The generalized differential quadrature rule for fourth‐order differential equations

TY Wu, GR Liu - International Journal for Numerical Methods in …, 2001 - Wiley Online Library
The generalized differential quadrature rule (GDQR) proposed here is aimed at solving high‐
order differential equations. The improved approach is completely exempted from the use of …

A differential quadrature finite element method

Y Xing, B Liu, G Liu - International Journal of Applied Mechanics, 2010 - World Scientific
This paper studies the differential quadrature finite element method (DQFEM) systematically,
as a combination of differential quadrature method (DQM) and standard finite element …

Differential quadrature solution of nonlinear Klein–Gordon and sine-Gordon equations

B Pekmen, M Tezer-Sezgin - Computer Physics Communications, 2012 - Elsevier
Differential quadrature method (DQM) is proposed to solve the one-dimensional quadratic
and cubic Klein–Gordon equations, and two-dimensional sine-Gordon equation. We apply …

Parallel simulation of incompressible viscous flows by generalized differential quadrature

C Shu, BE Richard - Computing Systems in Engineering, 1992 - Elsevier
The technique of differential quadrature (DQ) for the solution of a partial differential equation
is extended and generalized. The general formulation for determining the weighting …

Free vibration analysis of curvilinear quadrilateral plates by the differential quadrature method

C Shu, W Chen, H Du - Journal of Computational Physics, 2000 - Elsevier
A methodology for applying the differential quadrature (DQ) method to the free vibration
analysis of arbitrary quadrilateral plates is developed. In our approach, the irregular physical …

The two-dimensional frame model of the differential quadrature element method

CN Chen - Computers & structures, 1997 - Elsevier
The author has proposed a differential quadrature element method (DQEM) for numerically
solving continuum mechanics problems. This method employs the differential quadrature …

Localized triangular differential quadrature

H Zhong, Y Hua, Y He - Numerical Methods for Partial …, 2003 - Wiley Online Library
A localized triangular differential quadrature method is introduced in this article. Not only is
the existing limitation on the approximation order in the triangular differential quadrature …

The radial basis function differential quadrature method with ghost points

J Lin, Y Zhao, D Watson, CS Chen - Mathematics and Computers in …, 2020 - Elsevier
We propose a simple approach to improve the accuracy of the Radial Basis Function
Differential Quadrature (RBF-DQ) method for the solution of elliptic boundary value …

[图书][B] Analysis of interacting subdomains in structural mechanics problems by the differential quadrature method

ZA Siddiqi - 1995 - search.proquest.com
A numerical procedure using the differential quadrature method (DQM) to analyze structural
mechanics problems involving discontinuities in the domain due to geometry, material …

Triangular differential quadrature and its application to elastostatic analysis of Reissner plates

H Zhong - International journal of solids and structures, 2001 - Elsevier
The recently proposed triangular differential quadrature method (TDQM) is further
elaborated in the paper. Explicit formulae to calculate the weighting coefficients for uniform …