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A Differential Quadrature as a numerical method to solve differential equations

Computational Mechanics, 1999
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 Quadrature Method (DQM), the newly proposed Differential Quadrature chooses the function values and some derivatives wherever necessary as independent variables ...
Wu, T.Y., Liu, G.R.
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A DIFFERENTIAL QUADRATURE FINITE ELEMENT METHOD

International Journal of Applied Mechanics, 2010
This paper studies the differential quadrature finite element method (DQFEM) systematically, as a combination of differential quadrature method (DQM) and standard finite element method (FEM), and formulates one- to three-dimensional (1-D to 3-D) element matrices of DQFEM.
YUFENG XING, BO LIU, GUANG LIU
openaire   +1 more source

Advanced Differential Quadrature Methods

open access: yes, 2009
Modern Tools to Perform Numerical DifferentiationThe original direct differential quadrature (DQ) method has been known to fail for problems with strong nonlinearity and material discontinuity as well as for problems involving singularity, irregularity ...
Zhang, Yingyan (R16062)   +2 more
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A new differential quadrature methodology for beam analysis and the associated differential quadrature element method

Computer Methods in Applied Mechanics and Engineering, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karami, G., Malekzadeh, P.
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A quadrature method for numerical solutions of fractional differential equations

Applied Mathematics and Computation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mujeeb ur Rehman   +2 more
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Analysis of Toroidal Shells Using the Differential Quadrature Method

International Journal of Structural Stability and Dynamics, 2003
In new applications of toroidal shells it is often necessary to solve problems of statics, response, vibration, and buckling. While the finite element method can serve as the main means of analysis it is desirable to have available a second, complementary, method that can be used for verification, parametric studies, and specialized analyses.
Redekop, D., Muhammad, T.
openaire   +1 more source

Modeling of nonuniform interconnects by using differential quadrature method

VLSI Design 2001. Fourteenth International Conference on VLSI Design, 2002
This paper discusses an efficient numerical approximation technique, called the differential quadrature method (DQM), which has been adapted to model lossy nonuniform interconnects. DQM discretizes Telegrapher's equations into algebraic equations, which can be represented by compact equivalent circuit models, whose port voltages and currents are ...
Qinwei Xu   +2 more
openaire   +1 more source

Inverse Differential Quadrature Method

2.1 Introduction Problems in engineering are typically governed by a system of high-order differential equations subject to various constraints, typically at boundaries, which require efficient numerical methods to provide reliable solutions.
Saheed O. Ojo   +3 more
openaire   +1 more source

Differential Quadrature Method in Computational Mechanics: A Review

Applied Mechanics Reviews, 1996
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 early 70s and, since then, the technique has been successfully employed in a variety of problems in engineering and physical sciences.
Charles W. Bert, Moinuddin Malik
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Solution of Helmholtz equation by differential quadrature method

Computer Methods in Applied Mechanics and Engineering, 1999
The polynomial-based differential quadrature and the Fourier expansion-based differential quadrature methods are examined for the two-dimensional Helmholtz equation. Examples indicate that 2 to 3 grid points per wavelength suffice.
Shu, C., Xue, H.
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