Theory and Modern Applications
Table 10 The absolute error at \(\pmb{t=1}\) with \(\pmb{\alpha=1.8}\) , \(\pmb{\beta =1}\) and \(\pmb{n=5}\) for Example 9.3
From: Normalized Bernstein polynomials in solving space-time fractional diffusion equation
x | Proposed method (collocation) | Proposed method (Galerkin) | Method in [ 26 ] |
|---|---|---|---|
0.1 | 2.20576 × 10−9 | 2.35702 × 10−8 | 1.930 × 10−6 |
0.2 | 3.09058 × 10−8 | 6.54584 × 10−7 | 1.434 × 10−7 |
0.3 | 8.8553 × 10−8 | 5.16048 × 10−7 | 2.644 × 10−6 |
0.4 | 1.60935 × 10−7 | 3.24496 × 10−6 | 3.862 × 10−6 |
0.5 | 2.25077 × 10−7 | 5.80895 × 10−6 | 3.466 × 10−6 |
0.6 | 2.57137 × 10−7 | 6.17752 × 10−6 | 2.012 × 10−6 |
0.7 | 2.40314 × 10−7 | 3.18557 × 10−6 | 4.571 × 10−7 |
0.8 | 1.72743 × 10−7 | 2.29409 × 10−6 | 3.391 × 10−7 |
0.9 | 7.54001 × 10−8 | 6.17811 × 10−6 | 9.767 × 10−8 |