Skip to main content

Table 3 Numerical errors and convergence orders in spatial direction with \(\tau =\frac{1}{100}\) and \(\alpha =0.3\) at \(T=1\) for Example 1

From: Efficient finite element numerical solution of the variable coefficient fractional subdiffusion equation

h \(\|u^{n}-u_{h}^{n}\|\) Rate \(\|u^{n}-u_{h}^{n}\|_{1}\) Rate \(\|I_{h}u^{n}-u_{h}^{n}\|_{1}\) Rate \(\|u^{n}-\varPi _{2h}u_{h}^{n}\|_{1}\) Rate
π/4 2.6920e-1 1.97 6.4002e-1 0.98 7.4278e-2 2.19 6.0812e-2 2.01
π/8 6.8944e-2 1.99 3.2373e-1 1.00 1.6283e-2 2.06 1.5082e-2 1.98
π/16 1.7324e-2 2.00 1.6238e-1 1.00 3.9158e-3 2.03 3.8272e-3 2.00
π/32 4.3295e-3 2.01 8.1255e-2 1.00 9.6026e-4 2.06 9.5437e-4 2.06
π/64 1.0753e-3 4.0636e-2 2.2993e-4 2.2955e-4