A differential quadrature as a numerical method to solve differential equations

TY Wu, GR Liu - Computational Mechanics, 1999 - Springer
A Differential Quadrature proposed here can be used to solve boundary-value and initial-
value differential equations with a linear or nonlinear nature. Unlike the classic Differential …

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 …

Application of generalized differential quadrature method to structural problems

H Du, MK Lim, RM Lin - International Journal for Numerical …, 1994 - Wiley Online Library
This paper presents the first endeavour to exploit a generalized differential quadrature
method as an accurate, efficient and simple numerical technique for structural analysis …

Three-dimensional static solutions of rectangular plates by variant differential quadrature method

KM Liew, TM Teo, JB Han - International Journal of Mechanical Sciences, 2001 - Elsevier
An endeavor to exploit three-dimensional elasticity solutions for bending and buckling of
rectangular plates via the differential quadrature (DQ) and harmonic differential quadrature …

[PDF][PDF] Differential quadrature method and its applications in engineering

W Chen - Department of Mechanical Engineering, Shanghai Jiao …, 1996 - researchgate.net
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 …

Application of generalized differential quadrature to vibration analysis

H Du, MK Lim, RM Lin - Journal of Sound and Vibration, 1995 - Elsevier
This paper presents a first endeavour to exploit the generalized differential quadrature
method as an accurate, efficient and convenient numerical technique for vibration analysis …

Beam theory reformulation to implement various boundary conditions for generalized differential quadrature method

MM Keleshteri, J Jelovica - Engineering Structures, 2022 - Elsevier
Generalized differential quadrature (GDQ) method is often used for static and dynamic
analysis of structures due to its simplicity and low computational cost. The difficulty arises in …

Three-dimensional elasticity solutions to some orthotropic plate problems

TM Teo, KM Liew - International journal of solids and structures, 1999 - Elsevier
This paper presents a three-dimensional analysis of rectangular orthotropic plates by
employing the differential quadrature (DQ) method. The derivation of the governing …

Static and free vibrational analysis of beams and plates by differential quadrature method

CW Bert, X Wang, AG Striz - Acta Mechanica, 1994 - Springer
The new approach for application of boundary conditions in the differential quadrature (DQ)
method, proposed earlier by the present authors, is extended to generalized force boundary …

Static analysis of Mindlin plates: the differential quadrature element method (DQEM)

JB Han, KM Liew - Computer Methods in Applied Mechanics and …, 1999 - Elsevier
The differential quadrature method (DQM) is a new numerical method for fast solving linear
and nonlinear differential equations based on global basis functions. In the present study, a …