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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