Theory and Modern Applications
Table 2 The numerical results at \(\pmb{t=1}\) in time with \(\pmb{p=1.52}\) and \(\pmb{M=300}\) for Example 6.2
From: An exponential B-spline collocation method for the fractional sub-diffusion equation
N | \(\boldsymbol{\|u-u_{N}\|_{L^{2}}}\) | Cov. rate | \(\boldsymbol{\|u-u_{N}\|_{L^{\infty}}}\) | Cov. rate |
|---|---|---|---|---|
10 | 6.8812e-4 | - | 9.6064e-4 | - |
20 | 3.2075e-4 | 1.1012 | 4.4793e-4 | 1.1007 |
40 | 1.5101e-4 | 1.0868 | 2.1097e-4 | 1.0862 |
80 | 7.1577e-5 | 1.0771 | 1.0003e-4 | 1.0765 |