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Theory and Modern Applications

Table 4 Absolute errors in solutions for case 1 with \(\psi =0.2\)

From: Solutions of fractional order differential equations modeling temperature distribution in convective straight fins design

ξ

HPM [6]

VIM [52]

HPSTM [21]

ANN–BHCS

0

2.80E–05

2.80E–05

2.36E–09

7.68E–08

0.1

2.41E–05

2.41E–05

6.98E–08

7.71E–08

0.2

0.00061

1.24E–05

3.65E–07

6.76E–08

0.3

6.88E–06

9.31E–05

1.17E–07

5.06E–08

0.4

3.33E–05

6.67E–05

2.79E–07

3.51E–08

0.5

3.37E–05

3.37E–05

2.76E–07

2.79E–08

0.6

5.17E–06

9.48E–05

1.67E–07

2.95E–08

0.7

4.91E–05

5.09E–05

8.59E–08

3.41E–08

0.8

2.99E–06

2.99E–06

1.16E–08

3.36E–08

0.9

4.78E–05

5.22E–05

2.37E–07

2.25E–08

1

0.000000

0.000000

0.000000

4.68E–09