Research Article
Numerical Approximation of Nonlinear Klein-Gordon Equation Using an Element-Free Approach
Table 1
Values of
-norm errors and
-norm errors and CPU time as functions of the number of nodes (
) for the solutions of Example 1 (
= 10,
= 0.1, and
= 3).
| | -norm error | error | CPU time (s) |
| | 11 | 4.7172 × 10−4 | 2.0891 × 10−4 | 1.5224 | | 21 | 6.6446 × 10−4 | 2.1335 × 10−4 | 1.7486 | | 51 | 1.0503 × 10−3 | 2.1488 × 10−4 | 5.2065 | | 101 | 1.5343 × 10−3 | 2.1500 × 10−4 | 10.3477 | | 201 | 2.1912 × 10−3 | 2.1504 × 10−4 | 19.8889 | | 251 | 2.3485 × 10−3 | 2.1505 × 10−4 | 25.6620 |
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