Infinitely Smooth Polyharmonic RBF Collocation Method for Numerical Solution of Elliptic PDEs

Infinitely Smooth Polyharmonic RBF Collocation Method for Numerical Solution of Elliptic PDEs

In this article, a novel infinitely smooth polyharmonic radial basis function (PRBF) collocation method for solving elliptic partial differential equations (PDEs) is presented. The PRBF with natural logarithm is a piecewise smooth function in the conventional radial basis function collocation method...

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Bibliographic Details
Main Authors: Chih-Yu Liu, Cheng-Yu Ku, Li-Dan Hong, Shih-Meng Hsu
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Mathematics
Subjects:
partial differential equations
polyharmonic
radial basis function
source point
collocation method
Online Access:https://www.mdpi.com/2227-7390/9/13/1535

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