Table 3 Comparison of exact and approximate solutions.
\({\mathfrak {s}}\) | Exact solution | \({\mathcal {M}}=4\) | \({\mathcal {M}}=6\) | \({\mathcal {M}}=8\) |
---|---|---|---|---|
0.0 | 0.00000000 | 0.00000000 | 0.00000000 | 0.00000000 |
0.2 | 0.00800000 | 0.00778214 | 0.00776126 | 0.00780872 |
0.4 | 0.06400000 | 0.06188742 | 0.06292156 | 0.06395688 |
0.6 | 0.21600000 | 0.21277391 | 0.21388234 | 0.21494762 |
0.8 | 0.51200000 | 0.51044983 | 0.51067295 | 0.51112473 |
1.0 | 1.00000000 | 0.94832658 | 0.96912764 | 0.98957632 |