Efficient and Accurate Legendre Spectral Element Methods for One-Dimensional Higher Order Problems

DOI10.4208/NMTMA.OA-2020-0082zbMath1488.65529OpenAlexW3123176794MaRDI QIDQ5017511

Xu-hong Yu, Yang Zhang, Zhong-qing Wang

Publication date: 17 December 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2020-0082

zbMATH Keywords

higher order differential equationsLegendre spectral element methodsSobolev orthogonal/biorthogonal basis functions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Algorithms for approximation of functions (65D15) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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