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Theory and Modern Applications

Table 2 The maximum error for \(N=1,\ldots, 6\), \(\lambda _{1}=0.5\), \(\lambda _{2}=0.5\), \(\beta =0.5\) and different values of the parameter α in Example 7.3

From: A fast numerical method for fractional partial differential equations

N

α = 0.1

α = 0.3

α = 0.5

α = 0.7

α = 0.9

1

3.4243.10−02

1.9167.10−02

4.1523.10−02

3.0790.10−02

2.7848.10−02

2

1.8745.10−03

1.9548.10−03

1.6683.10−03

1.5703.10−03

1.3961.10−03

3

1.0347.10−04

1.5833.10−04

7.8774.10−05

4.5813.10−05

1.0989.10−04

4

1.5305.10−06

5.5149.10−06

4.4306.10−06

2.1457.10−06

1.7219.10−06

5

3.1330.10−08

4.7322.10−06

2.4929.10−07

7.1379.10−08

1.9298.10−08

6

6.0701.10−10

1.4718.10−07

1.3745.10−08

2.6000.10−09

1.1406.10−09