Research Article
Solving Parabolic and Hyperbolic Equations with Variable Coefficients Using Space-Time Localized Radial Basis Function Collocation Method
Table 6
Results for different values of
in Example
2 with
. Uniform spaced nodes (left) and circular nodes (right), with Dirichlet conditions.
| | | | | | | |
| | 0.1 | 1.71E-03 | 2.99E-04 | 3.80E-04 | 7.25E-04 | 1.04E-04 | 1.14E-04 | | 0.2 | 1.55E-03 | 2.52E-04 | 3.06E-04 | 5.67E-04 | 1.21E-04 | 1.41E-04 | | 0.3 | 1.29E-03 | 1.78E-04 | 1.83E-04 | 8.37E-04 | 1.88E-04 | 2.55E-04 | | 0.4 | 9.04E-04 | 1.12E-04 | 1.01E-04 | 1.23E-03 | 3.11E-04 | 4.54E-04 | | 0.5 | 9.00E-04 | 1.94E-04 | 2.82E-04 | 1.76E-03 | 4.88E-04 | 7.31E-04 | | 0.6 | 1.58E-03 | 3.95E-04 | 5.92E-04 | 2.46E-03 | 7.23E-04 | 1.09E-03 | | 0.7 | 2.43E-03 | 6.64E-04 | 1.00E-03 | 3.34E-03 | 1.02E-03 | 1.55E-03 |
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