An efficient Fourier spectral method and error analysis for the fourth order problem with periodic boundary conditions and variable coefficients

An efficient Fourier spectral method and error analysis for the fourth order problem with periodic boundary conditions and variable coefficients

We propose in this paper an efficient algorithm based on the Fourier spectral-Galerkin approximation for the fourth-order elliptic equation with periodic boundary conditions and variable coefficients. First, by using the Lax-Milgram theorem, we prove the existence and uniqueness of weak solution and...

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Bibliographic Details
Main Authors: Tingting Jiang, Jiantao Jiang, Jing An
Format: Article
Language:English
Published: AIMS Press 2023-02-01
Series:AIMS Mathematics
Subjects:
fourth-order problems
periodic boundary conditions
variable coefficients
fourier spectral method
error estimation
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023484?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023484?viewType=HTML

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