Integrated radial basis functions-based differential quadrature method and its performance

Please use this identifier to cite or link to this item: https://doi.org/10.1002/fld.1315

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 iRBF-DQ Natural convection RBF-DQ
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. https://doi.org/10.1002/fld.1315
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
URI:	http://scholarbank.nus.edu.sg/handle/10635/60570
ISSN:	02712091
DOI:	10.1002/fld.1315
Appears in Collections:	Staff Publications

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