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Theory and Modern Applications

Table 4 Computing time and speedup of scheme solution (\(\alpha =0.7\))

From: A new parallel difference algorithm based on improved alternating segment Crank–Nicolson scheme for time fractional reaction–diffusion equation

M

Implicit scheme/s

C–N scheme/s

IASC–N scheme/s

\(S_{p1}\)

\(S_{p2}\)

3001

2.3513

2.5916

1.9731

1.1916

1.3135

4001

5.1555

5.3499

3.6795

1.4011

1.4540

5001

8.9145

9.1686

5.7039

1.5629

1.6074

6001

19.7645

20.4187

8.5569

2.3098

2.3862

7001

48.9845

49.8756

11.5971

4.2238

4.3007