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Table 3 Comparison of the \(\pmb{L^{\infty}}\) errors \(\pmb{\max_{0\leq n\leq N}\| u_{h}^{n}-u^{n}\|_{\infty}}\) with \(\pmb{h=\pi/200}\)

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

α 1/ τ Error [ 24 ] Cvge Error ( 14 ) Cvge
1.3 10 1.897E-02 - 2.029E-02 -
20 5.674E-03 1.7413 5.487E-03 1.8868
40 1.702E-03 1.7372 1.427E-03 1.9434
80 5.133E-04 1.7293 3.626E-04 1.9763
160 1.566E-04 1.7131 8.981E-05 2.0133
1.5 10 3.911E-02 - 1.659E-02 -
20 1.356E-02 1.5286 4.509E-03 1.8792
40 4.720E-03 1.5221 1.179E-03 1.9358
80 1.650E-03 1.5164 3.010E-04 1.9692
160 5.792E-04 1.5102 7.496E-05 2.0055
1.7 10 7.908E-02 - 1.202E-02 -
20 3.162E-02 1.3225 3.283E-03 1.8718
40 1.274E-02 1.3120 8.648E-04 1.9245
80 5.148E-03 1.3068 2.229E-04 1.9561
160 2.085E-03 1.3037 5.604E-05 1.9918