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Theory and Modern Applications

Table 3 The numerical results of the HSP, HEG and HMEG methods at \(\alpha =0.3\) 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

0.125

31

4.8575E−03

16,275

HEG

0.078

21

4.8648E−03

10,353

HMEG

0.015

2

6.9708E−03

609

14

HSP

2.796

141

4.3450E−03

500,409

HEG

1.578

79

4.4206E−03

257,619

HMEG

0.171

23

4.8858E−03

20,181

22

HSP

20.093

309

4.0362E−03

2,861,649

HEG

10.734

171

4.2367E−03

1,446,831

HMEG

0.796

51

4.5519E−03

114,261

30

HSP

64.468

527

3.6839E−03

9,307,347

HEG

35.515

291

4.0316E−03

4,683,063

HMEG

2.984

87

4.4048E−03

371,637