Chebyshev tau meshless method based on the highest derivative for fourth order equations

DOI10.1016/j.apm.2012.04.015zbMath1351.74164OpenAlexW2063473221MaRDI QIDQ350486

Wenting Shao, Xiong-Hua Wu

Publication date: 7 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.04.015

zbMATH Keywords

irregular domainfourth order equationsChebyshev tau meshless methodmultiple boundary conditionsthe highest derivative

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items (4)

Numerical study of an adaptive domain decomposition algorithm based on Chebyshev tau method for solving singular perturbed problems ⋮ Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations ⋮ A numerical study for the KdV and the good Boussinesq equations using Fourier Chebyshev tau meshless method ⋮ An effective Chebyshev tau meshless domain decomposition method based on the integration-differentiation for solving fourth order equations

Cites Work

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• Differential quadrature method based on the highest derivative and its applications
• An effective spectral collocation method for the direct solution of high-order ODEs
• Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials
• Polynomial particular solutions for certain partial differential operators

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