Research Article
Solving Parabolic and Hyperbolic Equations with Variable Coefficients Using Space-Time Localized Radial Basis Function Collocation Method
Table 4
Results for different values of
in Example
1 with
. Uniform spaced nodes (left) and circular nodes (right), using Dirichlet and Neumann conditions.
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| 0.1 | 4.41E-04 | 1.13E-04 | 2.28E-04 | 3.89E-04 | 1.58E-04 | 3.63E-04 | 0.2 | 4.18E-04 | 1.04E-04 | 2.09E-04 | 3.79E-04 | 1.46E-04 | 3.33E-04 | 0.3 | 3.79E-04 | 8.98E-05 | 1.77E-04 | 3.67E-04 | 1.26E-04 | 2.83E-04 | 0.4 | 3.22E-04 | 6.90E-05 | 1.32E-04 | 3.84E-04 | 9.96E-05 | 2.15E-04 | 0.5 | 2.45E-04 | 4.52E-05 | 7.97E-05 | 4.05E-04 | 7.71E-05 | 1.48E-04 | 0.6 | 1.61E-04 | 4.20E-05 | 8.33E-05 | 4.26E-04 | 8.79E-05 | 1.68E-04 | 0.7 | 2.73E-04 | 8.41E-05 | 1.82E-04 | 4.61E-04 | 1.47E-04 | 3.09E-04 |
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