Skip to main content

Table 3 Comparison of the performance on the basis of absolute values of constitutional equations of problem 1

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

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

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

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

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

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

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

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

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

GA-1

1.81E−04

2.85E−05

3.00E−05

1.96E−04

GA-SQP-1

7.48E−09

2.68E−09

4.22E−09

8.44E−09

GA-2

6.14E−03

8.59E−04

8.89E−04

6.96E−03

GA-SQP-2

7.48E−09

2.68E−09

4.22E−09

8.43E−09

GA-3

3.19E−02

8.07E−03

1.57E−02

3.83E−02

GA-SQP-3

7.48E−09

2.68E−09

4.22E−09

8.43E−09

GA-4

3.48E−03

6.64E−05

2.22E−03

4.21E−03

GA-SQP-4

7.48E−09

2.68E−09

4.22E−09

8.43E−09

GA-5

2.74E−03

6.52E−04

6.89E−04

2.88E−03

GA-SQP-5

7.48E−09

2.68E−09

4.22E−09

8.43E−09

GA-6

2.16E−05

6.80E−06

1.46E−05

2.88E−05

GA-SQP-6

7.48E−09

2.68E−09

4.22E−09

8.43E−09

GA-7

1.02E−02

3.92E−03

3.01E−03

9.15E−03

GA-SQP-7

7.48E−09

2.68E−09

4.22E−09

8.43E−09

GA-8

1.84E−02

5.89E−03

1.00E−02

1.83E−02

GA-SQP-8

5.42E−09

3.58E−10

3.06E−09

9.85E−09

GA-9

7.89E−03

1.73E−03

3.00E−03

7.74E−03

GA-SQP-9

7.48E−09

2.68E−09

4.22E−09

8.43E−09

GA-10

8.50E−05

7.18E−05

7.49E−05

6.08E−05

GA-SQP-10

7.48E−09

2.68E−09

4.22E−09

8.43E−09

GA-11

4.72E−02

5.69E−03

1.38E−02

5.16E−02

GA-SQP-11

7.48E−09

2.68E−09

4.22E−09

8.44E−09

GA -12

6.53E−03

3.53E−04

6.19E−04

6.54E−03

GA-SQP-12

7.48E−09

2.68E−09

4.22E−09

8.43E−09