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Theory and Modern Applications

Table 6 Absolute errors in solutions for case 1 with \(\psi =0.8\)

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

8.18E–08

8.18E–08

1.93E–04

4.25E–07

0.1

6.17E–06

9.38E–05

1.94E–04

3.98E–07

0.2

9.09E–06

9.09E–05

1.96E–04

3.90E–07

0.3

3.72E–05

3.72E–05

1.99E–04

3.80E–07

0.4

9.95E–06

9.95E–06

2.02E–04

3.53E–07

0.5

1.77E–05

1.77E–05

2.05E–04

3.11E–07

0.6

1.49E–06

1.49E–06

2.04E–04

2.68E–07

0.7

3.53E–05

3.53E–05

1.94E–04

2.40E–07

0.8

2.76E–05

2.76E–05

1.66E–04

2.34E–07

0.9

2.21E–05

2.21E–05

1.09E–04

2.47E–07

1

0.000000

0.000000

0.000000

2.60E–07