High-order numerical method for the fractional Korteweg-de Vries equation using the discontinuous Galerkin method

High-order numerical method for the fractional Korteweg-de Vries equation using the discontinuous Galerkin method

The fractional Korteweg-de Vries (KdV) equation generalizes the classical KdV equation by incorporating truncation effects within bounded domains, offering a flexible framework for modeling complex phenomena. This paper develops a high-order, fully discrete local discontinuous Galerkin (LDG) method...

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Bibliographic Details
Main Author: Yanhua Gu
Format: Article
Language:English
Published: AIMS Press 2025-01-01
Series:AIMS Mathematics
Subjects:
fractional derivative
finite element method
stability
error analysis
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025063
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