Research Article
Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation
Table 4
Comparisons of AEs of Example (
1) with the existing methods for
.
| | England version of RK4 (Present method) | Method in Ala’yed et al.’s [17] study | Method in File and Aga’s [11] study | Method in Ghomanjani and Khorram’s [12] study |
| 0.1 | 3.6077e-09 | 6.5346e-8 | 1.1153e-7 | 0.00034681435605 | 0.3 | 1.1965e-08 | 2.0112e-7 | 4.6838e-7 | 0.00067436472882 | 0.5 | 2.2093e-08 | 3.6696e-7 | 1.1237e-6 | 3.8747e-10 | 0.7 | 3.4318e-08 | 5.6951e-7 | 2.3239e-6 | 0.00067437189321 | 0.9 | 4.8992e-08 | 8.1691e-7 | 4.5182e-6 | 0.00034682221170 | 1 | 5.7356e-08 | 9.5347e-7 | 6.2225e-6 | 0.000000000000 |
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