Research Article
Treating Transcendental Functions in Partial Differential Equations Using the Variational Iteration Method with Bernstein Polynomials
Table 3
The absolute and mean square errors using
for (
28) when n=m=8 and
.
| | X | VIM-Berns. | Exact | |
| | 1.1 | 0.104613190 | 0.104360015 | 2.531755×10−4 |
| | 1.2 | 0.190945182 | 0.190620359 | 3.248227×10−4 |
| | 1.3 | 0.270371291 | 0.270027137 | 3.441544×10−4 |
| | 1.4 | 0.343920261 | 0.343589704 | 3.305573×10−4 |
| | 1.5 | 0.412406467 | 0.412109650 | 2.968162×10−4 |
| | 1.6 | 0.476485538 | 0.476234179 | 2.513593×10−4 |
| | 1.7 | 0.536693084 | 0.536493370 | 1.997142×10−4 |
| | 1.8 | 0.593472312 | 0.593326845 | 1.454676×10−4 |
| | 1.9 | 0.647194150 | 0.647103242 | 9.090796×10−5 |
| | 2.0 | 0.698172179 | 0.698134722 | 3.745730×10−5 |
| | MSE | | | 6.193132×10−8 |
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