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Table 2 Numerical values of \(g''(\eta)\) at \(\eta= 1\) for various values of Re compared with the analytic results obtained from (91) with the exponentially small correction (93)

From: Asymptotic solutions on multiple solutions arising from laminar flow in a uniformly porous channel with expanding or contracting walls

Re

Section

α = −0.05

α = 0

α = 0.05

\(g''(1)\)

Numerical

\(g''(1)\)

Numerical

Robinson [9]

\(g''(1)\)

Numerical

−28.142

I

−25.4335

−26.0717

−25.3943

−25.4998

−25.396

−25.3550

−24.5345

−37.519

I

−36.0186

−36.2887

−35.9709

−35.9577

−35.972

−35.9233

−34.0197

−49.008

I

−47.9502

−47.8963

−47.9011

−47.8015

−47.901

−47.8519

−47.7897

−55.934

I

−54.8382

−54.8469

−54.7889

−54.8047

−54.789

−54.7395

−54.7409

−28.139

II

−28.3421

−29.4494

−28.2829

−28.3993

−28.282

−28.2237

−27.7088

−37.791

II

−36.9498

−38.8043

−36.9171

−36.2464

−36.898

−36.8484

−36.5494

−44.717

II

−43.6865

−43.5820

−43.6368

−43.4384

−43.636

−43.5872

−43.4808

−56.008

II

−54.9340

−54.9216

−54.8847

−54.8572

−54.885

−54.8353

−54.8143

−64.296

II

−63.2327

−63.2286

−63.1833

−63.1729

−63.184

−63.1339

−63.1232