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Table 7 Comparison of trained parameters along with their fitness for GA and GA-SQP algorithms in case of problem 4

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 t 6
GA-1 0.46763361 −0.33451289 0.88392240 −0.94239114 −0.00000019 0.00000009 3.2086E−15
GA-2 0.99936492 −0.62752141 −0.03562736 0.77859916 −0.00000002 0.00000126 2.2147E−13
GA-3 0.24762472 0.95525282 0.96885624 −0.29579072 −0.00000035 0.00000019 5.1515E−14
GA-4 −0.05955973 −0.91317817 −0.99822579 0.40756671 0.00000306 −0.00000217 6.6386E−12
GA-5 −0.91497150 −0.59493980 −0.40351842 −0.80377028 0.00000008 −0.00000018 2.9425E−15
GA-6 0.00637146 0.92806866 0.99997967 −0.37240907 0.00000066 0.00000061 1.4258E−13
GA-7 0.70302906 −0.48804791 −0.71116111 0.87281683 0.00000002 −0.00000003 1.9908E−16
GA-8 −0.39538307 0.98389132 0.91850661 −0.17866286 0.00004137 −0.00000002 5.2853E−10
GA-9 −0.88160354 0.49496188 −0.47199049 −0.86891466 0.00000031 −0.00000009 1.7079E−14
GA-10 0.60385584 −0.97776199 0.79709341 −0.20971714 0.00000222 0.00000171 7.0492E−13
GA-11 −0.81473843 0.27084100 0.57982768 0.96262427 −0.00000213 0.00000511 3.8003E−12
GA-12 0.70613629 −0.93203731 −0.70808850 −0.36240691 0.00008539 −0.00002124 1.1376E−09
GA-SQP-1 0.28971734 0.00668370 0.95711225 0.99997766 0.00000000 0.00000000 8.4176E−24
GA-SQP-2 0.64464707 −0.70847890 −0.76448032 0.70573200 0.00000000 0.00000000 1.4960E−23
GA-SQP-3 0.21239967 0.58108779 −0.97718288 0.81384088 0.00000000 0.00000000 5.3650E−24
GA-SQP-4 −0.99315627 0.58140420 0.11679307 −0.81361487 0.00000000 0.00000000 1.0099E−23
GA-SQP-5 0.91699104 0.89690900 0.39890780 0.44221515 0.00000000 0.00000000 1.8177E−22
GA-SQP-6 −0.22521963 0.57489425 0.97430802 0.81822772 0.00000000 0.00000000 4.3799E−23
GA-SQP-7 −0.97134152 0.04316905 −0.23768813 0.99906778 0.00000000 0.00000000 3.1433E−23
GA-SQP-8 −0.57465370 −0.99701922 −0.81839668 −0.07715361 0.00000000 0.00000000 5.2944E−23
GA-SQP-9 0.81550584 −0.34778348 0.57874884 0.93757488 0.00000000 0.00000000 3.1435E−23
GA-SQP-10 −0.97410591 0.98078519 −0.22609217 0.19509079 0.00000000 0.00000000 1.5465E−23
GA-SQP-11 −0.60502940 −0.52408103 −0.79620313 0.85166840 0.00000000 0.00000000 1.0865E−22
GA-SQP-12 0.96895420 −0.90489448 −0.24724029 −0.42563598 0.00000000 0.00000000 1.4094E−23