Research Article
The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations with the Riemann-Liouville Derivative
Table 3
Numerical results for
in Example
3 with comparison to [
25ā
27].
| | Present method
| ADM [25] | FDTM [26] | BPFs [27] |
| 0.1 | 0.023779 | 0.023790 | 0.023790 | 0.023800 | 0.2 | 0.067336 | 0.067330 | 0.067330 | 0.067335 | 0.3 | 0.123886 | 0.123896 | 0.123896 | 0.123900 | 0.4 | 0.191373 | 0.191362 | 0.191362 | 0.191368 | 0.5 | 0.268851 | 0.268856 | 0.268856 | 0.268862 | 0.6 | 0.356235 | 0.356238 | 0.356238 | 0.356244 | 0.7 | 0.453958 | 0.453950 | 0.453950 | 0.453956 | 0.8 | 0.562999 | 0.563007 | 0.563007 | 0.563014 | 0.9 | 0.685066 | 0.685056 | 0.685056 | 0.685067 | 1 | 0.822540 | 0.822511 | 0.822509 | 0.822525 |
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