Theory and Modern Applications
From: A reliable technique for fractional modified Boussinesq and approximate long wave equations
(x,t) | \(\vert {v}_{\mathrm{Exact}} - {v}_{\mathrm{ADM}} \vert \) | \(\vert {v}_{\mathrm{Exact}} - {v}_{\mathrm{VIM}} \vert \) | \(\vert {v}_{\mathrm{Exact}} - {v}_{\mathrm{CRFDTM}} \vert \) | \(\vert {v}_{\mathrm{Exact}} - {v}_{{q}\text{-}\mathrm{HATM}}^{ ( {3} )} \vert \) |
---|---|---|---|---|
(0.1,0.1) | 5.88676 × 10−5 | 1.65942 × 10−5 | 3.46945 × 10−18 | 3.46945 × 10−18 |
(0.1,0.3) | 5.56914 × 10−5 | 4.98691 × 10−5 | 5.55112 × 10−17 | 5.55112 × 10−17 |
(0.1,0.5) | 5.27169 × 10−5 | 8.32598 × 10−5 | 5.55112 × 10−16 | 5.55112 × 10−16 |
(0.2,0.1) | 1.18213 × 10−4 | 1.06813 × 10−5 | 6.93889 × 10−18 | 6.93889 × 10−18 |
(0.2,0.3) | 1.11833 × 10−4 | 4.83269 × 10−5 | 5.55112 × 10−17 | 5.55112 × 10−17 |
(0.2,0.5) | 1.05858 × 10−4 | 8.06837 × 10−5 | 5.55112 × 10−16 | 5.55112 × 10−16 |
(0.3,0.1) | 1.78041 × 10−4 | 1.55880 × 10−5 | 6.93889 × 10−18 | 6.93889 × 10−18 |
(0.3,0.3) | 1.68429 × 10−4 | 4.68440 × 10−5 | 5.55112 × 10−17 | 5.55112 × 10−17 |
(0.3,0.5) | 1.59428 × 10−4 | 7.82068 × 10−5 | 5.55112 × 10−16 | 5.55112 × 10−16 |
(0.4,0.1) | 2.38356 × 10−4 | 1.51135 × 10−5 | 5.20417 × 10−18 | 5.20417 × 10−18 |
(0.4,0.3) | 2.25483 × 10−4 | 4.54174 × 10−5 | 5.55112 × 10−17 | 5.55112 × 10−17 |
(0.4,0.5) | 2.13430 × 10−4 | 7.58243 × 10−5 | 5.55112 × 10−16 | 5.55112 × 10−16 |
(0.5,0.1) | 2.99162 × 10−4 | 1.46569 × 10−5 | 1.73472 × 10−18 | 1.73472 × 10−18 |
(0.5,0.3) | 2.83001 × 10−4 | 4.40448 × 10−5 | 5.55112 × 10−17 | 5.55112 × 10−17 |
(0.5,0.5) | 2.67868 × 10−4 | 7.35317 × 10−5 | 5.55112 × 10−16 | 5.55112 × 10−16 |