Research Article
An Adaptive Pseudospectral Method for Fractional Order Boundary Value Problems
Table 3
Comparison of solutions for Example
3.1, Case
4.
| x | FDM [28] | ADM [28] | VIM [28] | Present method | Exact |
| 0 | 0 | 0 | 0 | 0 | 0 | 0.1 | 0.039473 | 0.039874 | 0.039874 | 0.03975004 | 0.03975003 | 0.2 | 0.157703 | 0.158512 | 0.158512 | 0.15703584 | 0.15703582 | 0.3 | 0.352402 | 0.353625 | 0.353625 | 0.34736999 | 0.34736998 | 0.4 | 0.620435 | 0.622083 | 0.622083 | 0.60469514 | 0.60469515 | 0.5 | 0.957963 | 0.960047 | 0.960047 | 0.92176757 | 0.92176764 | 0.6 | 1.360551 | 1.363093 | 1.363093 | 1.29045651 | 1.29045656 | 0.7 | 1.823267 | 1.826257 | 1.826257 | 1.70200794 | 1.70200797 | 0.8 | 2.340749 | 2.344224 | 2.344224 | 2.14728692 | 2.14728693 | 0.9 | 2.907324 | 2.911278 | 2.911278 | 2.61700100 | 2.61700101 | 1 | 3.517013 | 3.521462 | 3.521462 | 3.10190571 | 3.10190571 |
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