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Theory and Modern Applications

Table 6 Comparison between different errors of Example 4 for the case \(\pmb{M=9}\)

From: Integral spectral Tchebyshev approach for solving space Riemann-Liouville and Riesz fractional advection-dispersion problems

x

PGCCM

[ 20 ]

[ 21 ]

ν  = 1.2

ν  = 1.5

ν  = 1.8

ν  = 1.2

ν  = 1.5

ν  = 1.8

ν  = 1.2

ν  = 1.5

ν  = 1.8

0.2

1⋅10−12

2⋅10−12

1⋅10−12

2⋅10−12

4⋅10−11

4⋅10−11

2⋅10−3

1⋅10−3

7⋅10−4

0.4

3⋅10−12

5⋅10−12

1⋅10−12

1⋅10−10

9⋅10−11

1⋅10−10

1⋅10−3

1⋅10−3

6⋅10−4

0.6

4⋅10−12

6⋅10−12

1⋅10−12

2⋅10−10

2⋅10−10

1⋅10−10

9⋅10−4

7⋅10−4

4⋅10−4

0.8

2⋅10−12

1⋅10−12

2⋅10−12

1⋅10−10

2⋅10−10

2⋅10−10

8⋅10−4

6⋅10−4

3⋅10−4

1.0

7⋅10−12

3⋅10−12

2⋅10−12

2⋅10−10

2⋅10−10

2⋅10−10

7⋅10−4

6⋅10−4

3⋅10−4

1.2

4⋅10−12

2⋅10−12

2⋅10−12

2⋅10−10

2⋅10−10

3⋅10−10

8⋅10−4

6⋅10−4

3⋅10−4

1.4

2⋅10−12

3⋅10−12

2⋅10−12

2⋅10−10

2⋅10−10

2⋅10−10

9⋅10−4

7⋅10−4

4⋅10−4

1.6

3⋅10−12

3⋅10−12

1⋅10−12

5⋅10−11

1⋅10−10

6⋅10−11

1⋅10−3

1⋅10−3

6⋅10−4

1.8

5⋅10−12

4⋅10−12

3⋅10−12

3⋅10−11

4⋅10−11

3⋅10−11

2⋅10−3

1⋅10−3

7⋅10−4

Max

7⋅10−12

6⋅10−12

3⋅10−12

2⋅10−10

2⋅10−10

3⋅10−10

-

-

-