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Table 5 Comparison of trained parameters along with their fitness for GA and GA-SQP algorithms in case of problem 3

From: Memetic computing through bio-inspired heuristics integration with sequential quadratic programming for nonlinear systems arising in different physical models

Method Proposed solutions ɛ
t 1 t 2 t 3 t 4 t 5
GA-1 0.03228963 2.85389240 0.21989919 −0.85284380 0.03635484 6.6071E−05
GA-2 0.03754135 2.38952055 0.23779156 0.85132675 0.03623233 9.0098E−05
GA-3 0.06308618 1.18624138 0.32683618 0.84488974 0.03568812 2.6746E−04
GA-4 0.05434276 1.46521255 0.29761121 −0.84773318 0.03592740 1.9541E−04
GA-5 0.02704748 3.51739016 0.19943025 0.85423864 0.03648805 4.5340E−05
GA-6 0.02302472 4.24026955 0.18171406 0.85266824 0.03634051 3.8101E−05
GA-7 0.06294020 1.18814861 0.32687402 −0.84344415 0.03555521 2.6983E−04
GA-8 0.06329114 1.14885683 −0.33415631 −0.84616131 0.03575514 2.8793E−04
GA-9 0.03477842 2.60523708 0.22955001 0.85209604 0.03630524 7.6619E−05
GA-10 0.03333412 2.61711165 0.23398167 0.85554477 0.03670055 1.2481E−04
GA-11 0.06151041 1.23009392 −0.32203695 −0.84478930 0.03567868 2.5537E−04
GA-12 0.05962671 1.14482903 0.33821936 −0.83854375 0.03516478 3.9369E−04
GA-SQP-1 0.00275613 39.25753931 −0.06137573 0.85972527 0.03698507 6.6525E−16
GA-SQP-2 0.00311281 34.61266395 0.06502805 0.85937893 0.03695189 1.4845E−15
GA-SQP-3 0.00275605 39.25869183 −0.06137484 0.85972528 0.03698507 4.2918E−16
GA-SQP-4 0.00275616 39.25721209 −0.06137599 0.85972527 0.03698506 4.0331E−17
GA-SQP-5 0.00275615 39.25724045 −0.06137596 0.85972527 0.03698506 3.6564E−16
GA-SQP-6 0.00275614 39.25739493 −0.06137584 0.85972527 0.03698507 4.1288E−16
GA-SQP-7 0.00311297 34.61091320 0.06502969 0.85937892 0.03695189 2.6794E−16
GA-SQP-8 0.00311298 34.61075588 0.06502984 0.85937892 0.03695189 1.5478E−16
GA-SQP-9 0.00311294 34.61123963 0.06502938 0.85937892 0.03695189 1.3468E−15
GA-SQP-10 0.00275615 39.25730254 −0.06137592 0.85972527 0.03698506 4.0902E−16
GA-SQP-11 0.00275613 39.25760857 −0.06137568 0.85972527 0.03698507 6.9394E−16
GA-SQP-12 0.00311298 34.61075277 0.06502984 0.85937892 0.03695189 6.8128E−16