Theory and Modern Applications
Table 3 Comparison of numerical errors obtained from the proposed method and the CSCM for Example 2
From: Numerical solution of advection–diffusion type equation by modified error correction scheme
ν | CSCM | Proposed | ||||||
|---|---|---|---|---|---|---|---|---|
h | M = N | \(\mathit {err}_{R2}(0.05)\) | CPU | h | \(M_{x}=M_{y}\) | \(\mathit {err}_{R2}(0.05)\) | CPU | |
1.0 | 0.005 | 6 | 3.79 × 10−9 | 0.0361 | 0.005 | 10 | 1.18 × 10−9 | 0.0061 |
0.0005 | 11 | 3.02 × 10−10 | 0.0370 | 0.0005 | 20 | 8.48 × 10−11 | 0.0189 | |
0.1 | 0.005 | 6 | 2.15 × 10−4 | 0.0317 | 0.005 | 20 | 6.20 × 10−6 | 0.0074 |
0.001 | 11 | 1.08 × 10−6 | 0.0343 | 0.001 | 40 | 1.94 × 10−7 | 0.0320 | |