Ghost Point Method Using RBfs and Polynomial Basis Functions
Document Type
Article
Publication Date
1-1-2021
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
© 2020 Elsevier Ltd In this paper, we propose a new Kansa method with fictitious centre approach in which the radial basis function (RBF) approximation is augmented by polynomial basis functions. The proposed approach considerably improves not only the accuracy but also the stability of the recently proposed ghost point method using radial basis functions. The difficulty of selecting a good RBF shape parameter is no longer an issue. Two numerical examples are presented to show the effectiveness and the improvement of the proposed method over previous methods.
Publication Title
Applied Mathematics Letters
Volume
111
Recommended Citation
Ma, Z.,
Li, X.,
Chen, C.
(2021). Ghost Point Method Using RBfs and Polynomial Basis Functions. Applied Mathematics Letters, 111.
Available at: https://aquila.usm.edu/fac_pubs/18365
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