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Theory and Modern Applications

Table 2 MAEs of problem ( 4.1 ) at \(\pmb{\theta_{i}=\vartheta_{i}=0}\) , \(\pmb{i=1,2,3}\)

From: Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem

γ ( x , y , t )

N  = 4

N  = 6

N  = 8

N  = 10

0.5

1.31 × 10−4

2.40 × 10−7

2.08 × 10−10

2.13 × 10−13

\({\cos(xyt + \frac{{1 }}{100})}\)

4.48 × 10−4

7.12 × 10−7

2.13 × 10−10

1.82 × 10−13

\(\frac{{e^{xyt} + \cos(xyt)}}{{20}}\)

4.48 × 10−4

2.35 × 10−7

2.09 × 10−10

2.16 × 10−13

\(\frac{{\sqrt{xyt} + 1}}{{15}}\)

1.31 × 10−4

2.40 × 10−7

2.08 × 10−10

2.10 × 10−13