Table 7 Comparative studies based on values of absolute errors (AE) for Problem II
From: Bio-inspired computational heuristics to study Lane–Emden systems arising in astrophysics model
X | Proposed methods (AE) | Proposed (AE) | ||||
|---|---|---|---|---|---|---|
SQP | PS | GA | PS-SQP | GA-SQP | ChNN (Mall and Chakraverty 2014) | |
0 | 5.56E−08 | 1.84E−07 | 9.06E−07 | 7.06E−09 | 4.98E−09 | 0.00E+00 |
0.1 | 3.28E−06 | 6.20E−06 | 2.49E−06 | 1.40E−06 | 5.89E−06 | 3.50E−03 |
0.2 | 3.08E−05 | 8.52E−06 | 2.87E−05 | 2.08E−05 | 3.41E−05 | 2.80E−03 |
0.3 | 1.39E−04 | 6.54E−06 | 1.36E−04 | 1.29E−04 | 1.41E−04 | 1.20E−03 |
0.4 | 4.25E−04 | 7.20E−06 | 4.21E−04 | 4.17E−04 | 4.26E−04 | 1.00E−04 |
0.5 | 1.02E−03 | 8.28E−06 | 1.02E−03 | 1.02E−03 | 1.02E−03 | 9.00E−04 |
0.6 | 2.09E−03 | 7.49E−06 | 2.09E−03 | 2.08E−03 | 2.10E−03 | 6.00E−04 |
0.7 | 3.84E−03 | 7.19E−06 | 3.84E−03 | 3.83E−03 | 3.84E−03 | 7.00E−04 |
0.8 | 6.47E−03 | 7.98E−06 | 6.47E−03 | 6.46E−03 | 6.46E−03 | 4.20E−03 |
0.9 | 1.02E−02 | 7.58E−06 | 1.02E−02 | 1.02E−02 | 1.02E−02 | 4.00E−04 |
1 | 1.53E−02 | 7.95E−06 | 1.53E−02 | 1.53E−02 | 1.53E−02 | 1.60E−03 |