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Theory and Modern Applications

Table 4 The convergence order in spatial direction with \(\alpha=1.5, 1.95, \tau=1/400 \) at time \(t=1\)

From: A conservative difference scheme for the Riesz space-fractional sine-Gordon equation

h

E(h) (α = 1.5)

order

E(h) (α = 1.95)

order

1

0.175728570098761

–

0.130474954167071

–

1/2

0.030927558960760

2.0768

0.033480284841195

2.3920

1/4

0.007465839195053

2.0505

0.007679396860666

2.1242

1/8

0.002086595144613

1.8392

0.001888044160022

2.0241