Abstract

A general numerical dispersion relationship of the two-dimensional (2-D) radial point interpolation meshless (RPIM) method is deduced in detail in this paper. The characteristics of the numerical dispersion of the RPIM method based on Gaussian and Multiqudric basic functions are both observed. Recommendations for parameter selection of two basic functions are given. And the numerical dispersion of the finite-difference time-domain method (FDTD) is calculated to validate the effectiveness of the proposed numerical dispersion relationships.

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