The quasi-optimal radial basis function collocation method: a technical note
type: Item
instance of: scholarly article
title: The quasi-optimal radial basis function collocation method: a technical note
zbMATH Open document ID: 1477.65256
DOI: 10.1155/2021/6694369
author: Yanyan Li
published in: Journal of Mathematics
publication date: 2021-11-25T00:00:00Z
review text: Summary: The traditional radial basis function parameter controls the flatness of these functions and influences the precision and stability of approximation solution. The coupled radial basis function, which is based on the infinitely smooth radial basis functions and the conical spline, achieves an accurate and stable numerical solution, while the shape parameter values are almost independent. In this paper, we give a quasi-optimal conical spline which can improve the numerical results. Besides, we consider the collocation points in the Chebyshev-type which improves solution accuracy of the method with no additional computational cost.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65D12
zbMATH DE Number: 7433555
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6694369
OpenAlex ID: W3202227828
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description: scientific article; zbMATH DE number 7433555