Searching for an optimal shape parameter for solving a partial differential equation with the radial basis functions method

DOI10.1016/j.enganabound.2017.12.013zbMath1403.65104OpenAlexW2781874919WikidataQ115353836 ScholiaQ115353836MaRDI QIDQ1658815

Leopold Vrankar, Marko Urleb

Publication date: 15 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.12.013

zbMATH Keywords

diffusion equationsshape parameterradial basis functions (RBFs)multiquadric RBFs method

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (2)

A meshless collocation method based on radial basis functions for free and forced vibration analysis of functionally graded plates using FSDT ⋮ A review of radial basis function with applications explored

Uses Software

• Matlab

Cites Work

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• Moving-boundary problems solved by adaptive radial basis functions
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• A meshless singular boundary method for three‐dimensional elasticity problems
• An improved subspace selection algorithm for meshless collocation methods
• A mesh‐free approach to solving the axisymmetric Poisson's equation

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