Table 4 Numerical results for ,
From: Sinc-Galerkin method for approximate solutions of fractional order boundary value problems
x | Exact solution | Approx. sol. (SGM) | Approx. sol. (CS) | Error (SGM) | Error (CS) (h = 1/8) |
|---|---|---|---|---|---|
0 | 0 | 0 | 0 | 0 | 0 |
0.125 | −0.000213623 | 0.0000672651 | −2.21∗10−3 | 2.80∗10−4 | 1.99∗10−3 |
0.250 | −0.00292969 | 0.00179474 | −7.01∗10−3 | 4.72∗10−3 | 4.08∗10−3 |
0.375 | −0.0123596 | −0.00807839 | −1.81∗10−2 | 4.28∗10−3 | 5.83∗10−3 |
0.500 | −0.03125 | −0.0282408 | −3.81∗10−2 | 3.00∗10−3 | 6.85∗10−3 |
0.625 | −0.0572205 | −0.0540496 | −6.40∗10−1 | 3.17∗10−3 | 5.83∗10−1 |
0.750 | −0.0791016 | −0.0772466 | −8.46∗10−2 | 1.85∗10−3 | 5.56∗10−3 |
0.875 | −0.0732727 | −0.0763662 | −7.65∗10−2 | 3.09∗10−3 | 3.26∗10−3 |
1 | 0 | 0 | 0 | 0 | 0 |