Table 2 Shows analysis of Perturb solution with numerical solution for stream function with \(\alpha = 0.2, \varepsilon = 0.15, \delta =0.01, F= 0.1, x= 1\).
y | Perturb solution | Numerical solution | Difference |
---|---|---|---|
0. | 0. | 0. | 0. |
0.1 | 0.0560456 | 0.0560623 | \(-\,1.67013\times 10^{\text {-5}}\) |
0.2 | 0.109734 | 0.109766 | \(-\,3.20222\times 10^{\text {-5}}\) |
0.3 | 0.158706 | 0.15875 | \(-\,4.45712\times 10^{\text {-5}}\) |
0.4 | 0.200601 | 0.200655 | \(-\,5.31095\times 10^{\text {-5}}\) |
0.5 | 0.233058 | 0.233115 | \(-\,5.67039\times 10^{\text {-5}}\) |
0.6 | 0.25371 | 0.253765 | \(-\,5.49514\times 10^{\text {-5}}\) |
0.7 | 0.260185 | 0.260233 | \(-\,4.81658\times 10^{\text {-5}}\) |
0.8 | 0.250107 | 0.250144 | \(-\,3.74213\times 10^{\text {-5}}\) |
0.9 | 0.221092 | 0.221116 | \(-\,2.44263\times 10^{\text {-5}}\) |
1. | 0.17075 | 0.170762 | \(-\,1.14196\times 10^{\text {-5}}\) |
1.1 | 0.0966832 | 0.0966849 | \(-\,1.73212\times 10^{\text {-6}}\) |