Research Article
A New Iterative Method for the Approximate Solution of Klein-Gordon and Sine-Gordon Equations
Table 2
The absolute error of
for different values of
at
.
| | Exact solution | Approximate solution | Absolute error |
| 0.5 | 1.47929 | 1.47951 | 0.00022 | 1 | 1.84126 | 1.8416 | 0.00034 | 1.5 | 1.99725 | 1.99764 | 0.00039 | 2 | 1.90907 | 1.90943 | 0.00036 | 2.5 | 1.59831 | 1.59857 | 0.00026 | 3 | 1.14105 | 1.14118 | 0.00013 | 3.5 | 0.649213 | 0.649255 | 0.000042 | 4 | 0.243232 | 0.243238 | 6 | 4.5 | 0.0225187 | 0.0225188 | 1 | 5 | 0.0411236 | 0.0411238 | 2 |
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