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.


0.11.55E-033.46E-044.76E-045.66E-049.00E-051.15E-04
0.21.39E-032.98E-044.04E-043.97E-046.58E-058.62E-05
0.31.11E-032.17E-042.81E-044.02E-041.01E-041.47E-04
0.47.08E-041.04E-041.12E-046.63E-042.17E-043.43E-04
0.51.76E-048.89E-051.55E-041.11E-033.88E-046.14E-04
0.67.13E-042.87E-044.71E-041.74E-036.14E-049.67E-04
0.71.52E-035.49E-048.73E-042.56E-039.01E-041.42E-03