This article points out that the differential quadrature (DQ) and differential cubature (DC)
methods, due to their global domain property, are more efficient for nonlinear problems than …

Numerical solution procedures occupy an extremely important part in many areas of science
and engineering. The subjects in these fields are of continued research interest. A variety of …

Modern Tools to Perform Numerical DifferentiationThe original direct differential quadrature
(DQ) method has been known to fail for problems with strong nonlinearity and material …

The numerical differentiation is often used when dealing with the differential equations.
Using the numerical differentiation, the differential equations can be transformed into …

A new solution method in the area of computational mechanics is developed in this article,
which is called variational differential quadrature (VDQ). The main idea of this method is …

In this work, we introduce an integration matrix operator that is fully consistent with the
differentiation matrix operator defined by the differential quadrature method (DQM). Using …

We employ a radial basis function (RBF)-differential quadrature (DQ) method for the
numerical solution of elliptic boundary value problems in annular domains. With an …

This article shows that the weighting coefficient matrices of the differential quadrature
method (DQM) are centrosymmetric or skew‐centrosymmetric, if the grid spacings are …

This paper proposes a general framework of the transformed differential quadrature method
(TDQM) for solving partial differential equations (PDEs). First, the basic mathematical …

The conventional differential quadrature (DQ) method is limited in its application to regular
regions by using functional values along a mesh line to approximate derivatives. In this …