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Theory and Modern Applications

Table 3 The \(L^{2}\) and \(H^{\alpha /2}\) numerical errors at \(\alpha =1.7\) 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

0.00285274

0.006814937

0.05

0.000741741

0.001731916

1.94336

0.01

3.06355E−05

7.10406E−05

1.98009

0.005

7.69009E−06

1.78184E−05

1.99413

0.001

3.01524E−07

7.06222E−07

2.01241

0.0005

7.53763E−08

1.76539E−07

2.00008