Table 2 Comparison of θ ' (0) between the present results using Chebyshev pseudospectral (CPS) method and Lin and Chen [27] and Seddeek and Salem [29] for selected values of M and n with Da →  ∞ , β →  ∞ , γ = φ = q = 0, Pr  = 0.2
M | n | Lin and Chen [27] Shooting method | Seddeek and Salem [29] Shooting method | Present results CPS method | The error | |
|---|---|---|---|---|---|---|
0 | −2 | 0.29169 | 0.29162 | 0.29163057 | 5.94 × 10−5 | 1.05 × 10−5 |
0 | − 0.22560 | − 0.22563 | − 0.22562195 | 2.19 × 10−5 | 8.05 × 10−6 | |
1 | − 0.40924 | − 0.40427 | − 0.40426205 | 4.97 × 10−3 | 7.95 × 10−6 | |
2 | − 0.56438 | − 0.55991 | − 0.55993069 | 4.44 × 10−3 | 2.06 × 10−5 | |
0.2 | −2 | 0.25286 | 0.25269 | 0.25270098 | 1.59 × 10−4 | 1.09 × 10−5 |
0 | − 0.20411 | − 0.20329 | − 0.20330961 | 8.00 × 10−4 | 1.96 × 10−5 | |
1 | − 0.37510 | − 0.37540 | − 0.37539365 | 2.93 × 10−4 | 6.35 × 10−6 | |
2 | − 0.52245 | − 0.52205 | − 0.52207245 | 3.77 × 10−4 | 2.24 × 10−5 | |