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Theory and Modern Applications

Table 2 The numerical results of the HSP, HEG and HMEG methods at \(\alpha =0.1\) for Example 5.1

From: Efficient hybrid group iterative methods in the solution of two-dimensional time fractional cable equation

\(h^{-1}\)

Method

CPU time (sec)

Ite

\(\mathit{Error}_{\infty}\)

Total operations

6

HSP

0.140

33

1.5652E−03

17,325

HEG

0.078

22

1.5795E−03

10,846

HMEG

0.015

2

3.9024E−03

609

14

HSP

3.500

150

8.2547E−04

532,350

HEG

1.593

84

8.9366E−04

273,924

HMEG

0.187

24

1.4212E−03

20,937

22

HSP

21.171

330

5.4014E−04

3,056,130

HEG

12.359

182

6.9130E−04

1,539,902

HMEG

0.828

54

1.0299E−03

120,561

30

HSP

67.234

562

3.1519E−04

9,925,482

HEG

38.468

311

5.2364E−04

5,004,923

HMEG

3.093

93

8.7262E−04

396,333