Research Article
Treating Transcendental Functions in Partial Differential Equations Using the Variational Iteration Method with Bernstein Polynomials
Table 6
The absolute and mean square errors using
for (
33) when n=m=3 and
.
| | X | VIM-Berns. | Exact | |
| | 0.1 | 1.000331808 | 1.000100000 | 2.318080×10−4 |
| | 0.2 | 1.000871722 | 1.000400000 | 4.717220×10−4 |
| | 0.3 | 1.001545844 | 1.000900000 | 6.458440×10−4 |
| | 0.4 | 1.002354355 | 1.001600000 | 7.5433550×10−4 |
| | 0.5 | 1.003297432 | 1.002500000 | 7.974320×10−4 |
| | 0.6 | 1.004375255 | 1.003600000 | 7.752550×10−4 |
| | 0.7 | 1.005587998 | 1.004900000 | 6.879980×10−4 |
| | 0.8 | 1.006935836 | 1.006400000 | 5.358360×10−4 |
| | 0.9 | 1.008418942 | 1.008100000 | 3.189420×10−4 |
| | 1.0 | 1.010037492 | 1.010000000 | 3.749200×10−4 |
| | MSE | | | 3.362928×10−7 |
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