Theory and Modern Applications
Table 6 The absolute error at \(\pmb{t=1}\) with \(\pmb{\alpha=1.8}\) , \(\pmb{\beta =1}\) and \(\pmb{n=5}\) for Example 9.2
From: Normalized Bernstein polynomials in solving space-time fractional diffusion equation
x | Proposed method (collocation) | Proposed method (Galerkin) | Method in [ 21 ] |
|---|---|---|---|
0.1 | 2.40083 × 10−8 | 5.84791 × 10−7 | 3.050 × 10−6 |
0.2 | 2.97841 × 10−8 | 8.63544 × 10−7 | 4.260 × 10−6 |
0.3 | 2.54578 × 10−8 | 9.29233 × 10−7 | 5.995 × 10−6 |
0.4 | 1.72148 × 10−8 | 8.58172 × 10−7 | 6.942 × 10−6 |
0.5 | 9.34788 × 10−9 | 7.11067 × 10−7 | 4.575 × 10−6 |
0.6 | 4.30953 × 10−9 | 5.34071 × 10−7 | 2.370 × 10−6 |
0.7 | 2.76392 × 10−9 | 3.59841 × 10−7 | 1.142 × 10−5 |
0.8 | 3.63934 × 10−9 | 2.08591 × 10−7 | 1.393 × 10−5 |
0.9 | 4.18034 × 10−9 | 8.91471 × 10−8 | 7.452 × 10−6 |