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Table 10 Comparison of the values of \(\beta =\varUpsilon ^{\frac{1}{2}}\), \(f''(0)\), \(\theta (1)\), and \(-\theta '(0)\) using 20th-order HAM via Mathematica package BVPh2.0 approximation and shooting method for the case \(\beta =0.2\), \(I_{0}=0\), \(\lambda =0.2\), \(A=0.3\), \(N=0.2\), \(M=1\), \(\mathit{Pr} =1\), \(\mathit{Ma}=1\) and several values of S

From: Suction/injection effects on an unsteady MHD Casson thin film flow with slip and uniform thickness over a stretching sheet along variable flow properties

S

HAM

BVP4C

β

\(f''(0)\)

θ(1)

\(-\theta '(0)\)

β

\(f''(0)\)

θ(1)

\(-\theta '(0)\)

0.4

1.927011

−0.036380

0.378317

1.41000

1.927011

−0.036377

0.378316

1.41002

0.6

1.627012

−0.034292

0.35886

1.47003

1.627012

−0.034288

0.358859

1.47006

0.8

1.327013

−0.038051

0.393797

1.36371

1.327013

−0.038048

0.393796

1.36373

1.0

1.162704

−0.039363

0.405902

1.32835

1.162704

−0.039360

0.405900

1.32837

1.2

0.827015

−0.055462

0.551115

0.94681

0.827015

−0.055462

0.551114

0.94681

1.4

0.527016

−0.076787

0.735821

0.53102

0.527016

−0.076787

0.735820

0.53102