Theory and Modern Applications
Table 2 The \(L^{2}\) and \(H^{\alpha /2}\) numerical errors at \(\alpha =1.5\) for various temporal resolutions v
From: An efficient numerical approach to solve the space fractional FitzHugh–Nagumo model
△t | \(L^{2}\)-error | \(H^{\alpha /2}\)-error | Order |
|---|---|---|---|
0.1 | 1.27887E−05 | 2.51306E−05 | – |
0.05 | 3.41154E−06 | 6.67129E−06 | 1.90636 |
0.01 | 1.43796E−07 | 2.80067E−07 | 1.96747 |
0.005 | 3.62094E−08 | 7.04652E−08 | 1.98958 |
0.001 | 1.46667E−09 | 2.84137E−09 | 1.99219 |
0.0005 | 3.90331E−10 | 7.32173E−10 | 1.90986 |