Theory and Modern Applications
Table 6 Comparison of errors and CPUs of v via the proposed method and the original ECM for Example 3
From: Numerical solution of advection–diffusion type equation by modified error correction scheme
t | ν | Original ECM | Proposed | ||
|---|---|---|---|---|---|
\(\mathit {err}_{R2}(t)\) | CPU | \(\mathit {err}_{R2}(t)\) | CPU | ||
1.0 | 10−1 | 2.21 × 10−6 | 37.0937 | 2.21 × 10−6 | 33.9425 |
10−3 | 4.99 × 10−4 | 37.1391 | 4.70 × 10−4 | 34.2735 | |
2.0 | 10−1 | 2.03 × 10−6 | 74.9226 | 2.03 × 10−6 | 66.7614 |
10−3 | 4.52 × 10−4 | 74.1522 | 4.30 × 10−4 | 66.5531 | |
3.0 | 10−1 | 1.76 × 10−6 | 111.3824 | 1.76 × 10−6 | 100.0451 |
10−3 | 3.08 × 10−4 | 110.8592 | 3.00 × 10−4 | 99.9561 | |