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In this paper, the normal derivative of the radial basis function (RBF) is introduced into the reproducing keel particle method (RKPM), and the improved reproducing keel particle method (IRKPM) is proposed. The method can decrease the errors on the boundary and improve the accuracy and stability of the algorithm. The proposed method is applied to the numerical simulation of piezoelectric materials and the corresponding goveing equations are derived. The numerical results show that the IRKPM is more stable and accurate than the RKPM.