Theory and Modern Applications
Table 4 The results obtained for \(\mathfrak{J}\) with \(\alpha =0.8, 0.9\), and 1 via several numerical schemes for Example 1
Method | \(\mathfrak{J}\) | ||
|---|---|---|---|
α = 0.8 | α = 0.9 | α = 1 | |
Legendre wavelets [20] | 0.16707 | 0.17952 | 0.19290 |
Homotopy perturbation method [46] | 0.16729 | 0.17952 | 0.19290 |
Laguerre polynomials [47] | 0.16982 | 0.18155 | 0.19291 |
Hermite polynomials [23] | 0.17999 | 0.18624 | 0.19290 |
Variational iteration method [14] | 0.16711 | 0.17953 | 0.19290 |
Predictor-corrector method [15] | 0.16711 | 0.17954 | 0.19290 |
Exact solution [43] | Not reported | Not reported | 0.19290 |
The proposed method | 0.16777 | 0.17994 | 0.19290 |