Please use this identifier to cite or link to this item: https://doi.org/10.1002/nme.1318
Title: Error estimates of local multiquadric-based differential quadrature (LMQDQ) method through numerical experiments
Authors: Ding, H.
Shu, C. 
Tang, D.B.
Keywords: Local multiquadric-based differential quadrature
Radial basis function
RBF
Issue Date: 21-Jul-2005
Source: Ding, H., Shu, C., Tang, D.B. (2005-07-21). Error estimates of local multiquadric-based differential quadrature (LMQDQ) method through numerical experiments. International Journal for Numerical Methods in Engineering 63 (11) : 1513-1529. ScholarBank@NUS Repository. https://doi.org/10.1002/nme.1318
Abstract: In this article, we present an error estimate of the derivative approximation by the local multiquadric-based differential quadrature (LMQDQ) method. Radial basis function is different from the polynomial approximation, in which Taylor series expansion is not applicable. So, the present analysis is performed through the numerical solution of Poisson equation. It is known that the approximation error of LMQDQ method depends on three factors, i.e. local density of knots h, free shape parameter c and number of supporting knots ns. By numerical experiments, their contribution to the approximation error and correlation were studied and analysed in this paper. An error estimate ε ∼ O((h/c)n) is thereafter proposed, in which n is a positive constant and determined by the number of supporting knots ns. Copyright © 2005 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical Methods in Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/85162
ISSN: 00295981
DOI: 10.1002/nme.1318
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