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Theory and Modern Applications

Table 1 Comparison of scheme solutions and analytical solutions (\(\alpha =0.7\))

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

x

0.2

0.4

0.6

0.8

Analytical solution

0.152169

0.094046

−0.094046

−0.152169

Implicit scheme solution

0.152168

0.094023

−0.094023

−0.152168

C–N scheme solution

0.152184

0.094011

−0.094011

−0.152184

IASC–N scheme solution

0.151216

0.087818

−0.087822

−0.151209