Theory and Modern Applications
Table 5 Comparison of numerical results for u obtained from the proposed method and the CSCM for Example 3
From: Numerical solution of advection–diffusion type equation by modified error correction scheme
ν | CSCM | Proposed | ||||||
|---|---|---|---|---|---|---|---|---|
h | M = N | \(\mathit {err}_{R2}(0.01)\) | CPU | h | \(M_{x} =M_{y}\) | \(\mathit {err}_{R2}(0.01)\) | CPU | |
1.0 | 0.0050 | 11 | 2.24 × 10−6 | 0.0956 | 0.0050 | 20 | 3.13 × 10−15 | 0.0063 |
0.1 | 0.0025 | 11 | 1.87 × 10−7 | 0.1036 | 0.0025 | 20 | 1.29 × 10−10 | 0.0072 |
0.01 | 0.0020 | 21 | 7.20 × 10−7 | 0.1026 | 0.0020 | 60 | 7.31 × 10−8 | 0.0205 |
0.005 | 0.0010 | 31 | 4.73 × 10−6 | 0.1106 | 0.0010 | 120 | 1.14 × 10−7 | 0.0924 |