Theory and Modern Applications
Table 4 COT of ASC-N, ASE-I, and ASI-E schemes when \(\pmb{m = 1{,}001}\)
Time grid ( n ) | ASC-N [ 16 ] | ASE-I | ASI-E | |||
|---|---|---|---|---|---|---|
\(\boldsymbol {L^{2}}\) -error | COT | \(\boldsymbol {L^{2}}\) -error | COT | \(\boldsymbol {L^{2}}\) -error | COT | |
100 | 1.3959 × 10−7 | – | 1.4273 × 10−7 | – | 1.4249 × 10−7 | – |
400 | 1.0276 × 10−8 | 1.8818 | 1.0318 × 10−8 | 1.8949 | 1.0315 × 10−8 | 1.8940 |
700 | 3.3784 × 10−9 | 1.9123 | 3.3862 × 10−9 | 1.9226 | 3.3856 × 10−9 | 1.9218 |
1,000 | 1.6579 × 10−9 | 1.9252 | 1.6606 × 10−9 | 1.9342 | 1.6604 × 10−9 | 1.9335 |