Theory and Modern Applications
Table 3 The numerical results at \(\pmb{t=1}\) in space with \(\pmb{p=1.52}\) and \(\pmb{N=5\mbox{,}000}\) for Example 6.2
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 | 2.3131e-4 | - | 3.2118e-4 | - |
20 | 5.7206e-5 | 2.0156 | 7.9627e-5 | 2.0121 |
40 | 1.3598e-5 | 2.0727 | 1.8958e-5 | 2.0704 |
80 | 2.6917e-6 | 2.3368 | 3.7520e-6 | 2.3371 |