Theory and Modern Applications
Table 5 \(E_{7}\) in the solution of TFCRDEs by HATM for \(\lambda=1\)
(x,t) | Exact solution | Approximation solution | \(|u_{\mathrm{exact}}-u_{\mathrm{MHATM}} | \) |
|---|---|---|---|
(0.1,0.1) | 1.1162780704 | 1.1162780704 | 4.62963 × 10−12 |
(0.1,0.2) | 1.2336780599 | 1.2336780599 | 7.89258 × 10−12 |
(0.1,0.3) | 1.3634251141 | 1.3634251141 | 6.866828 × 10−12 |
(0.2,0.1) | 1.1502737988 | 1.1502737988 | 2.49134 × 10−13 |
(0.2,0.2) | 1.2712491580 | 1.2712491580 | 3.77920 × 10−13 |
(0.2,0.3) | 1.4049475905 | 1.4049475905 | 4.90874 × 10−12 |
(0.3,0.1) | 1.0122694460 | 1.0122694460 | 7.84484 × 10−13 |
(0.3,0.2) | 1.3364274882 | 1.3364274882 | 6.75904 × 10−13 |
(0.3,0.3) | 1.4769807938 | 1.4769807938 | 3.81584 × 10−12 |