Research Article
Solving Parabolic and Hyperbolic Equations with Variable Coefficients Using Space-Time Localized Radial Basis Function Collocation Method
Table 7
Results for different values of
in Example
2 with
. Uniform spaced nodes (left) and circular nodes (right), with Dirichlet conditions.
| | | | | | | |
| 0.1 | 1.55E-03 | 3.46E-04 | 4.76E-04 | 5.66E-04 | 9.00E-05 | 1.15E-04 | 0.2 | 1.39E-03 | 2.98E-04 | 4.04E-04 | 3.97E-04 | 6.58E-05 | 8.62E-05 | 0.3 | 1.11E-03 | 2.17E-04 | 2.81E-04 | 4.02E-04 | 1.01E-04 | 1.47E-04 | 0.4 | 7.08E-04 | 1.04E-04 | 1.12E-04 | 6.63E-04 | 2.17E-04 | 3.43E-04 | 0.5 | 1.76E-04 | 8.89E-05 | 1.55E-04 | 1.11E-03 | 3.88E-04 | 6.14E-04 | 0.6 | 7.13E-04 | 2.87E-04 | 4.71E-04 | 1.74E-03 | 6.14E-04 | 9.67E-04 | 0.7 | 1.52E-03 | 5.49E-04 | 8.73E-04 | 2.56E-03 | 9.01E-04 | 1.42E-03 |
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