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Theory and Modern Applications

Table 3 Performance comparison between serial solution (SS) and parallel solution (PS) when 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

Runtime (s)

SS

5.20E − 04

3.31E − 03

1.22E − 02

7.35E − 02

4.93E − 01

4.03E + 00

PS

6.51E − 04

1.42E − 03

3.75E − 03

1.15E − 02

4.56E − 02

2.77E − 01

Speedup

0.80

2.34

3.26

6.37

10.80

14.55

  1. In PS, the number of processes is set to 16.