Approximation of Bivariate Functions by Generalized Wendland Radial Basis Functions

Abdelouahed Kouibia (), Pedro González, Miguel Pasadas, Bassim Mustafa, Hossain Oulad Yakhlef and Loubna Omri
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Abdelouahed Kouibia: Department of Applied Mathematics, University of Granada, 18071 Granada, Spain
Pedro González: Department of Applied Mathematics, University of Granada, 18071 Granada, Spain
Miguel Pasadas: Department of Applied Mathematics, University of Granada, 18071 Granada, Spain
Bassim Mustafa: Department of Applied Mathematics, University of Granada, 18071 Granada, Spain
Hossain Oulad Yakhlef: FSJES of Tetuan, University Abdelmalek Essaidi, Tetuan 93030, Morocco
Loubna Omri: FSJES of Tetuan, University Abdelmalek Essaidi, Tetuan 93030, Morocco

Mathematics, 2024, vol. 12, issue 16, 1-10

Abstract: In this work, we deal with two approximation problems in a finite-dimensional generalized Wendland space of compactly supported radial basis functions. Namely, we present an interpolation method and a smoothing variational method in this space. Next, the theory of the presented method is justified by proving the corresponding convergence result. Likewise, to illustrate this method, some graphical and numerical examples are presented in R 2 , and a comparison with another work is analyzed.

Keywords: radial basis functions; generalized Wendland radial basis functions; interpolation; smoothing; variational methods (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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