Artículo

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

Ackleh, Azmy S.; Lyons, Rainey; Saintier, Nicolas Bernard ClaudeIcon
Fecha de publicación: 05/2023
Editorial: American Institute of Mathematical Sciences
Revista: Mathematical Biosciences and Engineering
ISSN: 1551-0018
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

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.
Palabras clave: finite difference , coagulation-fragmentation , measure space
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/237147
URL: https://www.aimspress.com/article/doi/10.3934/mbe.2023525?viewType=HTML
DOI: http://dx.doi.org/10.3934/mbe.2023525
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Citación
Ackleh, Azmy S.; Lyons, Rainey; Saintier, Nicolas Bernard Claude; High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures; American Institute of Mathematical Sciences; Mathematical Biosciences and Engineering; 20; 7; 5-2023; 11805-11820
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