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A Generalized Finite-Difference Method (GFDM) is proposed in this work as a new meshless method to solve partial differential equations. The method is based on moving least square approximations of an arrangement of nodes distributed in a domain. The convergence of some elliptic and parabolic problems is theoretically prove and examples are also presented. The flexibility of ability GFDM to solving PDE in complex domains is ilustrated though the simulation of the blood flow into an artery.

Método de diferenças finitas generalizadas por mínimos quadrados