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A FICTITIOUS POINT METHOD FOR HANDLING BOUNDARY CONDITIONS IN THE RBF-FD METHOD

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Figure

Table 1.1: Examples of popular choices of radial kernels. The free parameter ϵ iscalled the shape parameter.
Figure 2.1: An example stencil known function values at x1, . . . , x4 and derivativevalues at x5, x6.
Figure 2.2:Plots in (a)-(d) illustrate 4 types of stencils that can occur.Bluecorresponds interior points, red to boundary points, and green to fictitious points.The center of the stencil is always x1.
Figure 2.2(b) 2.2(a) (green points).
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