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Solution of Helmholtz equation by differential quadrature method
Computer Methods in Applied Mechanics and Engineering, 1999The 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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Differential Quadrature Method in Computational Mechanics: A Review
Applied Mechanics Reviews, 1996The 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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Miscellaneous Applications of Differential Quadrature Method
2000In 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, 2000A 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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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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Stability and accuracy of the iterative differential quadrature method
International Journal for Numerical Methods in Engineering, 2003AbstractIn 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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Generalized Differential Quadrature Method for Burgers Equation
Computer Technology and Applications, 2003The 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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Sinc Methods for Quadrature and Differential Equations
1992John Lund, Kenneth L. Bowers
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Generalized differential quadrature method for Timoshenko beam
2003The 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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