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Theory and Modern Applications

Table 5 The numerical results of the HSP, HEG and HMEG methods at \(\alpha =0.9\) for Example 5.2

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

0.093

23

2.4887E−02

12,075

HEG

0.046

15

2.4897E−02

7395

HMEG

0.015

2

8.8361E−02

609

22

HSP

12.859

208

5.6912E−03

1,926,288

HEG

7.406

117

5.9235E−03

989,937

HMEG

0.625

36

1.0583E−02

82,761

38

HSP

95.453

513

3.7797E−03

14,748,237

HEG

60.671

292

4.4777E−03

7,637,844

HMEG

5.625

91

6.9404E−03

641,109

54

HSP

357.594

899

2.1237E−03

53,031,111

HEG

205.953

518

3.5163E−03

27,754,958

HMEG

18.984

165

5.3069E−03

2,387,133