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Theory and Modern Applications

Table 3 Numerical comparison via maximum absolute error at \(\alpha=2\)

From: Two computational approaches for solving a fractional obstacle system in Hilbert space

h

\(\frac{\pi}{20}\)

\(\frac{\pi}{40}\)

\(\frac{\pi}{80}\)

RKM

2.07 × 10−6

1.06 × 10−6

5.37 × 10−6

RPSM

7.35 × 10−7

92.4 × 10−5

1.66 × 10−5

Spline [5]

6.43 × 10−4

1.83 × 10−4

4.87 × 10−5

Cubic splines [11]

1.26 × 10−3

3.29 × 10−4

8.43 × 10−5

Spline [6]

1.94 × 10−3

4.99 × 10−4

1.27 × 10−4

Spline [10]

2.20 × 10−3

5.87 × 10−4

1.51 × 10−4

Finite difference [7]

2.50 × 10−2

1.29 × 10−2

6.58 × 10−3

Cubic splines [4]

1.40 × 10−2

7.71 × 10−3

4.04 × 10−3