Finite difference discretizations by differential quadrature techniques

A differential quadrature finite difference method (DQFDM) is proposed. The finite difference operators are derived by the differential quadrature (DQ ). They can be obtained by using the weighting coefficients for DQ discreti zations. The derivation is straightforward. By using different orders or th e same order but different grid DQ discretizations for the same derivative or partial derivative, various finite difference operators for the same dif ferential or partial differential operator can be obtained. Finite differen ce operators for unequally spaced and irregular grids can also be generated through the use of generic differential quadrature (GDQ). The derivation o f higher order finite difference operators is also easy. Copyright (C) 1999 John Wiley & Sons, Ltd.