Theory and Modern Applications
Table 1 The \(L^{2}\) and \(H^{\alpha /2}\) numerical errors at \(\alpha =1.5\) for various temporal resolutions u
From: An efficient numerical approach to solve the space fractional FitzHugh–Nagumo model
△t | \(L^{2}\)-error | \(H^{\alpha /2}\)-error | Order |
|---|---|---|---|
0.1 | 0.002853104 | 0.005747130 | – |
0.05 | 0.000741835 | 0.001483160 | 1.98009 |
0.01 | 3.06393E−05 | 6.08969E−05 | 1.99413 |
0.005 | 7.53784E−08 | 1.52751E−05 | 2.0059 |
0.001 | 2.96203E−09 | 6.04827E−07 | 2.01242 |
0.0005 | 6.98812E−10 | 1.51197E−07 | 2.00017 |