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Differential quadrature methods are devised to numerically solve ordinary and partial differential equations by approximating the derivatives of the unknown function at points of a cloud defined on the domain of interest as weighted sums of the values of such function at other points of the cloud. Local versions of this class of meshless methods restrict the points used in such expansion, by establishing...
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...
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