| Summary: | In this article the numerical solution of thin plates problem is introduced by using the differential quadrature method together with Chebyshev Gauss Lobatto sampling points for modeling the vibration of a square thin plate.The explicit formula of the weighting coefficients for approximation of derivatives is utilized with the aid of the G-spline interpolation function.A numerical example is presented and the results that have been obtained are compared with the existing methods in order to illustrate the validity and accuracy of the proposed approach. Keywords: Differential quadrature method, Hermite-Birkhoff problem (HB-problem), G-spline interpolation, Chebyshev Gauss Lobatto points
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