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Theory and Modern Applications

Table 1 Maximum absolute errors in Example 1

From: A hybrid method for solving time fractional advection–diffusion equation on unbounded space domain

s

m = 10

m = 15

α = 0.4

α = 0.6

α = 0.8

α = 1

α = 0.3

α = 0.5

α = 0.7

α = 0.9

10

8.8475E−02

3.1992E−02

5.9763E−01

9.7876E−02

1.0174E−01

7.6296E−00

2.8850E−00

2.1390E−01

15

1.3870E−03

1.4295E−03

1.4275E−03

1.4113E−03

1.3330E−03

1.4168E−03

1.4315E−03

1.4201E−03

20

6.8639E−06

4.4667E−06

4.4759E−06

4.4649E−06

7.3821E−06

6.9270E−06

4.4737E−06

4.4729E−06

25

3.1811E−07

3.1837E−07

3.1856E−07

3.1860E−07

3.1799E−07

3.1825E−07

3.1848E−07

3.1860E−07

30

6.0001E−10

5.9879E−10

5.9691E−10

5.9409E−10

6.0046E−10

5.9947E−10

5.9796E−10

5.9560E−10