Theory and Modern Applications
Table 1 Comparison of absolute error for Problem 1 when \(n=100\)
γ | Method in [21] | Proposed method | ||
|---|---|---|---|---|
Δt = 0.000001, t = 0.0001 | Δt = 0.01, t = 1 | |||
\(L_{\infty }\) | \(L_{2}\) | \(L_{\infty }\) | \(L_{2}\) | |
0.25 | 1.2346 × 10−5 | 8.7299 × 10−7 | 6.4023 × 10−8 | 1.6489 × 10−8 |
0.50 | 1.7841 × 10−6 | 1.2616 × 10−7 | 5.6896 × 10−8 | 1.7455 × 10−8 |
0.75 | 5.1222 × 10−7 | 6.6219 × 10−8 | 4.0157 × 10−8 | 1.3770 × 10−9 |
1.00 | 9.2130 × 10−7 | 6.5146 × 10−8 | 9.0571 × 10−9 | 3.3451 × 10−9 |