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Table 9 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 \(\beta =0.2\), \(I_{0}=0\), \(\lambda =0.2\), \(A=0.3\), \(N=0.2\), \(S=0.4\), \(\mathit{Pr} =1\), \(\mathit{Ma}=1\) and several values of M

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

M

HAM

BVP4C

β

\(f''(0)\)

θ(1)

\(-\theta '(0)\)

β

\(f''(0)\)

θ(1)

\(-\theta '(0)\)

0.0

1.927011

0.00000000

0.380657

1.42266

1.927011

0.00000000

0.380657

1.42265

0.3

1.627012

−0.0142617

0.48024

1.13867

1.627012

−0.0142609

0.48023

1.13868

0.5

1.327013

−0.0302575

0.59549

0.85101

1.327013

−0.0302571

0.595489

0.85102

0.7

1.162704

−0.0477753

0.662731

0.69433

1.162704

−0.0477751

0.662730

0.69433

1.0

0.827015

−0.0845684

0.801455

0.39407

0.827015

−0.0845683

0.801454

0.39408

1.2

0.527016

−0.117232

0.910344

0.17375

0.527016

−0.1172314

0.910343

0.17375