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Theory and Modern Applications

Table 2 Result comparison between the exact analytic solution and the parallel solution at time \(\pmb{t = 1.0}\) and \(\pmb{p=8}\) , where different M and N are applied

From: An efficient parallel algorithm for Caputo fractional reaction-diffusion equation with implicit finite-difference method

M  =  N

65

129

257

513

1,025

2,049

Max error

7.47E − 04

3.07E − 04

1.26E − 04

5.12E − 05

2.08E − 05

8.47E − 06