Research Article
Legendre Wavelet Operational Matrix Method for Solution of Riccati Differential Equation
Table 1
Numerical results of Example
1 for
.
| | Exact solution |
Absolute error in [22] |
Absolute error in [20] | LWM | LWM | LWM | , | , | , |
| 0.1 | 0.099667 | 7.519 | 9.305 | 0 | 0 | 0 | 0.2 | 0.197375 | 1.526 | 2.932 | 1.918 | 0 | 0 | 0.3 | 0.291312 | 3.935 | 3.783 | 2.728 | 1.45 | 0 | 0.4 | 0.379948 | 4.324 | 2.813 | 1.658 | 1.17 | 1.94 | 0.5 | 0.462117 | 8.414 | 9.804 | 1.318 | 3.28 | 3.20 | 0.6 | 0.537049 | 2.945 | 7.933 | 1.988 | 4.97 | 1.24 | 0.7 | 0.604367 | 3.354 | 9.443 | 2.528 | 6.32 | 1.58 | 0.8 | 0.664036 | 5.444 | 1.172 | 2.948 | 7.36 | 1.84 | 0.9 | 0.716297 | 6.569 | 3.962 | 3.238 | 8.12 | 1.94 | 1.0 | 0.761594 | 2.536 | 2.952 | 2.638 | 4.62 | 1.99 |
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