Fictitious centre RBF method for high order BVPs in multiply connected domains

DOI10.1016/J.AML.2021.107711OpenAlexW3202362490MaRDI QIDQ2060801

Yanyan Li

Publication date: 13 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107711

zbMATH Keywords

multiquadricsmultiply connected domainsRBFsKansa methodfictitious point methodhigh order PDEs

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Applications to the sciences (65Z05) Basic methods in fluid mechanics (76M99) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Related Items (2)

Effective condition number for the selection of the RBF shape parameter with the fictitious point method ⋮ On the selection of a better radial basis function and its shape parameter in interpolation problems

Cites Work

• Partial differential equations. 3rd ed
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• The sample solution approach for determination of the optimal shape parameter in the multiquadric function of the Kansa method
• Kansa RBF collocation method with auxiliary boundary centres for high order BVPs

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