Theory and Modern Applications
Table 1 \(E_{7}\) in the solution of TFCRDEs using HATM for \(\lambda=1\)
(x,t) | Exact solution | Approximation solution | \(|u_{\mathrm{exact}}-u_{\mathrm{MHATM}} | \) |
|---|---|---|---|
(0.1,0.1) | 0.9953211598 | 0.9953211598 | 9.99201 × 10−15 |
(0.1,0.2) | 0.9867104933 | 0.9867104933 | 2.95319 × 10−14 |
(0.1,0.3) | 0.9789192401 | 0.9789192401 | 1.68754 × 10−14 |
(0.2,0.1) | 0.9996982366 | 0.9996982366 | 2.27596 × 10−14 |
(0.2,0.2) | 0.9824769036 | 0.9824769036 | 6.20615 × 10−14 |
(0.2,0.3) | 0.9668943972 | 0.9668943972 | 8.32667 × 10−15 |
(0.3,0.1) | 1.0122694460 | 1.0122694460 | 2.55351 × 10−14 |
(0.3,0.2) | 0.9864374466 | 0.9864374466 | 4.32987 × 10−14 |
(0.3,0.3) | 0.9630636868 | 0.9630636868 | 4.39648 × 10−14 |