Theory and Modern Applications
Table 4 The \(L^{2}\) and \(H^{\alpha /2}\) numerical errors at \(\alpha =1.7\) 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 | 1.2788E−05 | 2.92707E−05 | – |
0.05 | 3.41136E−06 | 7.76832E−06 | 1.90635 |
0.01 | 1.43788E−07 | 3.25984E−07 | 1.96741 |
0.005 | 3.62076E−08 | 8.20116E−08 | 1.98958 |
0.001 | 1.46662E−09 | 3.30567E−09 | 1.99224 |
0.0005 | 3.90343E−10 | 8.49135E−10 | 1.90973 |