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Theory and Modern Applications

Table 8 Best results of Example 7

From: Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

Optimal value

MAE

Method

\(\mathcal{J}\)

State function

Control function

ϕ(x)

v(x)

10−17

10−16

10−09

SU-pseudo-GM

(M = 3)

(M = 3)

(M = 3)

10−16

[19]

(M = 4)

10−10

10−05

10−01

[18]

(M = 9)

(M = 9) “PW-AE”

(M = 9) “PW-AE”

10−05

10−03

10−05

[49]

(M = 7)

(M = 7)

(M = 7)

10−06

10−05

[50]

(M = 8)

(M = 6) “PW-AE”