Research Article
Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation
Table 6
Comparison of AEs of Example (
4) with the existing method for
.
| | Classical RK4 method | England version of RK4 method | Method in Masjed-Jamei and Shayegan’s [13] study |
| 0.04 | 7.3100e-12 | 3.2081e-12 | 7.3571e-10 | 0.12 | 1.9787e-11 | 8.0284e-12 | 6.4020e-10 | 0.20 | 2.9412e-11 | 1.0784e-11 | 5.5994e-10 | 0.28 | 3.6355e-11 | 1.1687e-11 | 4.9544e-10 | 0.36 | 4.0948e-11 | 1.1081e-11 | 4.4430e-10 | 0.44 | 4.3639e-11 | 9.3986e-12 | 4.0436e-10 | 0.52 | 4.4935e-11 | 7.1134e-12 | 3.7372e-10 | 0.60 | 4.5352e-11 | 4.6831e-12 | 3.5071e-10 | 0.68 | 4.5351e-11 | 2.5024e-12 | 3.3386e-10 | 0.76 | 4.5308e-11 | 8.6497e-13 | 3.2180e-10 | 0.84 | 4.5480e-11 | 5.7176e-14 | 3.1329e-10 | 0.92 | 4.6005e-11 | 2.1705e-13 | 3.0678e-10 | 1 | 4.6913e-11 | 3.2307e-13 | 3.0067e-10 |
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