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Table 3 Numerical results of the Example 2 for \(\alpha=1.2\)

From: A medium-shifted splitting iteration method for a diagonal-plus-Toeplitz linear system from spatial fractional Schrödinger equations

Method

 

M

 

800

1600

3200

5000

10,000

20,000

PMS2

IT

3

3

3

3

3

3

CPU (s)

0.2348

0.9579

3.2193

7.1782

29.0157

129.1786

Error

2.770e − 07

2.686e − 07

2.961e − 07

2.079e − 07

7.641e − 08

1.286e − 07

PMS1

IT

3

3

3

3

3

3

CPU (s)

0.2409

1.0279

4.9241

12.0993

67.6799

371.9630

Error

2.770e − 07

2.686e − 07

2.961e − 07

2.079e − 07

7.641e − 08

1.286e − 07

MS2

IT

3

3

3

3

3

3

CPU (s)

0.4332

1.4621

9.2120

41.7877

321.7863

1142.70

Error

2.769e − 07

2.686e − 07

2.961e − 07

2.077e − 07

7.641e − 08

1.244e − 07

MS1

IT

3

3

3

3

3

3

CPU (s)

0.1284

1.2033

5.2434

11.9182

64.7608

385.2560

Error

2.769e − 07

2.686e − 07

2.961e − 07

2.079e − 07

7.641e − 08

1.293e − 07

SOR

IT

10

21

62

153

695

2643

CPU (s)

0.4765

1.2821

17.4924

97.5482

2052.3

29904.00

Error

8.763e − 07

5.357e − 07

8.707e − 07

9.933e − 07

9.976e − 07

9.999e − 07