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Title: Application of the generalized differential quadrature rule to eight-order differential equations
Authors: Wu, T.Y. 
Liu, G.R. 
Keywords: Collocation method
Differential quadrature method
Generalized differential quadrature rule
Numerical methods
Pseudospectral method
Shell structure
Issue Date: May-2001
Citation: Wu, T.Y., Liu, G.R. (2001-05). Application of the generalized differential quadrature rule to eight-order differential equations. Communications in Numerical Methods in Engineering 17 (5) : 355-364. ScholarBank@NUS Repository.
Abstract: This work extends the application of the generalized differential quadrature rule (GDQR) to an eighth-order boundary-value differential equation with four boundary conditions at boundaries. The differential quadrature expression and explicit weighting coefficients for the eighth-order differential equation are formulated for a first time to implement the GDQR more accurately. A circular cylindrical single-barrel roof is employed as an example. The numerical results show good accuracy and convergence with only a few sampling points. The application of the GDQR is straightforward and has clear advantages in the implementation of multiple boundary conditions over the existing δ-point technique. The GDQR has demonstrated itself as a general numerical method to solve high-order differential equation with multiple boundary conditions. Copyright © 2001 John Wiley & Sons, Ltd.
Source Title: Communications in Numerical Methods in Engineering
ISSN: 10698299
DOI: 10.1002/cnm.412
Appears in Collections:Staff Publications

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