Theory and Modern Applications
Table 5 Comparison of absolute errors for Problem 3 when \(n=40\)
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 | – | – | 8.7834 × 10−8 | 7.1567 × 10−8 |
0.50 | 2.1423 × 10−4 | 2.3952 × 10−5 | 3.5666 × 10−8 | 1.5945 × 10−8 |
0.75 | – | – | 5.5943 × 10−8 | 3.4214 × 10−8 |
1.00 | 2.6524 × 10−5 | 2.9654 × 10−6 | 1.4199 × 10−8 | 7.1879 × 10−9 |