Circulant matrix and conformal mapping for solving partial differential equations

DOI10.1016/j.camwa.2014.05.005zbMath1369.65167OpenAlexW2133675677MaRDI QIDQ2398881

Wen Li, Ching-Shyang Chen, Ming Li, Xiao Yan Liu

Publication date: 21 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.05.005

zbMATH Keywords

conformal mappingradial basis functionscirculant matrixmethod of fundamental solutionsmethod of particular solutions

Mathematics Subject Classification ID

Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (2)

Application of conformal mappings and the numerical analysis of conditioning of the matrices in Trefftz method for some boundary value problems ⋮ Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method

Cites Work

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• A localized approach for the method of approximate particular solutions
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• Meshfree explicit local radial basis function collocation method for diffusion problems
• Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems
• Some comments on the ill-conditioning of the method of fundamental solutions
• The method of fundamental solutions for elliptic boundary value problems
• Local multiquadric approximation for solving boundary value problems
• DERIVATION OF PARTICULAR SOLUTIONS USING CHEBYSHEV POLYNOMIAL BASED FUNCTIONS

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