Research Article
Solving Parabolic and Hyperbolic Equations with Variable Coefficients Using Space-Time Localized Radial Basis Function Collocation Method
Table 3
Results for different values of
in Example
1 with
. Uniform spaced nodes (left) and circular nodes (right), using Dirichlet conditions.
| | | | | | | |
| | 0.1 | 7.80E-05 | 2.78E-05 | 6.04E-05 | 3.08E-04 | 9.59E-05 | 2.03E-04 | | 0.2 | 6.70E-05 | 1.93E-05 | 4.17E-05 | 2.68E-04 | 8.22E-05 | 1.73E-04 | | 0.3 | 6.37E-05 | 7.79E-06 | 1.33E-05 | 2.04E-04 | 5.94E-05 | 1.23E-04 | | 0.4 | 5.91E-05 | 2.18E-05 | 4.94E-05 | 1.25E-04 | 2.91E-05 | 5.80E-05 | | 0.5 | 1.44E-04 | 5.19E-05 | 1.15E-04 | 1.03E-04 | 3.10E-05 | 6.78E-05 | | 0.6 | 2.58E-04 | 9.19E-05 | 2.02E-04 | 2.28E-04 | 8.58E-05 | 1.89E-04 | | 0.7 | 4.04E-04 | 1.43E-04 | 3.12E-04 | 4.29E-04 | 1.59E-04 | 3.51E-04 |
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