Table 3 Computations for \(f({\eta })\) ,\(g({\eta })\), \(h({\eta })\), \(k({\eta })\), \(\theta ({\eta })\), \(\Psi ({\eta })\) with \(\xi _{rad} = 0.1\), \(\xi _{sq} = 0.1\), \(\xi _{z} = 0.2\), \(\xi _{\theta } = 0.5\), \(\xi _{mag} = 0.3\), \(\xi _{pr} = 0.2\), \(\xi _{hm} = 1\), \(\xi _{pm} = 0.2\), \(\xi _{sm} = 1\), \(\xi _{ec} = 0.1\), \(\xi _{vis} = 0.3\), \(S = 0.5\) and various values of \(\eta\).
\(\eta\) | HAM result | BVP4c result | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
\(f({\eta} )\) | \(g({\eta} )\) | \(h({\eta} )\) | \(\theta ({\eta} )\) | \(\Psi ({\eta} )\) | \(f({\eta} )\) | \(g({\eta} )\) | \(h({\eta} )\) | \(\theta ({\eta} )\) | \(\Psi ({\eta} )\) | |
0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 |
0.1001 | 0.0261 | 0.9267 | 0.0899 | 0.8987 | 0.8974 | 0.0261 | 0.9264 | 0.0899 | 0.8989 | 0.8977 |
0.2002 | 0.0668 | 0.8497 | 0.1911 | 0.7987 | 0.7978 | 0.0669 | 0.8499 | 0.1912 | 0.7989 | 0.7978 |
0.3003 | 0.1258 | 0.7703 | 0.2716 | 0.6989 | 0.6954 | 0.1259 | 0.7704 | 0.2717 | 0.6989 | 0.6955 |
0.4004 | 0.1839 | 0.7100 | 0.3654 | 0.5986 | 0.5944 | 0.1839 | 0.7101 | 0.3655 | 0.5987 | 0.5945 |
0.5005 | 0.2582 | 0.6579 | 0.4619 | 0.4983 | 0.4938 | 0.2582 | 0.6579 | 0.4619 | 0.4983 | 0.4938 |
0.6006 | 0.3324 | 0.6245 | 0.5723 | 0.3994 | 0.3946 | 0.3325 | 0.6246 | 0.5724 | 0.3995 | 0.3947 |
0.7007 | 0.3985 | 0.5875 | 0.6765 | 0.2993 | 0.2951 | 0.3986 | 0.5876 | 0.6766 | 0.2994 | 0.2952 |
0.8008 | 0.4622 | 0.5568 | 0.7845 | 0.1994 | 0.1959 | 0.4623 | 0.5569 | 0.7846 | 0.1995 | 0.1959 |
0.9009 | 0.4981 | 0.5315 | 0.8965 | 0.0997 | 0.0976 | 0.4982 | 0.5316 | 0.8966 | 0.0998 | 0.0977 |
1 | 0.5 | 0.5 | 1 | 0 | 0 | 0.5 | 0.5 | 1 | 0 | 0 |
