
160 Meshless methods and their numerical properties
of λ
1
by 2, and with Equation (4.5) to compute the values of h
r2
. As a result,
N
r
= 5 × 5, 9 × 9, 13 × 13, and 19×19 are obtained. The convergence curves
are plotted in Figure4.10a and Figure4.10b and the convergence rates of the
derivative are superconvergent. Figure4.10c shows a comparison between
the numerical and analytical values of the distributed eld variable.
The fourth 2-D problem is of steady-state heat conduction in a rectangu-
lar plate domain with a heat source. The governing equation and boundary
conditions are given as
Ts sy sy
2sech[(0.5)]tanh[ (0.5)],(0 0.5),(
)