Upwind local differential quandrature method for solving coupled viscous flow and heat transfer equations

ASJ Al-Saif, Z Zheng-you - Applied Mathematics and Mechanics, 2004 - Springer
The differential quadrature method (DQM) has been applied successfully to solve
numerically many problems in the fluid mechanics. But it is only limited to the flow problems …

Multipoint boundary value problems by differential quadrature method

GR Liu, TY Wu - Mathematical and Computer Modelling, 2002 - Elsevier
This paper extends the application of the differential quadrature method (DQM) to high order
(≥ 3rd) ordinary differential equations with the boundary conditions specified at multiple …

Differential quadrature domain decomposition method for problems on a triangular domain

X Wu, S Liu - … Methods for Partial Differential Equations: An …, 2005 - Wiley Online Library
The differential quadrature method (DQM) has been studied for years and it has been shown
by many researchers that the DQM is an attractive numerical method with high efficiency and …

A multidomain differential quadrature approach to plane elastic problems with material discontinuity

Z Zong, KY Lam, YY Zhang - Mathematical and Computer Modelling, 2005 - Elsevier
Differential Quadrature (DQ) is a high-order numerical scheme, yielding very accurate
results by use of very small number of nodal points. But it requires the functions to be …

Application of a new differential quadrature element method to free vibrational analysis of beams and frame structures

X Wang, Y Wang, Y Zhou - Journal of Sound and Vibration, 2004 - Elsevier
The differential quadrature (DQ) method, introduced by Bellman and Casti in 1971 [1], has
drawn caused much attention in recent years owing to its favorable features, such as the …

Application of the generalized differential quadrature rule to initial–boundary-value problems

TY Wu, GR Liu, YY Wang - Journal of Sound and Vibration, 2003 - Elsevier
Partial differential equations (PDEs) for the forced vibration of structural beams are solved in
this paper using the recently proposed generalized differential quadrature rule (GDQR). The …

Stability analysis and order improvement for time domain differential quadrature method

F Wang, X Liao, X Xie - Advances in Applied Mathematics and …, 2016 - cambridge.org
The differential quadrature method has been widely used in scientific and engineering
computation. However, for the basic characteristics of time domain differential quadrature …

High‐accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain

Y Xing, B Liu - International journal for numerical methods in …, 2009 - Wiley Online Library
Based on the differential quadrature (DQ) rule, the Gauss Lobatto quadrature rule and the
variational principle, a DQ finite element method (DQFEM) is proposed for the free vibration …

Solution of composite nonuniform plate problems by the differential quadrature finite difference method

CN Chen - American Society of Mechanical Engineers …, 2000 - researchoutput.ncku.edu.tw
The differential quadrature finite difference method (DQFDM) has been proposed by the
author. The finite difference operators are derived by the differential quadrature (DQ). They …

Modeling via differential quadrature method: three-dimensional solutions for rectangular plates

KM Liew, TM Teo - Computer Methods in Applied Mechanics and …, 1998 - Elsevier
This paper presents the formulation and numerical analysis of the three-dimensional plate
model using the differential quadrature (DQ) method. The equilibrium equations, stress …