Research Article
Solving Fractional Diffusion Equation via the Collocation Method Based on Fractional Legendre Functions
Table 3
Errors in FDM [
17] and the proposed method at
.
| | | | | | Error in FDM | Er | Error in FDM | Er |
| | 0.1 | 1.7 ∗ 10−6 | 3.1 ∗ 10−11 | 1.4 ∗ 10−6 | 2.9 ∗ 10−11 | | 0.2 | 3.1 ∗ 10−6 | 4.2 ∗ 10−11 | 2.5 ∗ 10−6 | 2.9 ∗ 10−11 | | 0.3 | 4.0 ∗ 10−6 | 4.7 ∗ 10−11 | 3.3 ∗ 10−6 | 3.1 ∗ 10−11 | | 0.4 | 4.6 ∗ 10−6 | 4.9 ∗ 10−11 | 3.8 ∗ 10−6 | 3.3 ∗ 10−11 | | 0.5 | 4.8 ∗ 10−6 | 5.2 ∗ 10−11 | 4.0 ∗ 10−6 | 3.6 ∗ 10−11 | | 0.6 | 4.6 ∗ 10−6 | 3.9 ∗ 10−11 | 3.8 ∗ 10−6 | 3.3 ∗ 10−11 | | 0.7 | 4.0 ∗ 10−6 | 3.2 ∗ 10−11 | 3.3 ∗ 10−6 | 3.1 ∗ 10−11 | | 0.8 | 3.1 ∗ 10−6 | 2.8 ∗ 10−11 | 2.5 ∗ 10−6 | 2.2 ∗ 10−11 | | 0.9 | 1.7 ∗ 10−6 | 2.1 ∗ 10−11 | 1.4 ∗ 10−6 | 1.9 ∗ 10−11 |
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