New approaches in application of differential quadrature method to fourth‐order differential equations

X Wang, F Liu, X Wang, L Gan - Communications in Numerical …, 2005 - Wiley Online Library
Various methods to apply multiple boundary conditions in the differential quadrature method
are summarized and discussed. Two of them are new approaches appearing for the first …

A new approach to the differential quadrature method for fourth‐order equations

W Chen, AG Striz, CW Bert - International Journal for Numerical …, 1997 - Wiley Online Library
A generalized and more complete methodology for treating boundary conditions in the
Differential Quadrature Method (DQM) is presented. This improved approach eliminates the …

Application of the generalized differential quadrature rule to eighth‐order differential equations

TY Wu, GR Liu - Communications in Numerical Methods in …, 2001 - Wiley Online Library
This work extends the application of the generalized differential quadrature rule (GDQR) to
an eighth‐order boundary‐value differential equation with four boundary conditions at …

Imposition of boundary conditions by modifying the weighting coefficient matrices in the differential quadrature method

TC Fung - International Journal for Numerical Methods in …, 2003 - Wiley Online Library
One of the important issues in the implementation of the differential quadrature method is the
imposition of the given boundary conditions. There may be multiple boundary conditions …

Differential quadrature method in computational mechanics: a review

CW Bert, M Malik - 1996 - asmedigitalcollection.asme.org
The differential quadrature method is a numerical solution technique for initial and/or
boundary problems. It was developed by the late Richard Bellman and his associates in the …

Solving initial value problems by differential quadrature method—part 2: second‐and higher‐order equations

TC Fung - International Journal for Numerical Methods in …, 2001 - Wiley Online Library
In Part 1 of this paper, the sampling grid points for the differential quadrature method to give
unconditionally stable higher‐order accurate time step integration algorithms are proposed …

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 …

Static and free vibration analyses of rectangular plates by the new version of the differential quadrature element method

Y Wang, X Wang, Y Zhou - International Journal for Numerical …, 2004 - Wiley Online Library
A new version of the differential quadrature method is presented in this paper to overcome
the difficulty existing in the ordinary differential quadrature method for applying multi …

Triangular differential quadrature

H Zhong - Communications in numerical methods in …, 2000 - Wiley Online Library
A triangular differential quadrature method (TDQM) is proposed in the paper. The partial
derivative of a function with respect to space variables at a given point is approximated by a …

[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 …