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A Differential Quadrature as a numerical method to solve differential equations
Computational Mechanics, 1999A 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, 2010This 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
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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
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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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Karami, G., Malekzadeh, P.
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A quadrature method for numerical solutions of fractional differential equations
Applied Mathematics and Computation, 2017zbMATH 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, 2003In 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.
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Modeling of nonuniform interconnects by using differential quadrature method
VLSI Design 2001. Fourteenth International Conference on VLSI Design, 2002This 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
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A generalized differential quadrature element method
Computer Methods in Applied Mechanics and Engineering, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Modeling of transmission lines by the differential quadrature method
IEEE Microwave and Guided Wave Letters, 1999The differential quadrature (DQ) method is employed to model transmission lines. The DQ method is a direct numerical technique. It is based on the ideas that the derivative of a function with respect to a coordinate direction can be expressed by a weighted linear sum of all function values at every mesh points along that direction.
null Qin-Wei Xu +3 more
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Differential quadrature method for pricing American options
Numerical Methods for Partial Differential Equations, 2002AbstractIn this article, differential quadrature method (DQM), a highly accurate and efficient numerical method for solving nonlinear problems, is used to overcome the difficulty in determining the optimal exercise boundary of American option. The following three parts of the problem in pricing American options are solved.
Wu, Xionghua, Ding, Zhihong
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