
280 Meshless methods and their numerical properties
The analytical solution is given as fxyxyx(,)exp{ [( )/ ]
33 2
=− −+ −−βα−
y[( )/
2
−β α . This problem is solved by including up to second order mono-
mials in the polynomial basis of function approximation, and by separately
combining the total 25 uniform and random distributions of the eld nodes
at the start of computation with the total 33 × 33 cosine virtual nodes.
The initial and nal nodal distributions are shown in Figure 6.15. The
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Figure 6.15 Initial 25 random eld nodes (a) and nal total 625 eld nodes (b) duri