High Resolution Finite Difference Schemes for a Size Structured Coagulation-Fragmentation Model in the Space of Radon Measures

2023/03/20 by Azmy S. Ackleh, Rainey Lyons, Ackleh, Azmy S. +3 · 1 citation
Environmental Science · #35L60 #65M06 #92D25 #Coagulation and Flocculation Studies #FOS: Biological sciences #FOS: Mathematics #Numerical Analysis (math.NA) #Populations and Evolution (q-bio.PE)

paper · pdf · doi:10.48550/arxiv.2303.11433

openalex publication_date 2023/03/20 · openalex created_date 2023/03/23 · openalex updated_date 2026/07/28

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.

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