Figure 1

(a) The plot of the stability constant \(S_{c}\) for Example 2, with \(N=35\), \(n=9\), \(M=70\), and \(\alpha =0.3321\) at \(t=1\). We see that \(1.3008 \leq S_{c} \leq 1.3504\). It is observed that the upper and lower bounds for the stability constant are very small numbers, which guarantees that the proposed localized meshless scheme is stable. (b) The contour of integration