Theory and Modern Applications
Table 2 The maximum absolute error \(| u' ( x_{i} ) - u '_{n} ( x_{i} ) |\) at \(\alpha=1\) using RKM
From: Two computational approaches for solving a fractional obstacle system in Hilbert space
\(x_{i}\) | n = 20 | n = 40 | n = 100 | n = 200 |
|---|---|---|---|---|
π/4 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
π/3 | 1.249 × 10−4 | 2.164 × 10−5 | 2.516 × 10−6 | 5.486 × 10−7 |
π/2 | 5.703 × 10−5 | 8.945 × 10−6 | 8.858 × 10−7 | 1.744 × 10−7 |
2π/3 | 2.544 × 10−5 | 9.454 × 10−6 | 1.902 × 10−6 | 5.118 × 10−7 |
3π/4 | 9.562 × 10−5 | 2.732 × 10−5 | 4.726 × 10−6 | 1.212 × 10−6 |