Kansa RBF collocation method with auxiliary boundary centres for high order BVPs
type: Item
instance of: scholarly article
title: Kansa RBF collocation method with auxiliary boundary centres for high order BVPs
zbMATH Open document ID: 1478.65135
author: A. Karageorghis
author: Lionel Amuzu
author: C. S. Chen
published in: Journal of Computational and Applied Mathematics
publication date: 2021-07-29T00:00:00Z
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65N85
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 65D12
zbMATH DE Number: 7376408
zbMATH Keywords: radial basis functions
zbMATH Keywords: Kansa method
zbMATH Keywords: high order partial differential equations
zbMATH Keywords: collocation
zbMATH Keywords: fictitious point method
zbMATH Keywords: multiquadrics
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113680
OpenAlex ID: W3169100765
cites work: The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems
cites work: On the sinc-Galerkin method for triharmonic boundary-value problems
cites work: Isogeometric analysis of high order partial differential equations on surfaces
cites work: An unconditionally energy-stable method for the phase field crystal equation
cites work: Space of \(C^2\)-smooth geometrically continuous isogeometric functions on two-patch geometries
cites work: Efficient MFS algorithms for inhomogeneous polyharmonic problems
cites work: Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates
cites work: Q3077141
cites work: Isogeometric analysis and error estimates for high order partial differential equations in fluid dynamics
cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
cites work: On unsymmetric collocation by radial basis functions
cites work: Results on meshless collocation techniques
cites work: An adaptive LOOCV-based refinement scheme for RBF collocation methods over irregular domains
cites work: Maximum theorems for solutions of higher order elliptic equations
cites work: Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains
cites work: Partial differential equations. 3rd ed
cites work: The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions
cites work: Q3446085
cites work: Improved Kansa RBF method for the solution of nonlinear boundary value problems
cites work: A Comparison of Popular Point Configurations on $\mathbb{S}^2$
cites work: Scattered Data Interpolation: Tests of Some Method
cites work: A random variable shape parameter strategy for radial basis function approximation methods
cites work: Trigonometric variable shape parameter and exponent strategy for generalized multiquadric radial basis function approximation
cites work: Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems
cites work: The sample solution approach for determination of the optimal shape parameter in the multiquadric function of the Kansa method
cites work: An interval for the shape parameter in radial basis function approximation
cites work: On the search of the shape parameter in radial basis functions using univariate global optimization methods
cites work: An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
cites work: On choosing ``optimal'' shape parameters for RBF approximation
cites work: A robust kernel-based solver for variable-order time fractional PDEs under 2D/3D irregular domains
cites work: A semi-Lagrangian meshless framework for numerical solutions of two-dimensional sloshing phenomenon
cites work: Doubly stochastic radial basis function methods
DOI: 10.1016/J.CAM.2021.113680
description: scientific article; zbMATH DE number 7376408