Research Article
A New Iterative Method for the Approximate Solution of Klein-Gordon and Sine-Gordon Equations
Table 1
The absolute error of
for different values of
at
.
| | Exact solution | Approximate solution | Absolute error |
| | 0.5 | 1.47948 | 1.47948 | 0.0000 | | 1 | 1.84152 | 1.84152 | 0.0000 | | 1.5 | 1.99754 | 1.99754 | 0.0000 | | 2 | 1.90935 | 1.90935 | 0.0000 | | 2.5 | 1.59852 | 1.59852 | 0.0000 | | 3 | 1.14117 | 1.14117 | 0.0000 | | 3.5 | 0.649267 | 0.649267 | 0.0000 | | 4 | 0.243248 | 0.243248 | 0.0000 | | 4.5 | 0.0225199 | 0.0225199 | 0.0000 | | 5 | 0.0411257 | 0.0411257 | 0.0000 |
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