Research Article
The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations with the Riemann-Liouville Derivative
Table 2
Numerical results for
and
in Example
2 with comparison to exact solution and [
14].
| | Exact | Present method
| Reference [14] |
| 0.1 | 0.110295 | 0.110295 | 0.110294 | 0.2 | 0.241977 | 0.241977 | 0.241965 | 0.3 | 0.395105 | 0.395105 | 0.395106 | 0.4 | 0.567812 | 0.567812 | 0.568115 | 0.5 | 0.756014 | 0.756014 | 0.757564 | 0.6 | 0.953566 | 0.953566 | 0.958259 | 0.7 | 1.152949 | 1.152949 | 1.163459 | 0.8 | 1.346364 | 1.346364 | 1.365240 | 0.9 | 1.526911 | 1.526911 | 1.554960 | 1 | 1.689499 | 1.689499 | 1.723810 |
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