[HTML][HTML] Differential quadrature method based on the highest derivative and its applications
X Wu, Y Ren - Journal of computational and applied mathematics, 2007 - Elsevier
The numerical differentiation is often used when dealing with the differential equations.
Using the numerical differentiation, the differential equations can be transformed into …
Using the numerical differentiation, the differential equations can be transformed into …
[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 …
and engineering. The subjects in these fields are of continued research interest. A variety of …
[HTML][HTML] Variational differential quadrature: a technique to simplify numerical analysis of structures
MF Shojaei, R Ansari - Applied Mathematical Modelling, 2017 - Elsevier
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 …
which is called variational differential quadrature (VDQ). The main idea of this method is …
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 …
value differential equations with a linear or nonlinear nature. Unlike the classic Differential …
[HTML][HTML] Spline-based DQM for multi-dimensional PDEs: Application to biharmonic and Poisson equations in 2D and 3D
M Ghasemi - Computers & Mathematics with Applications, 2017 - Elsevier
The idea of differential quadrature is used to construct a new algorithm for the solution of
differential equations. To determine the weighting coefficients of DQM, B-spline basis …
differential equations. To determine the weighting coefficients of DQM, B-spline basis …
Differential quadrature Trefftz method for irregular plate problems
X Liu, X Wu - Engineering analysis with boundary elements, 2009 - Elsevier
Differential quadrature Trefftz method (DQTM) is developed to deal with plate problems
defined in irregular domains. DQTM divides the solution into two parts, a particular solution …
defined in irregular domains. DQTM divides the solution into two parts, a particular solution …
Characteristics of the differential quadrature method and its improvement
W Fangzong, L Xiaobing… - Mathematical Problems in …, 2015 - Wiley Online Library
The differential quadrature method has been widely used in scientific and engineering
computation. However, for the basic characteristics of time domain differential quadrature …
computation. However, for the basic characteristics of time domain differential quadrature …
Solution of partial differential equations by a global radial basis function-based differential quadrature method
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 …
regions by using functional values along a mesh line to approximate derivatives. In this …
[HTML][HTML] A general spline differential quadrature method based on quasi-interpolation
The differential quadrature method is a numerical discretization technique for the
approximation of derivatives. The classical method is polynomial-based, and there is a …
approximation of derivatives. The classical method is polynomial-based, and there is a …
Application of differential quadrature method to structural and vibration analysis
C Shu, C Shu - Differential Quadrature and Its Application in …, 2000 - Springer
As shown in the previous chapters, the differential quadrature method has a feature in that it
can obtain very accurate numerical results by using just a few grid points. This feature has a …
can obtain very accurate numerical results by using just a few grid points. This feature has a …