Research Article
Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation
Table 7
Comparison of AEs of Example (
5) with the existing method for
.
| | Classical RK4 method | England version of RK4 method | Method in Masjed-Jamei and Shayegan’s [13] study |
| 0.04 | 6.2454e-12 | 5.9921e-12 | 5.7760e-10 | 0.12 | 1.8305e-11 | 1.7579e-11 | 6.3606e-10 | 0.20 | 3.0242e-11 | 2.9066e-11 | 7.0280e-10 | 0.28 | 4.2489e-11 | 4.0871e-11 | 7.7828e-10 | 0.36 | 5.5411e-11 | 5.3341e-11 | 8.6407e-10 | 0.44 | 6.9339e-11 | 6.6796e-11 | 9.6195e-10 | 0.52 | 8.4599e-11 | 8.1547e-11 | 1.0741e-09 | 0.60 | 1.0152e-10 | 9.7917e-11 | 1.2030e-09 | 0.68 | 1.2048e-10 | 1.1626e-10 | 1.3518e-09 | 0.76 | 1.4185e-10 | 1.3695e-10 | 1.5242e-09 | 0.84 | 1.6611e-10 | 1.6043e-10 | 1.7245e-09 | 0.92 | 1.9377e-10 | 1.8721e-10 | 1.9582e-09 | 1 | 2.2542e-10 | 2.1786e-10 | 2.2316e-09 |
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