Table 7 Variation of \(\pmb{\beta^{2}=\Upsilon}\) , \(\pmb{f''(0)}\) , \(\pmb{\theta(1)}\) and \(\pmb{-\theta'(0)}\) using 20th-order HAM via Mathematica package BVPh2.0 approximation when \(\pmb{\mathit {Ma}=1}\) , \(\pmb{M=1}\) , \(\pmb{\mathit {Pr}=0.2}\) , \(\pmb{S=0.2}\) and Gr is varied
Gr | \(\boldsymbol{\beta^{2}}\) | \(\boldsymbol {f''(0)}\) | θ (1) | \(\boldsymbol{-\theta'(0)}\) |
|---|---|---|---|---|
K = 0.1 | ||||
1 | 0.727013 | −3.15798 | 0.977426 | 0.0721373 |
3 | 0.527013 | −3.11168 | 0.983657 | 0.0524064 |
5 | 0.327013 | −3.06291 | 0.989878 | 0.0325884 |
10 | 0.127013 | −3.01328 | 0.996077 | 0.0126844 |
20 | 0.027013 | −2.98834 | 0.999166 | 0.0027005 |
K = 0.3 | ||||
1 | 0.727013 | −2.83675 | 0.978347 | 0.0721684 |
3 | 0.527013 | −2.79914 | 0.984328 | 0.0524222 |
5 | 0.327013 | −2.75968 | 0.990294 | 0.0325937 |
10 | 0.127013 | −2.71954 | 0.996239 | 0.0126833 |
20 | 0.027013 | −2.69937 | 0.999201 | 0.0026989 |