A High Order IMEX Method for Generalized Korteweg de-Vries Equations
Numerical Analysis
2025-03-20 v1 Numerical Analysis
Abstract
In this paper, we introduce a high order space-time approximation of generalized Korteweg de-Vries equations. More specifically, the method uses continuous -conforming finite elements for the spatial approximation and implicit-explicit methods for the temporal approximation. The method is high order in both space, provably stable, and mass-conservative. The scheme is formulated, its properties are proven, and numerical simulations are provided to illustrate the proposed methodology.
Cite
@article{arxiv.2503.15397,
title = {A High Order IMEX Method for Generalized Korteweg de-Vries Equations},
author = {Seth Gerberding},
journal= {arXiv preprint arXiv:2503.15397},
year = {2025}
}