Research Article
A New Iterative Method for the Approximate Solution of Klein-Gordon and Sine-Gordon Equations
Table 3
The absolute error of
for different values of
.
| | Exact solution | Approximate solution | Absolute error |
| 0.1 | 1.57580 | 1.57582 | 0.00022 | 0.2 | 1.5908 | 1.59088 | 0.00034 | 0.3 | 1.61579 | 1.61595 | 0.00039 | 0.4 | 1.65078 | 1.65094 | 0.00036 | 0.5 | 1.69573 | 1.69569 | 0.00026 | 0.6 | 1.7506 | 1.74993 | 0.00067 | 0.7 | 1.81531 | 1.81327 | 0.00204 | 0.8 | 1.88971 | 1.88515 | 0.00456 | 0.9 | 1.9736 | 1.96485 | 0.00875 | 1.0 | 2.06668 | 2.05142 | 0.00875 |
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