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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Error and convergence order in time when \(h=1/1000,\epsilon =\alpha =\beta =\gamma =1\)

From: A Crank–Nicolson linear difference scheme for a BBM equation with a time fractional nonlocal viscous term

τ

∥e∥

Order

\(\Vert e\Vert _{\infty }\)

Order

1/10

4.953935e − 04

–

9.350106e − 04

–

1/20

1.595958e − 04

1.634152

3.029161e − 04

1.626064

1/40

5.380815e − 05

1.568526

1.026424e − 04

1.561290

1/80

1.847254e − 05

1.542441

3.545068e − 05

1.533742

1/160

6.326795e − 06

1.545836

1.225924e − 05

1.531942

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