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Theory and Modern Applications

Table 4 Absolute errors at N=M=5 , ν=1.8 with x=1 and different choices of α , β for Example 3

From: The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation

t

α = β = 0

α = β = 0.5

α = β = 1

α = −β = −0.5

α = β = −0.5

0.1

5.2 × 10−7

4.9 × 10−7

4.0 × 10−7

8.1 × 10−7

4.5 × 10−7

0.2

2.3 × 10−7

7.8 × 10−8

2.4 × 10−8

1.6 × 10−7

4.5 × 10−7

0.3

3.8 × 10−7

3.1 × 10−7

2.5 × 10−7

5.1 × 10−7

4.6 × 10−7

0.4

1.0 × 10−7

4.8 × 10−8

1.6 × 10−8

2.3 × 10−7

2.1 × 10−7

0.5

4.0 × 10−7

2.9 × 10−7

2.2 × 10−7

2.8 × 10−7

5.9 × 10−7

0.6

1.0 × 10−7

4.8 × 10−8

1.5 × 10−8

3.2 × 10−7

2.0 × 10−7

0.7

3.7 × 10−7

3.0 × 10−7

2.4 × 10−7

1.0 × 10−7

4.5 × 10−7

0.8

2.1 × 10−7

7.4 × 10−8

2.3 × 10−8

3.0 × 10−7

4.3 × 10−7

0.9

4.9 × 10−7

4.6 × 10−7

3.7 × 10−7

1.4 × 10−7

4.2 × 10−7