An investigation of radial basis function-finite difference (RBF-FD) method for numerical solution of elliptic partial differential equations

DOI10.3390/math5040054zbMath1395.65121OpenAlexW2766666589MaRDI QIDQ1649038

Ruth J. Skulkhu, Suranon Yensiri

Publication date: 5 July 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math5040054

zbMATH Keywords

regularizationpreconditioningfloating point arithmeticghost nodenumerical partial differential equations (PDEs)radial basis function-finite difference (RBF-FD) method

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for boundary value problems involving PDEs (65N06) Preconditioners for iterative methods (65F08)

Related Items (4)

Editorial. Operators of fractional calculus and their applications ⋮ Kansa-RBF algorithms for elliptic BVPs in annular domains with mixed boundary conditions ⋮ Improved numerical solution of multi-asset option pricing problem: a localized RBF-FD approach ⋮ A multiquadric RBF-FD scheme for simulating the financial HHW equation utilizing exponential integrator

Uses Software

• Matlab
• Matlab-RBF-Toolbox

Cites Work

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• A numerical study of some radial basis function based solution methods for elliptic PDEs
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• A comparison of efficiency and error convergence of multiquadric collocation method and finite element method.
• On unsymmetric collocation by radial basis functions
• Radial basis function approximation methods with extended precision floating point arithmetic
• Scattered node compact finite difference-type formulas generated from radial basis functions
• Solution of Burgers’ Equation Using a Local-RBF Meshless Method
• A radial basis function (RBF) finite difference method for the simulation of reaction–diffusion equations on stationary platelets within the augmented forcing method
• A numerical study of the accuracy and stability of symmetric and asymmetric RBF collocation methods for hyperbolic PDEs

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