High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures
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 per...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023525?viewType=HTML |
| _version_ | 1797814458465124352 |
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| author | Azmy S. Ackleh Rainey Lyons Nicolas Saintier |
| author_facet | Azmy S. Ackleh Rainey Lyons Nicolas Saintier |
| author_sort | Azmy S. Ackleh |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-13T08:08:02Z |
| format | Article |
| id | doaj.art-159119d1b5e84ef792ed13baa0275b3e |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-03-13T08:08:02Z |
| publishDate | 2023-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-159119d1b5e84ef792ed13baa0275b3e2023-06-01T01:22:26ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-05-01207118051182010.3934/mbe.2023525High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measuresAzmy S. Ackleh0Rainey Lyons1Nicolas Saintier 21. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504, USA2. Department of Mathematics and Computer Science, Karlstad University, 651 88 Karlstad, Sweden3. Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires (1428) Pabellón I - Ciudad Universitaria - Buenos Aires - ARGENTINAIn 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.https://www.aimspress.com/article/doi/10.3934/mbe.2023525?viewType=HTMLcoagulation-fragmentation equationsize structured populationsradon measures equipped with bounded-lipschitz normfinite difference schemeshigh resolution methods |
| spellingShingle | Azmy S. Ackleh Rainey Lyons Nicolas Saintier High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures Mathematical Biosciences and Engineering coagulation-fragmentation equation size structured populations radon measures equipped with bounded-lipschitz norm finite difference schemes high resolution methods |
| title | High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures |
| title_full | High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures |
| title_fullStr | High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures |
| title_full_unstemmed | High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures |
| title_short | High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures |
| title_sort | high resolution finite difference schemes for a size structured coagulation fragmentation model in the space of radon measures |
| topic | coagulation-fragmentation equation size structured populations radon measures equipped with bounded-lipschitz norm finite difference schemes high resolution methods |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023525?viewType=HTML |
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