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Theory and Modern Applications

Table 4 The MAEs of Example 3

From: Shifted Jacobi collocation method for solving multi-dimensional fractional Stokes’ first problem for a heated generalized second grade fluid

γ

Our method at (N,M,K) with \(\alpha _{1}=\beta _{1}=\alpha _{2}=\beta _{2}=\frac{1}{2}\), \(\alpha _{3}=\beta _{3}=0\)

(4,4,12)

(4,4,18)

\((\frac{1}{6},\frac {1}{6},\frac{1}{24})\)

\((\frac{1}{6},\frac{1}{6},\frac{1}{28})\)

0.55

2.871835 × 10−4

8.137372 × 10−5

1.9487123 × 10−5

1.059474 × 10−5

γ

Compact finite difference scheme [44]

\((\frac{1}{8},\frac{1}{8},\frac {1}{10})\)

\((\frac{1}{8},\frac{1}{8},\frac{1}{80})\)

\((\frac {1}{8},\frac{1}{8},\frac{1}{320})\)

\((\frac{1}{8},\frac{1}{8},\frac {1}{640})\)

0.55

1.2126 × 10−3

1.4427 × 10−4

3.5483 × 10−5

1.7808 × 10−5