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Theory and Modern Applications

Table 15 Solutions obtained for different values of discovery probability (pa)

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

ξ

Exact

θ̂(ξ) (pa = 0.01)

θ̂(ξ) (pa = 0.15)

θ̂(ξ) (pa = 0.3)

0

0.98032800

0.98033472

0.98032852

0.980328074

0.1

0.98052407

0.98053054

0.98052459

0.980524147

0.2

0.98111236

0.98111799

0.98111282

0.981112432

0.3

0.98209312

0.98209766

0.98209346

0.982093168

0.4

0.98346672

0.98347050

0.98346697

0.983466756

0.5

0.98523372

0.98523725

0.98523392

0.985233752

0.6

0.98739483

0.98739841

0.98739504

0.987394863

0.7

0.98995091

0.98995441

0.98995115

0.989950948

0.8

0.99290299

0.99290589

0.99290322

0.992903022

0.9

0.99625224

0.99625393

0.99625240

0.99625226

1

1.00000000

1.00000029

1.00000006

1.000000005