Effect of local support configuration on the precision of numerical solutions of Poisson equation obtained with differential quadrature method

Numerical solutions of the Poisson equation are obtained by applying the local differential quadrature method (LDQM) with two types of support and their influence on the quality of such solutions is verified. In order to do this, root mean square errors for the approximations with both supports are obtained and their dependence with the density of nodes is studied. We find out that the best accuracy obtained with one type of local support is due to the smaller condition numbers of the linear systems yielded.