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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Scheme errors and spatial convergence orders (\(\alpha =0.5\), \(\tau =h^{2}\))

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

M

Implicit scheme

C–N scheme

IASC–N scheme

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

Order2

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

Order2

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

Order2

101

3.2314e−04

–

3.3097e−04

–

6.2148e−04

–

201

8.0660e−05

2.0167

8.2618e−05

2.0166

1.5433e−04

2.0242

301

3.5826e−05

2.0098

3.6697e−05

2.0097

6.8421e−05

2.0144

401

2.0146e−05

2.0070

2.0635e−05

2.0069

3.8438e−05

2.0103

501

1.2891e−05

2.0054

1.3204e−05

2.0054

2.4571e−05

2.0097

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