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Theory and Modern Applications

Table 2 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 \(\pmb{\tau= 1/4\mbox{,}096}\)

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

α

h

Ï€ /4

Ï€ /8

Ï€ /16

1.35

9.485E-04

1.181E-04

1.550E-05

-

3.0056

2.9301

1.55

9.443E-04

1.180E-04

1.511E-05

-

3.0010

2.9650

1.75

9.450E-04

1.178E-04

1.485E-05

-

3.0041

2.9875