Theory and Modern Applications
From: On single-step HSS iterative method with circulant preconditioner for fractional diffusion equations
N + 1 | M | Pre. | \(\mathrm{IT} _{\mathrm{SHSS}}\) | \(\mathrm{IT} _{\mathrm{PCG}}\) | CPU (s) | ERR |
---|---|---|---|---|---|---|
28 | 6252 | Non | 4.0 | 9.5 | 10.4430 | 8.7E − 07 |
T. Chan | 4.0 | 5.3 | 6.3253 | 8.7E − 07 | ||
Strang | 4.0 | 5.1 | 6.0853 | 8.7E − 07 | ||
29 | 21,694 | Non | 4.0 | 8.6 | 44.4843 | 3.1E − 06 |
T. Chan | 4.0 | 4.6 | 26.9088 | 3.1E − 06 | ||
Strang | 4.0 | 4.6 | 26.8528 | 3.1E − 05 | ||
210 | 75,413 | Non | 4.0 | 7.6 | 230.6453 | 1.1E − 05 |
T. Chan | 4.0 | 4.0 | 140.1736 | 1.1E − 05 | ||
Strang | 4.0 | 4.0 | 141.2357 | 1.1E − 05 | ||
211 | 262,374 | Non | 4.0 | 6.4 | 1324.4353 | 3.7E − 05 |
T. Chan | 4.0 | 3.8 | 888.2863 | 3.7E − 05 | ||
Strang | 4.0 | 3.8 | 899.8794 | 3.7E − 05 |