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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 The convergence order in temporal direction with \(\alpha=1.75, 1.95, h=1/128 \) at time \(t=1\)

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

Ï„

E(τ) (α = 1.75)

order

E(τ) (α = 1.95)

order

1/4

0.076360499008544

–

0.077602598777544

–

1/8

0.020013445313199

1.9319

0.020188901056871

1.9425

1/16

0.005060174214254

1.9837

0.005092254511141

1.9872

1/32

0.001268571271052

1.9960

0.001275824597592

1.9969

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