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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 The convergence order in spatial direction with \(\alpha=1.75, 1.95, \tau=1/256\) at time \(t=1\)

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

h

E(h) (α = 1.75)

order

E(h) (α = 1.95)

order

1

0.071175803333281

−

0.083949535804123

 

1/2

0.018280687400889

1.9611

0.020521577513857

2.0324

1/4

0.004463589467647

2.0340

0.004906614930621

2.0643

1/8

0.001108210787441

2.0100

0.001213495898485

2.0156

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