Table 10 Comparative studies based on values of absolute errors (AE) for Problem III
From: Bio-inspired computational heuristics to study Lane–Emden systems arising in astrophysics model
X | Proposed methods (AE) | Reported (AE) | ||||
|---|---|---|---|---|---|---|
SQP | PS | GA | PS-SQP | GA-SQP | ChNN (Mall and Chakraverty 2014) | |
0 | 4.13E−09 | 3.361E−06 | 6.481E−07 | 6.901E−06 | 6.096E−08 | 0.00E+00 |
0.1 | 1.331E−05 | 5.361E−05 | 3.561E−05 | 6.251E−05 | 9.283E−06 | 2.001E−04 |
0.2 | 8.653E−05 | 0.171E−03 | 0.160E−03 | 0.106E−03 | 7.541E−05 | 0.123E−03 |
0.3 | 0.352E−03 | 0.437E−03 | 0.459E−03 | 0.113E−03 | 0.338E−03 | 0.461E−03 |
0.4 | 0.104E−02 | 0.114E−02 | 0.115E−02 | 0.825E−03 | 0.102E−02 | 0.324E−02 |
0.5 | 0.245E−02 | 0.248E−02 | 0.254E−02 | 0.228E−02 | 0.241E−02 | 0.761E−02 |
0.6 | 0.492E−02 | 0.497E−02 | 0.499E−02 | 0.477E−02 | 0.497E−02 | 0.384E−02 |
0.7 | 0.882E−02 | 0.888E−02 | 0.888E−02 | 0.867E−02 | 0.888E−02 | 0.321E−02 |
0.8 | 0.145E−01 | 0.145E−01 | 0.145E−01 | 0.143E−01 | 0.145E−01 | 0.234E−03 |
0.9 | 0.228E−01 | 0.224E−01 | 0.224E−01 | 0.222E−01 | 0.223E−01 | 0.443E−02 |
1 | 3.270E−02 | 3.274E−02 | 3.274E−02 | 3.259E−02 | 3.269E−02 | 9.000E−04 |