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Theory and Modern Applications

Table 13 Solutions obtained for different number of neurons

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

ξ

Exact

θ̂(ξ) (3 neurons)

θ̂(ξ) (5 neurons)

θ̂(ξ) (10 neurons)

0

0.98032800

0.98033066

0.98032478

0.980328074

0.1

0.98052407

0.98052777

0.98052085

0.980524147

0.2

0.98111236

0.98111760

0.98110934

0.981112432

0.3

0.98209312

0.98209990

0.98209052

0.982093168

0.4

0.98346672

0.98347472

0.98346462

0.983466756

0.5

0.98523372

0.98524237

0.98523202

0.985233752

0.6

0.98739483

0.98740350

0.98739332

0.987394863

0.7

0.98995091

0.98995901

0.98994944

0.989950948

0.8

0.99290299

0.99291012

0.99290158

0.992903022

0.9

0.99625224

0.99625835

0.99625110

0.99625226

1

1.00000000

1.00000551

0.99999934

1.000000005