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Title: Integrated radial basis functions-based differential quadrature method and its performance
Authors: Shu, C. 
Wu, Y.L. 
Keywords: Approximation of derivatives
Burger's equation
Concentric annuli
Integrated RBF
Natural convection
Issue Date: 28-Feb-2007
Citation: Shu, C., Wu, Y.L. (2007-02-28). Integrated radial basis functions-based differential quadrature method and its performance. International Journal for Numerical Methods in Fluids 53 (6) : 969-984. ScholarBank@NUS Repository.
Abstract: In this paper, indirect radial basis function networks (IRBFN) proposed by Nam and Tranh (Neural Networks 2001; 14(2):185-199; Appl. Math. Modelling 2003; 27:197-220) are incorporated into the differential quadrature (DQ) approximation of derivatives. For simplicity, this new variant of RBF-DQ approach is named as iRBF-DQ method. The proposed approach is validated by its application to solve the one-dimensional Burger's equation, and simulate natural convection in a concentric annulus by solving Navier-Stokes equations. It was found that as compared to the benchmark data, the iRBF-DQ approach can provide more accurate results than the original RBF-DQ method. Copyright © 2006 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical Methods in Fluids
ISSN: 02712091
DOI: 10.1002/fld.1315
Appears in Collections:Staff Publications

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