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Theory and Modern Applications

Table 5 Statistical analysis of absolute errors in term of minimum, mean and standard deviation for different cases of problem 1

From: Application of Legendre polynomials based neural networks for the analysis of heat and mass transfer of a non-Newtonian fluid in a porous channel

η

Case I

Case II

Case III

Case IV

Min

Mean

Std

Min

Mean

Std

Min

Mean

Std

Min

Mean

Std

0.0

5.06E−10

3.68E−05

1.33E−04

1.79E−12

4.09E−04

1.06E−03

1.95E−09

2.32E−04

4.88E−04

2.54E−07

7.76E−04

2.23E−03

0.50

1.69E−08

1.15E−04

1.34E−04

3.86E−08

2.69E−03

4.46E−03

9.56E−07

4.42E−03

5.94E−03

4.59E−07

2.20E−02

2.05E−02

0.10

9.14E−12

1.33E−04

2.17E−04

2.34E−09

2.10E−03

4.21E−03

6.92E−08

2.11E−03

3.93E−03

3.20E−07

8.14E−03

9.62E−03

0.15

5.34E−07

4.08E−05

1.43E−04

2.57E−07

5.64E−04

1.60E−03

2.67E−09

4.51E−04

1.07E−03

2.88E−08

1.65E−03

4.38E−03

0.20

6.62E−09

2.93E−05

6.07E−05

7.17E−08

1.01E−03

1.66E−03

8.97E−07

1.64E−03

2.42E−03

3.28E−09

8.94E−03

7.13E−03

0.25

5.83E−12

8.12E−05

7.04E−05

3.70E−09

1.84E−03

2.59E−03

4.92E−08

2.52E−03

3.60E−03

1.45E−06

9.94E−03

8.22E−03

0.30

1.75E−07

9.52E−05

1.12E−04

1.84E−05

1.48E−03

2.67E−03

7.24E−05

1.28E−03

2.09E−03

7.20E−04

2.82E−03

2.92E−03

0.35

2.74E−07

5.59E−05

1.35E−04

2.05E−09

5.92E−04

1.40E−03

1.12E−06

3.32E−04

6.34E−04

1.41E−08

1.54E−03

2.73E−03

0.40

2.05E−09

3.14E−05

1.57E−04

1.40E−09

6.43E−04

1.62E−03

1.87E−07

1.55E−03

2.50E−03

1.55E−06

8.04E−03

5.50E−03

0.45

8.31E−10

6.24E−05

1.47E−04

1.76E−06

1.66E−03

2.81E−03

3.21E−05

2.84E−03

4.27E−03

9.44E−04

1.01E−02

6.40E−03

0.50

2.10E−07

1.05E−04

1.02E−04

7.88E−06

2.22E−03

2.99E−03

3.63E−04

2.00E−03

4.11E−03

1.03E−03

4.17E−03

5.43E−03

0.55

1.55E−07

9.31E−05

6.93E−05

8.01E−09

1.47E−03

1.97E−03

2.40E−08

6.18E−04

1.79E−03

3.50E−06

1.20E−03

1.74E−03

0.60

3.71E−08

3.91E−05

7.34E−05

8.31E−08

3.85E−04

9.98E−04

5.43E−09

1.13E−03

9.91E−04

2.14E−07

5.95E−03

4.11E−03

0.65

1.80E−09

2.84E−05

1.27E−04

5.69E−10

5.86E−04

1.22E−03

1.66E−05

2.30E−03

2.14E−03

6.56E−04

8.42E−03

4.48E−03

0.70

1.36E−09

9.89E−05

1.97E−04

4.18E−10

2.00E−03

3.42E−03

1.35E−04

1.90E−03

5.18E−03

2.45E−04

3.80E−03

7.29E−03

0.75

6.17E−08

1.54E−04

1.80E−04

3.03E−08

2.58E−03

3.91E−03

5.96E−08

1.48E−03

5.28E−03

6.64E−06

3.44E−03

6.02E−03

0.80

7.90E−08

8.59E−05

6.48E−05

6.83E−08

1.14E−03

1.45E−03

3.20E−08

2.59E−03

2.08E−03

8.39E−05

9.69E−03

6.52E−03

0.85

5.15E−11

1.24E−05

6.33E−05

3.43E−09

2.38E−04

5.03E−04

1.85E−07

1.78E−03

1.18E−03

1.44E−04

5.65E−03

3.32E−03

0.90

4.53E−09

1.89E−04

2.83E−04

2.14E−08

3.18E−03

5.39E−03

6.68E−09

2.28E−03

7.76E−03

6.74E−07

5.66E−03

1.05E−02

0.95

2.45E−08

3.28E−04

3.53E−04

8.58E−07

4.94E−03

7.39E−03

1.86E−05

1.12E−02

1.07E−02

4.29E−05

3.42E−02

2.30E−02

1.00

5.62E−12

2.60E−05

4.75E−05

3.35E−10

3.41E−04

5.99E−04

1.65E−10

2.40E−04

1.00E−03

4.58E−09

4.90E−04

1.48E−03