High-order WENO scheme for Polymerization-type equations
Analysis of PDEs
2019-02-28 v2 Numerical Analysis
Abstract
Polymerization of proteins is a biochimical process involved in different diseases. Mathematically, it is generally modeled by aggregation-fragmentation-type equations. In this paper we consider a general polymerization model and propose a high-order numerical scheme to investigate the behavior of the solution. An important property of the equation is the mass conservation. The fifth-order WENO scheme is built to preserve the total mass of proteins along time.
Keywords
Cite
@article{arxiv.1002.2174,
title = {High-order WENO scheme for Polymerization-type equations},
author = {Pierre Gabriel and Léon Matar Tine},
journal= {arXiv preprint arXiv:1002.2174},
year = {2019}
}