Research Article
Treating Transcendental Functions in Partial Differential Equations Using the Variational Iteration Method with Bernstein Polynomials
Table 5
The absolute and mean square errors using
for (
33) when n=m=2 and
.
| | X | VIM-Berns. | Exact | |
| | 0.1 | 1.00045061 | 1.0001000 | 3.506120×10−4 |
| | 0.2 | 1.00111203 | 1.0004000 | 7.120320×10−4 |
| | 0.3 | 1.00187539 | 1.0009000 | 9.753990×10−4 |
| | 0.4 | 1.00274069 | 1.0016000 | 1.1460690×10−3 |
| | 0.5 | 1.00370788 | 1.0025000 | 1.207884×10−3 |
| | 0.6 | 1.00477695 | 1.0036000 | 1.176957×10−3 |
| | 0.7 | 1.005947880 | 1.0049000 | 1.047886×10−3 |
| | 0.8 | 1.00722064 | 1.0064000 | 8.206490×10−4 |
| | 0.9 | 1.00859522 | 1.0081000 | 4.952220×10−4 |
| | 1.0 | 1.01007158 | 1.0100000 | 7.158300×10−5 |
| | MSE | | | 7.748606×10−7 |
|
|
