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Theory and Modern Applications

Table 7 The numerical results at \(\pmb{t=1}\) in space with \(\pmb{p=2}\) , \(\pmb{q=3}\) , and \(\pmb{N=1\mbox{,}000}\) for Example 6.5

From: An exponential B-spline collocation method for the fractional sub-diffusion equation

M

\(\boldsymbol{\|u-u_{N}\|_{L^{2}}}\)

Cov. rate

\(\boldsymbol{\|u-u_{N}\|_{L^{\infty}}}\)

Cov. rate

10

1.5963e-3

-

2.2245e-3

-

20

3.9985e-4

1.9972

5.5719e-4

1.9973

40

1.0001e-4

1.9993

1.3940e-4

1.9990

80

2.5006e-5

1.9998

3.4874e-5

1.9990