Theory and Modern Applications
Table 1 The numerical results at \(\pmb{t=1}\) with \(\pmb{\alpha=0.9}\) , \(\pmb{p=5.16}\) , and \(\pmb{N=5\mbox{,}000}\) for Example 6.1
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 | 8.6951e-4 | - | 1.3969e-3 | - |
20 | 2.2384e-4 | 1.9578 | 3.6042e-4 | 1.9545 |
40 | 5.7089e-5 | 1.9712 | 9.2262e-5 | 1.9659 |
80 | 1.5162e-5 | 1.9127 | 2.4710e-5 | 1.9007 |