A Space-Time Legendre-Petrov-Galerkin Method for Third-Order Differential Equations

In this article, a space-time spectral method is considered to approximate third-order differential equations with non-periodic boundary conditions. The Legendre-Petrov-Galerkin discretization is employed in both space and time. In the theoretical analysis, rigorous proof of error estimates in the w...

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Bibliographic Details
Main Authors: Siqin Tang, Hong Li
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/3/281