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Table 11 Comparison of the performance on the basis of absolute values of constitutional equations of problem 6

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

Method

Absolute values

Method

Absolute values

\(f_{1} ({\mathbf{t}})\)

\(f_{2} ({\mathbf{t}})\)

\(f_{3} ({\mathbf{t}})\)

\(f_{4} ({\mathbf{t}})\)

\(f_{5} ({\mathbf{t}})\)

\(f_{1} ({\mathbf{t}})\)

\(f_{2} ({\mathbf{t}})\)

\(f_{3} ({\mathbf{t}})\)

\(f_{4} ({\mathbf{t}})\)

\(f_{5} ({\mathbf{t}})\)

GA-1

1.9E−06

3.0E−05

2.3E−05

3.3E−05

6.0E−05

GA-SQP-1

1.1E−16

0.0E+00

0.0E+00

0.0E+00

1.1E−16

GA-2

2.9E−05

1.2E−05

3.2E−05

1.8E−05

1.3E−05

GA-SQP-2

2.2E−16

0.0E+00

0.0E+00

0.0E+00

1.1E−16

GA-3

1.6E−03

4.2E−04

2.8E−03

1.8E−03

2.1E−03

GA-SQP-3

0.0E+00

2.2E−16

4.4E−16

2.2E−16

0.0E+00

GA-4

4.3E−04

4.8E−05

4.4E−04

2.0E−03

2.0E−03

GA-SQP-4

0.0E+00

0.0E+00

0.0E+00

2.2E−16

0.0E+00

GA-5

8.4E−06

7.0E−06

1.5E−06

1.1E−05

3.1E−05

GA-SQP-5

0.0E+00

2.2E−16

0.0E+00

0.0E+00

0.0E+00

GA-6

2.8E−05

1.8E−05

4.4E−05

2.2E−05

1.1E−04

GA-SQP-6

0.0E+00

2.2E−16

0.0E+00

0.0E+00

0.0E+00

GA-7

6.2E−04

1.1E−04

4.2E−04

3.6E−04

9.8E−04

GA-SQP-7

0.0E+00

2.2E−16

0.0E+00

0.0E+00

0.0E+00

GA-8

5.3E−05

5.6E−04

9.0E−04

1.2E−03

2.4E−03

GA-SQP-8

1.1E−16

0.0E+00

0.0E+00

0.0E+00

0.0E+00

GA-9

6.1E−05

6.4E−06

1.4E−05

4.4E−05

4.4E−06

GA-SQP-9

0.0E+00

0.0E+00

0.0E+00

1.1E−16

1.1E−16

GA-10

2.9E−04

2.6E−04

2.7E−04

1.6E−04

4.7E−04

GA-SQP-10

2.2E−16

0.0E+00

0.0E+00

0.0E+00

0.0E+00

GA-11

1.5E−03

5.4E−04

1.8E−04

8.4E−04

1.1E−03

GA-SQP-11

0.0E+00

0.0E+00

0.0E+00

1.1E−16

0.0E+00

GA -12

1.1E−04

3.4E−04

5.5E−04

6.9E−04

1.9E−03

GA-SQP-12

0.0E+00

0.0E+00

0.0E+00

0.0E+00

1.1E−16