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Theory and Modern Applications

Table 17 Solutions obtained for different population sizes

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

ξ

Exact

θ̂(ξ) (pop = 20)

θ̂(ξ) (pop = 30)

θ̂(ξ) (pop = 50)

0

0.98032800

0.98034833

0.98032832

0.980328074

0.1

0.98052407

0.98054432

0.98052459

0.980524147

0.2

0.98111236

0.98112991

0.98111297

0.981112432

0.3

0.98209312

0.98210581

0.98209368

0.982093168

0.4

0.98346672

0.98347487

0.98346720

0.983466756

0.5

0.98523372

0.98523952

0.98523415

0.985233752

0.6

0.98739483

0.98740070

0.98739529

0.987394863

0.7

0.98995091

0.98995790

0.98995148

0.989950948

0.8

0.99290299

0.99290998

0.99290371

0.992903022

0.9

0.99625224

0.99625658

0.99625313

0.99625226

1

1.00000000

0.99999987

1.00000106

1.000000005