A Legendre spectral-element method for the one-dimensional fourth-order equations

DOI10.1016/j.amc.2011.08.107zbMath1244.65117OpenAlexW2009884382MaRDI QIDQ426392

Qingqu Zhuang

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.107

zbMATH Keywords

convergencenumerical exampleserror analysissparse matricesfourth-order equationLegendre-Galerkin approximationspectral-element method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05)

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