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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Error and convergence order in time and space when \(\epsilon =0,\alpha =\beta =\gamma =1\)

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

τ = h

∥e∥

Order

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

Order

1/10

1.588457e − 03

–

2.350020e − 03

–

1/20

4.183324e − 04

1.924904

6.274669e − 04

1.905061

1/40

1.030145e − 04

2.021802

1.585501e − 04

1.984600

1/80

2.440490e − 05

2.077604

3.894461e − 05

2.025443

1/160

5.878778e − 06

2.053582

9.517392e − 06

2.032785

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