Research Article
Couple of the Variational Iteration Method and Fractional-Order Legendre Functions Method for Fractional Differential Equations
Table 2
Numerical results of Example
12 for
in comparison to [
34].
| | | | | Reference [34] | Ours | Reference [34] | Ours | Reference [34] | Ours | Exact |
| 0.1 | 0.321730 | 0.592833 | 0.216866 | 0.245446 | 0.110294 | 0.110308 | 0.110295 | 0.2 | 0.629666 | 0.933104 | 0.428892 | 0.475051 | 0.241965 | 0.241990 | 0.241977 | 0.3 | 0.940941 | 1.174069 | 0.654614 | 0.710050 | 0.395106 | 0.395119 | 0.395105 | 0.4 | 1.250737 | 1.346694 | 0.891404 | 0.938523 | 0.568115 | 0.567830 | 0.567812 | 0.5 | 1.549439 | 1.473790 | 1.132763 | 1.149016 | 0.757564 | 0.756032 | 0.756014 | 0.6 | 1.825456 | 1.570577 | 1.370240 | 1.334339 | 0.958259 | 0.953583 | 0.953566 | 0.7 | 2.066523 | 1.646302 | 1.594278 | 1.491949 | 1.163459 | 1.152968 | 1.152949 | 0.8 | 2.260633 | 1.706644 | 1.794879 | 1.622950 | 1.365240 | 1.346381 | 1.346364 | 0.9 | 2.396839 | 1.756349 | 1.962239 | 1.730575 | 1.554960 | 1.526927 | 1.526911 |
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