Table 2 Values of −θ′(0) for various values of S, λ, and Pr (the error = exact solutions − present results)
S | λ | Pr | Grubka and Bobba | Ali | Exact solutions Ishak at el. | Ishak at el. | Present results | The error |
|---|---|---|---|---|---|---|---|---|
0 | 0 | 0.01 | 0.0197 | 0.01970635421 | 0.0197 | 0.01967 | 3.63542×10−5 | |
0.72 | 0.8086 | 0.8058 | 0.8086313498 | 0.8086 | 0.80863 | 1.3498 ×10−5 | ||
1.0 | 1.0000 | 0.9961 | 1.000000000 | 1.0000 | 1.00001 | 1×10−5 | ||
3.0 | 1.9237 | 1.9144 | 1.923682594 | 1.9237 | 1.92368 | 2.594×10−6 | ||
7.0 | 3.072250207 | 3.0723 | 3.07224 | 1.0207×10−5 | ||||
10 | 3.7207 | 3.7006 | 3.720673901 | 3.7207 | 3.72066 | 1.3901×10−5 | ||
100 | 12.2940 | 12.29408326 | 12.2941 | 12.29408 | 3.26 ×10−6 | |||
1 | 1 | 1.0873 | 1.08728 | |||||
2 | 1.1423 | 1.14225 | ||||||
3 | 1.1853 | 1.18526 | ||||||
1 | 0 | 1.6820 | 1.68199 | |||||
1 | 1.7039 | 1.70391 | ||||||
− 0.5 | 10 | 5.5585 | 5.55852 | |||||
0.5 | 5.5690 | 5.56901 |