Finite difference schemes for a size structured coagulation-fragmentation model in the space of Radon measures

Autor:	Azmy S Ackleh, Rainey Lyons, Nicolas Saintier
Rok vydání:	2022
Předmět:	Computational Mathematics Applied Mathematics General Mathematics
Zdroj:	IMA Journal of Numerical Analysis.
ISSN:	1464-3642 0272-4979
DOI:	10.1093/imanum/drac071
Popis:	We study a size-structured coagulation-fragmentation model formulated in the space of Radon measures. We reformulate this model as a mass conservation law on this space and establish its well-posedness. We develop and compare multiple finite difference schemes. In particular, we develop a fully explicit scheme and a semi-implicit scheme for the structured coagulation-fragmentation model, and we develop an explicit scheme based on the conservation law formulation. We prove convergence for each scheme and test the schemes against multiple well-known examples. We analyze and compare important properties of each scheme, such as mass conservation, order of convergence and computation time.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::33eda6afc4d003778bc79650a619bc14 https://doi.org/10.1093/imanum/drac071 Zobrazit plný text záznamu