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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