Solve partial differential equations by meshless subdomains method combined with RBFs

DOI10.1016/j.amc.2005.04.110zbMath1089.65125OpenAlexW2040522421MaRDI QIDQ2490242

Yunxin Zhang, Yong-ji Tan

Publication date: 28 April 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.04.110

zbMATH Keywords

comparison of methodsnumerical examplesradial basis functionscollocation methodsPetrov-Galerkin methodsMeshless methodweighted residual methodsGeneral Galerkin methodSubdomains method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for higher-order elliptic equations (35J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (8)

Application of RBFs collocation method for solving integral equations ⋮ Solving partial differential equations by meshless methods using radial basis functions ⋮ A method for solving partial differential equations via radial basis functions: application to the heat equation ⋮ A meshless method using the radial basis functions for numerical solution of the regularized long wave equation ⋮ A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation ⋮ Meshless schemes for unsteady Navier--Stokes equations in vorticity formulation using radial basis functions ⋮ A meshless method using radial basis functions for the numerical solution of two-dimensional ZK-BBM equation ⋮ New implementation of radial basis functions for solving Burgers-Fisher equation

Cites Work

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• Meshless Galerkin methods using radial basis functions
• Multivariate Interpolation and Conditionally Positive Definite Functions. II
• Domain decomposition for radial basis meshless methods
• Interpolation with variably scaled kernels

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