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Table 1 The global maximum \(\pmb{H_{0}^{1}}\) -errors \(\pmb{\max_{0\leq n\leq N} \|u^{n}-u_{h}^{n}\|_{H_{0}^{1}}}\) for equation ( 42 ) with \(\pmb{h = \pi/256}\)

From: An alternating direction Galerkin method for a time-fractional partial differential equation with damping in two space dimensions

α N
8 16 32 64 128
1.35 5.071E-02 1.391E-02 3.650E-03 9.374E-04 2.381E-04
- 1.8661 1.9303 1.9612 1.9771
1.55 3.522E-02 9.681E-03 2.550E-03 6.578E-04 1.677E-04
- 1.8631 1.9245 1.9549 1.9715
1.75 1.992E-02 5.513E-03 1.466E-03 3.825E-04 9.864E-05
- 1.8535 1.9105 1.9388 1.9551