ADAPTIVE METHOD OF PARTICULAR SOLUTION FOR SOLVING 3D INHOMOGENEOUS ELLIPTIC EQUATIONS

DOI10.1142/S0219876210002271zbMath1267.65190OpenAlexW1968486420WikidataQ58222878 ScholiaQ58222878MaRDI QIDQ2837977

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Publication date: 8 July 2013

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876210002271

zbMATH Keywords

radial basis functionsmeshless methodadaptive greedy algorithm

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35)

Related Items (7)

Method of approximate particular solutions for constant- and variable-order fractional diffusion models ⋮ Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solutions ⋮ The golden section search algorithm for finding a good shape parameter for meshless collocation methods ⋮ The method of particular solutions using trigonometric basis functions ⋮ The Modified Localized Method of Approximated Particular Solutions for Linear and Nonlinear Convection-Diffusion-Reaction PDEs ⋮ The method of approximate particular solutions for the time-fractional diffusion equation with a non-local boundary condition ⋮ Solving moving-boundary problems with the wavelet adaptive radial basis functions method

Cites Work

• Unnamed Item
• The role of the multiquadric shape parameters in solving elliptic partial differential equations
• On convergent numerical algorithms for unsymmetric collocation
• Multiquadric collocation method with integralformulation for boundary layer problems
• Particular solutions of Helmholtz-type operators using higher order polyharmonic splines
• Results on meshless collocation techniques
• Error estimate, optimal shape factor, and high precision computation of multiquadric collocation method
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation
• An improved subspace selection algorithm for meshless collocation methods

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