Proposal for Use the Fractional Derivative of Radial Functions in Interpolation Problems
Numerical Analysis
2024-01-23 v2 Numerical Analysis
Analysis of PDEs
Abstract
In this document we present the construction of a radial functions that have the objective of emulating the behavior of the radial basis function thin plate spline (TPS), which we will name as function TPS, we propose a way to partially and totally apply the fractional derivative to these functions to be used in interpolation problems, a proposal is presented to precondition the matrices generated in the interpolation problem using the decomposition and finally is proposed the form of a radial interpolant to be used when solving differential equations using the asymmetric collocation method.
Keywords
Cite
@article{arxiv.1906.03760,
title = {Proposal for Use the Fractional Derivative of Radial Functions in Interpolation Problems},
author = {A. Torres-Hernandez and F. Brambila-Paz and C. Torres-Martínez},
journal= {arXiv preprint arXiv:1906.03760},
year = {2024}
}