High Resolution Finite Difference Schemes for a Size Structured Coagulation-Fragmentation Model in the Space of Radon Measures
Numerical Analysis
2023-03-22 v1 Numerical Analysis
Populations and Evolution
Abstract
In this paper we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space of Radon measures. We prove the convergence of each of the two schemes to the unique weak solution of the model. We perform numerical simulations to demonstrate that the second order accuracy is achieved by both schemes.
Keywords
Cite
@article{arxiv.2303.11433,
title = {High Resolution Finite Difference Schemes for a Size Structured Coagulation-Fragmentation Model in the Space of Radon Measures},
author = {Azmy S. Ackleh and Rainey Lyons and Nicolas Saintier},
journal= {arXiv preprint arXiv:2303.11433},
year = {2023}
}