Consistent, non-oscillatory RBF finite difference solutions to boundary layer problems for any degree on uniform grids

DOI10.1016/j.aml.2020.106944zbMath1461.65217OpenAlexW3111476123MaRDI QIDQ1996349

Jae-Hun Jung, Jiaxi Gu

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106944

zbMATH Keywords

finite difference methodsingular perturbation problemshape parameterGaussian radial basis function

Mathematics Subject Classification ID

Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11) Numerical radial basis function approximation (65D12)

Cites Work

• Unnamed Item
• Unnamed Item
• Local RBF-based differential quadrature collocation method for the boundary layer problems
• Adaptive multiquadric collocation for boundary layer problems
• Perturbation methods in applied mathematics
• A boundary value technique for singular perturbation problems
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• On optimization of the RBF shape parameter in a grid-free local scheme for convection dominated problems over non-uniform centers
• Radial basis functions for solving differential equations: ill-conditioned matrices and numerical stability
• On supraconvergence phenomenon for second order centered finite differences on non-uniform grids
• Adaptive Gaussian radial basis function methods for initial value problems: construction and comparison with adaptive multiquadric radial basis function methods
• Adaptive radial basis function methods for initial value problems
• Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
• Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems
• Convergence of Increasingly Flat Radial Basis Interpolants to Polynomial Interpolants
• RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER

This page was built for publication: Consistent, non-oscillatory RBF finite difference solutions to boundary layer problems for any degree on uniform grids