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Theory and Modern Applications

Table 1 Numerical results for Example 1

From: Iterative method for solving one-dimensional fractional mathematical physics model via quarter-sweep and PAOR

M

Method

α = 0.25

α = 0.50

α = 0.75

K

Seconds

MAE

K

Seconds

MAE

K

Seconds

MAE

128

FSPAOR

1351

5.80

9.97e−05

694

0.92

9.86e−05

318

0.37

1.30e−04

HSPAOR

409

2.47

9.97e−05

253

0.46

9.85e−05

93

0.12

1.30e−04

QSPAOR

200

0.92

9.96e−05

124

0.24

9.84e−05

44

0.07

1.29e−04

256

FSPAOR

4192

24.95

9.97e−05

2694

7.52

9.90e−05

1307

2.92

1.30e−04

HSPAOR

1605

11.00

9.97e−05

1027

4.47

9.89e−05

492

1.46

1.29e−04

QSPAOR

784

4.19

9.95e−05

502

2.10

9.88e−05

241

0.87

1.28e−04

512

FSPAOR

15,608

236.25

9.99e−05

10,085

62.59

9.90e−05

4947

29.56

1.32e−04

HSPAOR

6029

114.76

9.97e−05

3887

32.61

9.90e−05

1900

15.05

1.31e−04

QSPAOR

2950

43.02

9.95e−05

1540

15.21

9.89e−05

928

7.21

1.30e−04

1024

FSPAOR

54,130

3378.36

9.99e−05

33,652

432.78

9.90e−05

16,609

215.41

1.40e−04

HSPAOR

21,478

1613.83

9.97e−05

13,387

212.95

9.88e−05

6498

113.40

1.40e−04

QSPAOR

10,640

898.67

9.95e−05

5531

103.96

9.87e−05

3479

53.67

1.39e−04

2048

FSPAOR

196,523

14,378.36

9.99e−05

121,947

3026.56

9.90e−05

59,500

1211.32

1.71e−04

HSPAOR

77,153

7189.71

9.97e−05

47,933

1349.79

9.90e−05

23,344

694.40

1.71e−04

QSPAOR

38,471

3078.90

9.96e−05

19,711

601.76

9.88e−05

11,740

321.85

1.70e−04