A new Galerkin spectral element method for fourth-order boundary value problems

DOI10.1080/00207160.2015.1011142zbMath1343.65141OpenAlexW2090503985MaRDI QIDQ5739589

Lijun Yi, Tao Sun

Publication date: 19 July 2016

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1011142

zbMATH Keywords

weak formulationspectral finite elementquasi-orthogonal approximationfourth-order two-point boundary value problemhinged ends

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Approximation by polynomials (41A10)

Related Items (4)

A new multi-domain spectral method for Korteweg-de Vries equation on the whole line ⋮ Connection formulae between generalized Lucas polynomials and some Jacobi polynomials: application to certain types of fourth-order BVPs ⋮ Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs ⋮ An efficient Legendre–Galerkin spectral element method for the steady flows in rectangular cavities

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