Research Article
Approximate Solution of Nonlinear Klein-Gordon Equation Using Sobolev Gradients
Table 1
Comparison of solution for Example
4 using Euclidean and Sobolev Gradients with
,
, and
.
| | gradient | gradient | | Iterations | CPUs | | Iterations | CPUs |
| 10 | | 36015 | 0.1228 | 1.0 | 6469 | 1.4608 | 20 | | 228336 | 6.6846 | 1.0 | 8060 | 4.7661 | 50 | | 2181749 | 99.6085 | 1.0 | 9985 | 26.0143 | 70 |
— | — | — | 1.0 | 10671 | 63.8609 |
|
|