Differential quadrature element analysis using extended differential quadrature

The extended differential quadrature (EDQ) has been proposed. A certain order derivative or partial derivative of the variable function with respect to the coordinate variables at an arbitrary discrete point is expressed as a weighted linear sum of the values of function and/or its possible derivatives at all grid nodes. The grid pattern can be fixed while the selection of discrete points for defining discrete fundamental relations is flexible. This method can be used to the differential quadrature element and generalized differential quadrature element analyses.