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Integrated multiquadric radial basis function approximation methods

✍ Scribed by S.A. Sarra


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
763 KB
Volume
51
Category
Article
ISSN
0898-1221

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✦ Synopsis


Promising numerical results using once and twice integrated radial basis functions have been recently presented. In this work we investigate the integrated radial basis function (IRBF) concept in greater detail, connect to the existing RBF theory, and make conjectures about the properties of IRBF approximation methods. The IRBF methods are used to solve PDEs. @ 2006 Elsevier Ltd. All rights reserved.


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The technique for transferring the domain integrals into equivalent boundary integrals, published in this journal by Wen, Aliabadi and Rooke, requires analytical expressions for ΓΏve integrals of radial basis functions. Exact solutions for these integrals are obtained by using Mathematica. The soluti