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Theory and Modern Applications

Table 2 Numerical results for Example 2

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

406

3.32

1.95e−02

153

2.27

8.29e−02

142

1.62

1.37e−01

HSPAOR

136

1.48

1.94e−02

77

1.30

8.30e−02

71

0.67

1.36e−01

QSPAOR

49

0.72

1.94e−02

34

0.64

8.29e−02

19

0.33

1.35e−01

256

FSPAOR

1270

14.75

1.95e−02

591

8.21

8.29e−02

236

4.28

1.37e−01

HSPAOR

618

7.21

1.94e−02

287

4.33

8.30e−02

111

2.33

1.36e−01

QSPAOR

270

3.35

1.94e−02

141

2.03

8.29e−02

81

1.96

1.35e−01

512

FSPAOR

4841

91.72

1.95e−02

2330

53.97

8.29e−02

1064

31.84

1.37e−01

HSPAOR

2365

44.07

1.95e−02

1139

23.24

8.30e−02

519

12.77

1.36e−01

QSPAOR

1044

21.10

1.94e−02

592

11.87

8.29e−02

324

5.25

1.35e−01

1024

FSPAOR

16,373

152.97

1.94e−02

8471

428.76

8.29e−02

4029

323.97

1.37e−01

HSPAOR

8816

61.07

1.94e−02

4273

213.24

8.30e−02

1987

148.63

1.36e−01

QSPAOR

3908

29.58

1.94e−02

1895

106.90

8.29e−02

1219

51.76

1.35e−01

2048

FSPAOR

59,608

853.87

1.94e−02

31,048

1121.34

8.29e−02

14,899

614.63

1.37e−01

HSPAOR

29,771

426.83

1.95e−02

15,340

511.24

8.30e−02

7344

253.97

1.36e−01

QSPAOR

13,203

209.50

1.94e−02

6852

251.99

8.29e−02

4497

123.18

1.35e−01