Theory and Modern Applications
Table 4 Numerical results of BVP (4.3) for different values of α
From: Two computational approaches for solving a fractional obstacle system in Hilbert space
\(x_{i}\) | Approximation | RKM solution | RPSM solution | ||
|---|---|---|---|---|---|
α = 1 | α = 0.8 | α = 0.6 | α = 0.8 | α = 0.6 | |
π/10 | 0.1353346202 | 0.227355418 | 0.294857345 | 0.144088806 | 0.152676695 |
π/5 | 0.2706525605 | 0.641687896 | 0.913634455 | 0.278361226 | 0.284904787 |
3π/10 | 0.3988269892 | 1.189220758 | 1.763838308 | 0.402107443 | 0.403056686 |
2π/5 | 0.4764432429 | 1.762740706 | 2.685475497 | 0.480094928 | 0.477335183 |
π/2 | 0.5019235931 | 2.273677267 | 3.523536976 | 0.520431513 | 0.517187458 |
3π/5 | 0.4778054404 | 2.609863040 | 4.085579443 | 0.537613446 | 0.535307921 |
7π/10 | 0.4016870606 | 2.608549642 | 4.108581183 | 0.548667613 | 0.544985720 |
4π/5 | 0.2736173911 | 2.140881895 | 3.391789601 | 0.320958940 | 0.367743677 |
9π/10 | 0.1368175023 | 1.206815918 | 1.916014914 | 0.197961504 | 0.256800410 |