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A generalized differential quadrature element method

Computer Methods in Applied Mechanics and Engineering, 2000
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Generalized Differential Quadrature Method for Buckling Analysis

Journal of Engineering Mechanics, 1996
This paper presents a computationally efficient and highly accurate numerical method for analyzing the elastic buckling of columns and plates. The proposed generalized differential quadrature method (GDQM) proposes a simple numerical approach to determine the weighting coefficients for derivative approximations without any restriction on the choice of ...
H. Du, K. M. Liew, M. K. Lim
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Miscellaneous Applications of Differential Quadrature Method

2000
In the previous chapters, we have described the applications of the DQ method to fluid mechanics and solid mechanics. Apart from these two areas, the DQ method has been applied in many other areas. For the solution of general partial differential equations, Mansell et al. (1993) compared the DQ method with conventional numerical approaches. Tomasiello (
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Analysis of elliptical waveguides by differential quadrature method

IEEE Transactions on Microwave Theory and Techniques, 2000
A new approach for elliptical waveguide analysis is presented in this paper. This approach applies the global method of a differential quadrature (DQ) to discretize the Helmholtz equation and then reduces it into an eigenvalue equation system. All the cutoff wavelengths from low-to high-order modes can be simultaneously obtained from the eigenvalues of
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Generalized Differential Quadrature Method for Burgers Equation

Computer Technology and Applications, 2003
The generalized differential quadrature method as an accurate and efficient numerical method is developed for the Burgers equation. The numerical algorithm for this class of problem is presented. Differential quadrature approximation of needed derivatives is given by a weighted linear sum of the function values at grid points.
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Stability and accuracy of the iterative differential quadrature method

International Journal for Numerical Methods in Engineering, 2003
AbstractIn this paper the stability and accuracy of an iterative method based on differential quadrature rules will be discussed. The method has already been proposed by the author in a previous work, where its good performance has been shown. Nevertheless, discussion about stability and accuracy remained open.
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Inverse Differential Quadrature Method and its Application in Engineering

Inverse Differential Quadrature Method and its Application in Engineering is the first book to comprehensively cover the development of a new numerical solution technique: the inverse differential quadrature method (iDQM), as an indirect approximation technique that can circumvent numerical differentiation-induced errors in the solution of systems of ...
Saheed O. Ojo   +3 more
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Generalized differential quadrature method for Timoshenko beam

2003
The generalized differential quadrature method as an accurate and efficient numerical method is developed for the Timoshenko beam problem. The numerical algorithm for this class of problem is presented. Differential quadrature appriximation of needed derivatives is given by a weighted linear sum of the function values at grid points.
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