 | |
GA | 0.1 | 1.34E−07 | 1.55E−03 | 1.65E−04 | 7.79E−05 | 2.54E−04 | 6.45E−08 | 1.65E−04 |
0.3 | 1.75E−07 | 2.86E−03 | 3.20E−04 | 2.13E−04 | 3.83E−04 | 1.47E−07 | 3.20E−04 | |
0.5 | 1.79E−07 | 5.57E−03 | 4.23E−04 | 1.66E−04 | 7.39E−04 | 5.46E−07 | 4.23E−04 | |
0.7 | 1.07E−05 | 5.82E−03 | 4.59E−04 | 1.52E−04 | 8.02E−04 | 6.43E−07 | 4.59E−04 | |
0.9 | 1.39E−06 | 4.39E−03 | 3.85E−04 | 1.67E−04 | 6.13E−04 | 3.76E−07 | 3.85E−04 | |
GA-SQP | 0.1 | 2.42E−07 | 3.68E−05 | 5.58E−06 | 4.46E−06 | 2.54E−04 | 6.45E−08 | 5.58E−06 |
0.3 | 4.71E−08 | 5.00E−05 | 1.19E−05 | 7.77E−06 | 3.83E−04 | 1.47E−07 | 1.18E−05 | |
0.5 | 1.01E−07 | 5.00E−05 | 9.80E−06 | 7.51E−06 | 7.39E−04 | 5.46E−07 | 9.80E−06 | |
0.7 | 7.70E−07 | 5.10E−05 | 9.94E−06 | 7.26E−06 | 8.02E−04 | 6.43E−07 | 9.94E−06 | |
0.9 | 1.20E−07 | 5.21E−05 | 1.07E−05 | 7.77E−06 | 6.13E−04 | 3.76E−07 | 1.07E−05 |