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Table 1 Numerical errors and convergence orders in temporal direction with \(h=\frac{\pi }{250}\) at \(T=1\) for Example 1

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

α τ \(\|u^{n}-u_{h}^{n}\|_{1}\) Rate
α = 1/3 1/2 4.4337e-2 1.97
1/4 1.1337e-2 2.00
1/8 2.8432e-3 2.01
1/16 7.0376e-4 2.07
1/32 1.6712e-4
α = 1/2 1/2 8.6340e-2 1.93
1/4 2.2736e-2 1.98
1/8 5.7464e-3 2.00
1/16 1.4383e-3 2.02
1/32 3.5459e-4
α = 2/3 1/2 1.4806e-1 1.87
1/4 4.0643e-2 1.97
1/8 1.0376e-2 1.99
1/16 2.6127e-3 2.00
1/32 6.5345e-4