Table 7 Statistical analysis of absolute error of \(z\left(t\right)\) between reference and LENN-FA-AOA solution for scenario 1 across multiple runs.

From: Legendre based neural networks integrated with heuristic algorithms for the analysis of Lorenz chaotic model: an intelligent and comparative study

\(t\)

\(min\)

\(max\)

\(average\)

\(S.D\)

0

5.68E-10

8.98E-04

4.49E-04

2.07E-04

0.1

8.91E-08

5.96E-04

2.98E-04

6.93E-05

0.2

3.99E-08

5.71E-04

2.86E-04

5.57E-04

0.3

4.76E-08

8.85E-04

4.43E-04

8.00E-04

0.4

4.25E-08

5.39E-04

2.69E-04

1.84E-04

0.5

9.90E-08

6.99E-04

3.50E-04

4.03E-04

0.6

8.59E-09

3.79E-04

1.90E-04

2.23E-04

0.7

4.57E-08

7.85E-04

3.93E-04

9.25E-04

0.8

3.15E-09

8.44E-04

4.22E-05

9.59E-04

0.9

5.68E-08

8.64E-04

4.32E-04

2.82E-04

1

4.85E-08

9.38E-04

4.69E-04

8.85E-04