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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 Error and convergence order in space when \(\tau =1/1000, \epsilon =\alpha =\beta =\gamma =1\)

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

h

∥e∥

Order

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

Order

1/10

1.841489e − 03

–

2.653046e − 03

–

1/20

5.047981e − 04

1.867094

7.279309e − 04

1.865776

1/40

1.321991e − 04

1.932994

1.905037e − 04

1.933982

1/80

3.365747e − 05

1.973713

4.854140e − 05

1.972531

1/160

8.309556e − 06

2.018083

1.199653e − 05

2.016598

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