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Theory and Modern Applications

Table 1 l ∞ error at N=M=5 for ν=1.2,1.4 and â–³x=â–³t for Example 1

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

â–³x

ν

Sousa [31]

α = β = 0

α = β = 1

α = β = 0.5

α = β = −0.5

1/15

1.2

1.275 × 10−3

2.873 × 10−7

1.739 × 10−7

2.239 × 10−7

3.505 × 10−6

1/20

7.571 × 10−4

2.051 × 10−7

1.179 × 10−7

1.552 × 10−7

2.623 × 10−6

1/25

5.030 × 10−4

1.493 × 10−7

8.316 × 10−8

1.111 × 10−7

1.960 × 10−6

1/30

3.566 × 10−4

1.123 × 10−7

6.095 × 10−8

8.247 × 10−8

1.500 × 10−6

1/15

1.4

9.070 × 10−4

2.296 × 10−7

1.446 × 10−7

1.833 × 10−7

2.693 × 10−6

1/20

5.327 × 10−4

1.635 × 10−7

9.792 × 10−8

1.269 × 10−7

1.993 × 10−6

1/25

3.486 × 10−4

1.191 × 10−7

6.892 × 10−8

9.083 × 10−8

1.486 × 10−6

1/30

2.461 × 10−4

8.971 × 10−8

5.043 × 10−8

6.741 × 10−8

1.138 × 10−6