Research Article
Numerical Approximation of Nonlinear Klein-Gordon Equation Using an Element-Free Approach
Table 5
Values of
-norm errors and
-norm errors and CPU time as functions of the number of nodes (
N) for the solutions of Example 3 (
= 2,
= 0.1, and
= 2.5).
| | -norm error | error | CPU time (s) |
| | 13 | 1.9791 × 10−5 | 1.3049 × 10−5 | 447.3713 | | 21 | 9.5355 × 10−6 | 5.7505 × 10−6 | 559.7717 | | 51 | 2.8692 × 10−6 | 1.7171 × 10−6 | 600.6953 | | 101 | 1.8512 × 10−6 | 1.3635 × 10−6 | 650.4551 | | 126 | 1.4819 × 10−6 | 1.0907 × 10−6 | 687.4458 | | 201 | 7.8596 × 10−7 | 5.3053 × 10−7 | 721.8184 |
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