Finite pointset method for biharmonic equations

DOI10.1016/J.CAMWA.2018.02.029zbMath1419.65141OpenAlexW2802989762MaRDI QIDQ2001325

N. Kousalya, L. Jones Tarcius Doss

Publication date: 3 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.02.029

zbMATH Keywords

biharmonic equationmeshfree methodfinite pointset method (FPM)weighted least squares method

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Numerical optimization and variational techniques (65K10) Boundary value problems for higher-order elliptic equations (35J40)

Related Items (3)

Pseudospectral meshless radial point interpolation for generalized biharmonic equation subject to simply supported and clamped boundary conditions ⋮ Pseudospectral meshless radial point interpolation for generalized biharmonic equation in the presence of Cahn-Hilliard conditions ⋮ A high-efficient splitting step reduced-dimension pure meshless method for transient 2D/3D Maxwell's equations in complex irregular domain

Uses Software

• Mfree2D

Cites Work

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• A meshless method based on boundary integral equations and radial basis functions for biharmonic-type problems
• Variational iteration method for solving biharmonic equations
• A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems
• Solution of the two dimensional second biharmonic equation with high‐order accuracy
• Spinodal decomposition for the cahn-hilliard equation
• Meshless Methods for Conservation Laws

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