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Table 6 Comparison of the performance on the basis of absolute values of constitutional equations of problem 3

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

1.5E−02

8.7E−03

4.3E−03

4.1E−04

5.2E−04

GA-SQP-1

4.3E−08

9.2E−09

3.2E−08

3.5E−10

2.0E−08

GA-2

1.9E−02

9.9E−03

2.6E−03

2.9E−04

1.5E−03

GA-SQP-2

2.2E−07

1.2E−07

5.6E−08

3.1E−10

2.7E−09

GA-3

3.1E−02

1.7E−02

9.5E−03

1.9E−04

5.3E−04

GA-SQP-3

1.4E−07

8.2E−08

4.5E−08

2.7E−10

9.7E−10

GA-4

2.6E−02

1.6E−02

6.7E−03

1.6E−04

1.9E−04

GA-SQP-4

7.0E−09

1.0E−09

1.2E−08

9.2E−10

2.9E−10

GA-5

1.3E−02

7.2E−03

3.7E−03

2.8E−05

5.9E−05

GA-SQP-5

1.2E−08

2.4E−08

2.6E−08

1.8E−10

2.0E−08

GA-6

1.2E−02

4.5E−03

2.5E−03

5.9E−04

5.3E−03

GA-SQP-6

2.8E−08

1.5E−08

2.7E−08

3.4E−10

1.8E−08

GA-7

3.1E−02

1.6E−02

1.1E−02

5.5E−04

3.0E−03

GA-SQP-7

3.1E−08

1.3E−08

1.3E−08

3.2E−10

3.1E−09

GA-8

2.9E−02

2.1E−02

1.3E−02

1.7E−03

1.4E−03

GA-SQP-8

4.8E−09

2.6E−08

3.8E−09

1.7E−10

8.6E−09

GA-9

1.6E−02

9.4E−03

4.9E−03

1.2E−06

6.0E−04

GA-SQP-9

7.1E−08

1.6E−08

3.5E−08

2.9E−10

1.4E−08

GA-10

1.0E−02

1.5E−02

1.5E−02

4.0E−03

6.9E−03

GA-SQP-10

2.4E−08

2.6E−08

2.0E−08

4.6E−10

2.1E−08

GA-11

3.0E−02

1.7E−02

9.4E−03

1.6E−04

2.0E−03

GA-SQP-11

4.8E−08

4.7E−10

3.0E−08

3.4E−10

1.6E−08

GA -12

2.2E−02

2.4E−02

2.5E−02

3.1E−04

1.6E−02

GA-SQP-12

2.5E−08

3.1E−08

3.3E−08

3.0E−10

2.7E−08