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Theory and Modern Applications

Table 5 Comparison between different errors of Example 3 ( \(\pmb{t=2}\) )

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

x

\(\boldsymbol{E_{C}}\) ( M  = 7)

\(\boldsymbol{E_{\mathrm{PG}}}\) ( M  = 7)

[ 14 ] ( M  = 7, τ  = 0.002)

0.1

1.7⋅10−9

7.5⋅10−9

0.94⋅10−7

0.3

4.5⋅10−9

5.9⋅10−9

5.48⋅10−7

0.5

3.8⋅10−9

6.2⋅10−9

7.02⋅10−7

0.7

5.4⋅10−9

1.4⋅10−9

2.89⋅10−6

0.9

1.88⋅10−9

7.2⋅10−9

6.06⋅10−6