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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 5 The convergence order in temporal direction with \(\alpha=1.5, 1.95, h=1/300\) at time \(t=1\)

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

Ï„

E(τ) (α = 1.5)

order

E(τ) (α = 1.95)

order

1/20

8.0262e–004

–

6.1903e–004

–

1/40

2.0469e–004

1.9713

1.6227e–004

1.9317

1/80

5.1690e–005

1.9855

4.1427e–005

1.9697

1/160

1.2989e–005

1.9926

1.0459e–005

1.9858

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