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Table 8 Comparison of the performance on the basis of absolute values of constitutional equations of problem 4

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

Method Absolute values
\(f_{1} ({\mathbf{t}})\) \(f_{2} ({\mathbf{t}})\) \(f_{3} ({\mathbf{t}})\) \(f_{4} ({\mathbf{t}})\) \(f_{5} ({\mathbf{t}})\) \(f_{6} ({\mathbf{t}})\)
GA-1 2.99E−09 5.85E−08 6.21E−08 2.27E−08 9.66E−08 4.62E−08
GA-2 4.46E−07 2.28E−07 7.66E−07 3.32E−07 4.80E−07 3.88E−07
GA-3 4.12E−07 9.72E−08 3.08E−07 1.61E−07 6.44E−08 7.22E−08
GA-4 2.08E−06 5.00E−06 2.69E−06 1.65E−06 1.48E−07 7.48E−07
GA-5 4.00E−08 3.44E−08 1.02E−07 2.48E−08 5.67E−08 2.34E−08
GA-6 5.64E−08 5.66E−08 7.50E−07 4.91E−07 8.33E−08 1.97E−07
GA-7 2.10E−08 1.22E−08 1.24E−08 8.73E−09 1.57E−08 1.13E−08
GA-8 1.78E−05 3.74E−05 3.49E−05 2.57E−06 1.38E−05 5.94E−06
GA-9 1.77E−07 4.37E−08 7.95E−10 2.26E−07 9.64E−08 9.50E−08
GA-10 2.15E−07 2.14E−07 1.48E−06 1.11E−06 7.78E−07 3.02E−07
GA-11 1.14E−06 3.37E−07 4.02E−06 1.25E−06 1.86E−06 4.58E−07
GA-12 1.78E−05 3.23E−05 4.00E−05 4.73E−05 3.28E−05 2.35E−05
GA-SQP-1 5.72E−12 4.20E−12 3.08E−13 8.00E−15 8.73E−14 2.64E−14
GA-SQP-2 3.67E−11 3.63E−11 7.92E−13 9.68E−13 1.21E−12 1.08E−12
GA-SQP-3 1.17E−12 1.33E−11 7.56E−12 4.28E−12 7.02E−12 6.43E−12
GA-SQP-4 7.27E−12 1.91E−12 1.64E−12 2.48E−13 9.48E−13 6.52E−13
GA-SQP-5 4.56E−13 3.24E−11 2.31E−12 4.38E−12 2.00E−12 3.16E−12
GA-SQP-6 6.32E−13 1.44E−11 6.68E−12 1.32E−12 2.29E−12 2.02E−12
GA-SQP-7 5.52E−12 8.59E−12 1.05E−13 8.91E−12 5.52E−13 2.18E−12
GA-SQP-8 4.19E−12 1.64E−11 4.45E−12 1.27E−12 2.56E−12 1.80E−12
GA-SQP-9 4.80E−12 1.25E−11 2.00E−12 1.55E−12 1.71E−12 6.34E−13
GA-SQP-10 8.82E−12 3.30E−12 1.07E−12 1.58E−12 2.31E−13 7.05E−13
GA-SQP-11 6.73E−12 1.04E−11 1.22E−11 6.17E−12 8.42E−12 1.55E−11
GA-SQP-12 6.51E−12 3.04E−13 2.06E−12 3.33E−12 7.03E−13 5.12E−12