Research Article
Treating Transcendental Functions in Partial Differential Equations Using the Variational Iteration Method with Bernstein Polynomials
Table 4
The absolute and mean square errors using
for (
28) when n=m=2 and
.
| | t | VIM-Berns. | Exact | |
| | 0.01 | 0.6981473299 | 0.6981347221 | 1.260780×10−5 |
| | 0.02 | 0.7031437324 | 0.7030975114 | 4.622100×10−5 |
| | 0.03 | 0.7081301493 | 0.7080357931 | 9.435620×10−5 |
| | 0.04 | 0.7131001195 | 0.7129498079 | 1.503116×10−4 |
| | 0.05 | 0.7180469602 | 0.7178397932 | 2.071670×10−4 |
| | 0.06 | 0.7229637696 | 0.7227059828 | 2.577866×10−4 |
| | 0.07 | 0.7278434274 | 0.7275486073 | 2.948201×10−4 |
| | 0.08 | 0.7326785978 | 0.7323678937 | 3.107041×10−4 |
| | 0.09 | 0.7374617300 | 0.7371640660 | 2.976640×10−4 |
| | 0.1 | 0.7421850610 | 0.7419373447 | 2.477163×10−4 |
| | MSE | | | 2.330795×10−8 |
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