High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures-Reference-Cited by-同舟云学术

High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures

Published:2023 Issue:7 Volume:20 Page:11805-11820
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Ackleh Azmy S.¹,Lyons Rainey²,Saintier Nicolas³

Affiliation:

1. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504, USA

2. Department of Mathematics and Computer Science, Karlstad University, 651 88 Karlstad, Sweden

3. Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires (1428) Pabellón I - Ciudad Universitaria - Buenos Aires - ARGENTINA

Abstract

<abstract><p>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 in the Bounded-Lipschitz norm is achieved by both schemes.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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