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Theory and Modern Applications

Table 2 The maximum absolute error with \(\pmb{\gamma=0.4}\) for Example  9.1 , the Galerkin method

From: Normalized Bernstein polynomials in solving space-time fractional diffusion equation

α

T  = 2

T  = 10

T  = 100

CPU time (s)

\(\boldsymbol{R_{\infty}}\)

1.2

1.18738 × 10−4

2.17028 × 10−5

2.28411 × 10−7

17.082

5.4121 × 10−5

1.4

1.18497 × 10−4

2.16751 × 10−5

2.2801 × 10−7

16.331

5.41498 × 10−5

1.6

1.18139 × 10−4

2.15888 × 10−5

2.27469 × 10−7

16.472

5.42155 × 10−5

1.8

1.17613 × 10−4

2.14884 × 10−5

2.26757 × 10−7

16.256

5.43212 × 10−5