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Table 2 Show the optimal auxiliary parameter values at various approximation values when \(M = Pp = 1 = 2 = \beta = 1,Fs = \delta = \delta_{1} = \delta_{2} = 0.5\)

From: Chemical entropy generation and second-order slip condition on hydrodynamic Casson nanofluid flow embedded in a porous medium: a fast convergent method

Order-of approximation

\(\hbar_{f}\)

\(\hbar_{\theta }\)

\(\hbar_{\phi }\)

\({\Delta }_{m}^{t}\)

2

− 0.86345

− 2.52072

− 1.51245

7.7 × 10−3

3

− 0.88412

− 1.92653

− 1.90756

2.3 × 10−3

4

− 0.89635

− 1.99556

− 1.61023

8.5 × 10−3

5

− 0.92745

− 1.85853

− 1.96075

5.3 × 10−3