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Theory and Modern Applications

Table 2 Scheme errors and time convergence orders (\(\alpha =0.5\), \(h=\frac{1}{80}\))

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

N

Implicit scheme

C–N scheme

IASC–N scheme

\(E_{2}(h,\tau )\)

Order1

\(E_{2}(h,\tau )\)

Order1

\(E_{2}(h,\tau )\)

Order1

5600

6.0126e−05

6.2566e−05

1.1149e−04

5800

5.7052e−05

1.4952

5.9409e−05

1.4756

1.0583e−04

1.4843

6000

5.4184e−05

1.5217

5.6462e−05

1.5008

1.0059e−04

1.4981

6200

5.1500e−05

1.5492

5.3705e−05

1.5269

9.5721e−05

1.5124

6400

4.8984e−05

1.5778

5.1120e−05

1.5538

9.1191e−05

1.5271